notes

These are all my notes from university, A-Level, and lots of other stuff. Below it is all laid out chronologically, for a more structured view take a look at the high-level organisational posts:

You can browse and study these interactively with ExploreM and StudyM.


Non-university notes

Jan 12, 2026 How we will be measuredN

(1 min read)

Nov 06, 2025 Paper - Dynamics of Transient Structure in In-Context Linear Regression TransformersN

(1 min read)

Sep 30, 2025 Why We Sleep, WalkerN

(1 min read)

Sep 30, 2025 The Three Body Problem, LiuN

(1 min read)

Sep 30, 2025 Beggar-My-NeighbourN

(1 min read)

Sep 30, 2025 The Confessions, AugustineN

(1 min read)

Sep 30, 2025 How To Change Your Mind, PollanN

(1 min read)

Sep 30, 2025 Crime and Punishment, DostoyevskyN

(1 min read)

Sep 30, 2025 Paradise Regained, MiltonN

(1 min read)

Sep 30, 2025 Thinking Functionally With Haskell, BirdN

(1 min read)

Sep 30, 2025 ProblemsN

(1 min read)

Sep 30, 2025 TextbooksN

(1 min read)

Aug 10, 2025 Essays, EmersonN

(1 min read)

Feb 04, 2025 Paradise Lost, MiltonN

(2 min read)

Jan 10, 2025 The Ascent of Money, FergusonN

(1 min read)

Jan 09, 2025 Religio Medici, BrowneN

(1 min read)

Jan 09, 2025 Complete Poems, MiltonN

(2 min read)

Jan 08, 2025 Paper - Mastering the Game of Go with Deep Neural Networks and Tree SearchN

(3 min read)

Jan 08, 2025 PapersN

(1 min read)

Dec 31, 2024 Areopagitica, MiltonN

(1 min read)

Dec 31, 2024 Tractate of Education, MiltonN

(1 min read)

Dec 30, 2024 Plainsong, HarufN

(1 min read)

Dec 30, 2024 At the Mountains of Madness, LovecraftN

(1 min read)

Dec 30, 2024 New Atlantis, BaconN

(1 min read)

Dec 22, 2024 Essays, BaconN

(1 min read)

Dec 22, 2024 Anatomy of the State, RothbardN

(1 min read)

Dec 22, 2024 Blood Meridian, McCarthyN

(1 min read)

Dec 22, 2024 The TorahN

(1 min read)

Dec 02, 2024 Double-ended colourful NimN

(3 min read)

Nov 25, 2024 The Golden Sayings, EpictetusN

(1 min read)

Oct 30, 2024 Algebra, ArtinN

(15 min read)

Oct 28, 2024 Abstract Algebra, JudsonN

(23 min read)

Oct 27, 2024 Colourful NimN

(1 min read)

Oct 26, 2024 Tic-Tac-ToeN

(1 min read)

Oct 26, 2024 Ski JumpsN

(1 min read)

Oct 23, 2024 NimN

(1 min read)

Oct 12, 2024 The Trial and Death of Socrates, PlatoN

(8 min read)

Oct 07, 2024 On Numbers and Games, ConwayN

(17 min read)

Oct 01, 2024 Mental CalculationN

(1 min read)

Oct 01, 2024 The Doomsday AlgorithmN

(2 min read)

Oct 01, 2024 Solving the Rubik's cubeN

(1 min read)

Sep 26, 2024 All of historyN

(5 min read)

Sep 25, 2024 Fruits of Solitude, PennN

(1 min read)

Sep 24, 2024 Map and Territory, YudkowskyN

(2 min read)

Sep 21, 2024 The Journal of John WoolmanN

(3 min read)

Sep 18, 2024 The God Delusion, DawkinsN

(1 min read)

Sep 08, 2024 The Autobiography of Benjamin FranklinN

(11 min read)

Sep 06, 2024 The Harvard ClassicsN

(17 min read)

Sep 04, 2024 There Is No Antimemetics Division, qntmN

(1 min read)

Sep 01, 2024 Norway, MarchN

(10 min read)

Aug 31, 2024 The Selfish Gene, DawkinsN

(1 min read)

Aug 15, 2024 OptionalityN

(6 min read)

Aug 08, 2024 A Mathematician's Apology, HardyN

(1 min read)

Aug 08, 2024 The Book of Numbers, ConwayN

(11 min read)

Aug 08, 2024 Mathematics for Finance, CapinskiN

(5 min read)

Jul 28, 2024 The Road to Reality, PenroseN

(1 min read)

Jul 01, 2024 Quantum Computing Since Democritus, AaronsonN

(26 min read)

May 01, 2024 One Hundred Years of Solitude, MárquezN

(1 min read)

Mar 01, 2024 The Alchemist, CoelhoN

(1 min read)

Mar 01, 2024 80,000 Hours, ToddN

(12 min read)

Feb 01, 2024 The Man Who Loved Only Numbers, HoffmanN

(2 min read)

Feb 01, 2024 Revenge, OgawaN

(2 min read)

Feb 01, 2024 Poems of the Decade 2011-2020N

(1 min read)

Feb 01, 2024 Of Mice and Men, SteinbeckN

(1 min read)

Jan 01, 2024 Gone Girl, FlynnN

(1 min read)

Dec 01, 2023 The MANIAC, LabatutN

(1 min read)

Nov 04, 2023 Amusing Ourselves to Death, PostmanN

(1 min read)

Oct 01, 2023 The Adventures of Sherlock Holmes, DoyleN

(4 min read)

Oct 01, 2023 Red Notice, BrowderN

(1 min read)

Oct 01, 2023 Jury, MacRaeN

(2 min read)

Oct 01, 2023 Flatland, AbbottN

(1 min read)

Sep 01, 2023 Zero to One, ThielN

(3 min read)

Sep 01, 2023 Tools of Titans, FerrisN

(6 min read)

Sep 01, 2023 The Mysterious Affair at Styles, ChristieN

(1 min read)

Sep 01, 2023 The Best of Roald DahlN

(4 min read)

Sep 01, 2023 Poems of the Decade 2001-2010N

(2 min read)

Sep 01, 2023 Norse Mythology, GaimanN

(14 min read)

Sep 01, 2023 Murder on the Orient Express, ChristieN

(1 min read)

Sep 01, 2023 Math Games with Bad Drawings, OrlinN

(8 min read)

Aug 03, 2023 The Moscow Puzzles, KordemskyN

(2 min read)

Aug 01, 2023 Love and Math, FrenkelN

(2 min read)

Mar 01, 2023 Mythos, FryN

(11 min read)

Feb 15, 2023 Fictions, BorgesN

(5 min read)

Feb 01, 2023 What is ChatGPT Doing?, WolframN

(3 min read)

Jan 15, 2023 The StrangerN

(1 min read)

Dec 30, 2022 The TrialN

(1 min read)

Dec 28, 2022 Capitalist RealismN

(2 min read)

Oct 20, 2022 The PrecipiceN

(1 min read)

Oct 12, 2022 How do undergraduates do mathematics?N

(4 min read)

Sep 04, 2022 HaskellN

(3 min read)

Aug 25, 2022 Mathematics for Machine LearningN

(1 min read)

Jul 28, 2022 The Elephant in the Brain, HansonN

(1 min read)

Jul 28, 2022 Harry Potter and the Prisoner of Azkaban, RowlingN

(1 min read)

Jun 15, 2022 Grelling-Nelson ParadoxN

(1 min read)

Apr 15, 2022 ChessN

(2 min read)

Apr 15, 2022 GamesN

(5 min read)

Apr 15, 2022 BackgammonN

(11 min read)

Apr 14, 2022 Conversion FactorsN

(3 min read)

Apr 10, 2022 LondonN

(1 min read)

Apr 10, 2022 OzymandiasN

(1 min read)

Mar 25, 2022 Winning Ways for your Mathematical PlaysN

(7 min read)

Mar 20, 2022 Genius At PlayN

(10 min read)

Mar 20, 2022 The Man Who Mistook His Wife for a HatN

(6 min read)

Mar 07, 2022 The Fascination of GroupsN

(37 min read)

Mar 07, 2022 APM - Q4 - Finding another general resultN

(1 min read)

Mar 04, 2022 APM - Q3 - Trig. integralsN

(1 min read)

Feb 17, 2022 Good OmensN

(1 min read)

Feb 17, 2022 Pale Blue DotN

(2 min read)

Feb 09, 2022 Half-assing it with everything you've gotN

(1 min read)

Jan 17, 2022 Harry Potter and the Chamber of SecretsN

(1 min read)

Jan 08, 2022 The Metropolitan ManN

(1 min read)

Dec 26, 2021 Atomic HabitsN

(50 min read)

Dec 16, 2021 How To LiveN

(1 min read)

Nov 30, 2021 APM QuestionsN

(1 min read)

Nov 29, 2021 MAT QuestionsN

(4 min read)

Nov 29, 2021 UKMT QuestionsN

(1 min read)

Nov 29, 2021 Misc NotesN

(2 min read)

Nov 26, 2021 The Mind's IN

(6 min read)

Nov 10, 2021 Being YouN

(9 min read)

Nov 02, 2021 MAT - Paper 2020 - Q2N

(1 min read)

Nov 02, 2021 MAT - Paper 2019 - Q3N

(1 min read)

Nov 02, 2021 MAT - Paper 2019 - Q2N

(1 min read)

Nov 02, 2021 MAT - Paper 2019 - Q1HN

(1 min read)

Nov 02, 2021 MAT - Paper 2019 - Q1FN

(2 min read)

Oct 31, 2021 MAT - Specimen Paper 1 - Q1HN

(1 min read)

Oct 28, 2021 MAT - Paper 2018 - Q6N

(3 min read)

Oct 28, 2021 MAT - Paper 2018 - Q5N

(2 min read)

Oct 28, 2021 MAT - Paper 2018 - Q3N

(1 min read)

Oct 27, 2021 MAT - Paper 2018 - Q2N

(2 min read)

Oct 27, 2021 MAT - Paper 2018 - Q1JN

(1 min read)

Oct 27, 2021 MAT - Paper 2018 - Q1HN

(2 min read)

Oct 27, 2021 MAT - Paper 2018 - Q1GN

(1 min read)

Oct 27, 2021 MAT - Paper 2018 - Q1FN

(3 min read)

Oct 27, 2021 MAT - Paper 2018 - Q1BN

(1 min read)

Oct 25, 2021 APM - Q2 - Finding a general resultN

(2 min read)

Oct 23, 2021 MAT - Paper 2017 - Q3N

(1 min read)

Oct 22, 2021 MAT - Paper 2017 - Q2N

(2 min read)

Oct 22, 2021 MAT - Paper 2017 - Q1IN

(1 min read)

Oct 22, 2021 Game Theory As A Dark ArtN

(1 min read)

Oct 19, 2021 How can we develop transformative tools for thought?N

(3 min read)

Oct 14, 2021 MAT - Paper 2007 - Q1FN

(1 min read)

Oct 14, 2021 MAT - Paper 2007 - Q1DN

(2 min read)

Oct 14, 2021 MAT - Paper 2009 - Q5N

(3 min read)

Oct 13, 2021 MAT - Paper 2016 - Q6N

(1 min read)

Oct 13, 2021 MAT - Paper 2016 - Q5N

(2 min read)

Oct 13, 2021 MAT - Paper 2016 - Q3N

(3 min read)

Oct 13, 2021 MAT - Paper 2016 - Q2N

(4 min read)

Oct 13, 2021 MAT - Paper 2016 - Q1IN

(1 min read)

Oct 13, 2021 MAT - Paper 2016 - Q1EN

(1 min read)

Oct 13, 2021 MAT - Paper 2009 - Q3N

(2 min read)

Oct 13, 2021 MAT - Paper 2008 - Q2N

(1 min read)

Oct 12, 2021 MAT - Paper 2016 - Q1HN

(2 min read)

Oct 11, 2021 HowlN

(5 min read)

Oct 10, 2021 MAT - Paper 2015 - Q2N

(2 min read)

Oct 10, 2021 MAT - Paper 2015 - Q1JN

(1 min read)

Oct 10, 2021 MAT - Paper 2015 - Q1BN

(2 min read)

Oct 10, 2021 MAT - Paper 2008 - Q1CN

(1 min read)

Oct 09, 2021 RecklessnessN

(2 min read)

Oct 09, 2021 Meditations on MolochN

(3 min read)

Oct 05, 2021 Failing with AbandonN

(1 min read)

Oct 01, 2021 IslandN

(1 min read)

Oct 01, 2021 East of EdenN

(1 min read)

Oct 01, 2021 Superintelligence, BostomN

(6 min read)

Oct 01, 2021 Have no excusesN

(4 min read)

Oct 01, 2021 The value of a lifeN

(3 min read)

Sep 18, 2021 MAT - Paper 2014 - Q5N

(1 min read)

Sep 18, 2021 MAT - Paper 2014 - Q3N

(3 min read)

Sep 18, 2021 MAT - Paper 2014 - Q1JN

(2 min read)

Sep 18, 2021 MAT - Paper 2014 - Q1EN

(2 min read)

Sep 18, 2021 MAT - Paper 2014 - Q1DN

(2 min read)

Sep 08, 2021 MAT - Paper 2013 - Q1IN

(3 min read)

Sep 08, 2021 MAT - Paper 2013 - Q1HN

(4 min read)

Sep 07, 2021 MAT - Paper 2013 - Q1GN

(2 min read)

Sep 07, 2021 MAT - Paper 2013 - Q1FN

(3 min read)

Sep 07, 2021 MAT - Paper 2013 - Q1CN

(2 min read)

Sep 02, 2021 101 Famous PoemsN

(1 min read)

Aug 30, 2021 In Flanders FieldsN

(2 min read)

Aug 16, 2021 MAT - Paper 2012 - Q5N

(3 min read)

Aug 16, 2021 Deep WorkN

(27 min read)

Aug 16, 2021 The Unfolding of LanguageN

(11 min read)

Aug 15, 2021 MAT - Paper 2012 - Q3N

(2 min read)

Aug 15, 2021 MAT - Paper 2012 - Q2N

(3 min read)

Aug 14, 2021 Decimal ExpansionsN

(5 min read)

Aug 13, 2021 The Scout MindsetN

(58 min read)

Aug 13, 2021 MAT - Paper 2012 - Q1JN

(1 min read)

Aug 13, 2021 MAT - Paper 2012 - Q1GN

(2 min read)

Aug 12, 2021 MAT - Paper 2011 - Q5N

(4 min read)

Aug 11, 2021 MAT - Paper 2011 - Q3N

(5 min read)

Aug 11, 2021 MAT - Paper 2011 - Q2N

(1 min read)

Aug 09, 2021 MAT - Paper 2011 - Q1IN

(3 min read)

Aug 09, 2021 MAT - Paper 2011 - Q1GN

(1 min read)

Aug 09, 2021 MAT - Paper 2011 - Q1EN

(2 min read)

Aug 09, 2021 MAT - Paper 2011 - Q1CN

(6 min read)

Aug 04, 2021 MAT - Paper 2010 - Q7N

(1 min read)

Aug 04, 2021 MAT - Paper 2010 - Q6N

(1 min read)

Aug 04, 2021 MAT - Paper 2010 - Q5N

(2 min read)

Aug 04, 2021 MAT - Paper 2010 - Q3N

(1 min read)

Jul 16, 2021 Problem SolvingN

(1 min read)

Jul 12, 2021 The Turing OmnibusN

(9 min read)

Jul 06, 2021 Open Loops Trigger ListN

(3 min read)

Jul 05, 2021 Body By ScienceN

(30 min read)

Jul 01, 2021 Solving Mathematical Problems: A Personal PerspectiveN

(7 min read)

Jun 29, 2021 How Your Car WorksN

(1 min read)

Jun 21, 2021 Getting Things DoneN

(19 min read)

Jun 15, 2021 Zen and the Art of Motorcycle Maintenance, PirsigN

(8 min read)

Apr 18, 2021 Algorithms to Live ByN

(5 min read)

Apr 04, 2021 AIMA: PerceptionN

(3 min read)

Apr 04, 2021 AIMA: Probabilistic ReasoningN

(6 min read)

Apr 04, 2021 AIMA: Probabilistic Reasoning Over TimeN

(2 min read)

Apr 04, 2021 AIMA: Quantifying UncertaintyN

(11 min read)

Apr 04, 2021 AIMA: Knowledge RepresentationN

(7 min read)

Apr 04, 2021 AIMA: Inference in First-Order LogicN

(1 min read)

Apr 04, 2021 AIMA: Automated PlanningN

(2 min read)

Apr 04, 2021 AIMA: Logical AgentsN

(19 min read)

Apr 04, 2021 AIMA: First-Order LogicN

(11 min read)

Apr 04, 2021 AIMA: Search in Complex EnvironmentsN

(10 min read)

Apr 04, 2021 AIMA: Constraint Satisfaction ProblemsN

(8 min read)

Apr 04, 2021 AIMA: Adversarial Search and GamesN

(5 min read)

Apr 04, 2021 AIMA: Solving Problems by SearchingN

(68 min read)

Apr 04, 2021 AIMA: Intelligent AgentsN

(32 min read)

Apr 04, 2021 AIMA: IntroductionN

(28 min read)

Mar 29, 2021 Surely You're Joking, Mr Feynman!N

(1 min read)

Mar 21, 2021 AI: A Modern ApproachN

(3 min read)

Mar 14, 2021 Replacing GuiltN

(2 min read)

Mar 11, 2021 Godel, Escher, BachN

(5 min read)

Feb 16, 2021 Thinking, Fast and Slow: ConclusionN

(4 min read)

Feb 16, 2021 Thinking, Fast and Slow: Two SelvesN

(15 min read)

Feb 16, 2021 Thinking, Fast and Slow: ChoicesN

(54 min read)

Feb 16, 2021 Thinking, Fast and Slow: OverconfidenceN

(32 min read)

Feb 16, 2021 Thinking, Fast and Slow: Heuristics and BiasesN

(42 min read)

Feb 16, 2021 Thinking, Fast and Slow: Two SystemsN

(48 min read)

Feb 16, 2021 Thinking, Fast and Slow: IntroductionN

(6 min read)

Feb 16, 2021 Thinking, Fast and SlowN

(5 min read)

Feb 10, 2021 RationalizationN

(1 min read)

Jan 17, 2021 Harry Potter and the Philosopher's StoneN

(1 min read)

Jan 08, 2021 Cat's CradleN

(1 min read)

Dec 30, 2020 The Count of Monte CristoN

(2 min read)

Dec 28, 2020 The Planning FallacyN

(3 min read)

Dec 28, 2020 Efficient Market HypothesisN

(3 min read)

Nov 29, 2020 Roko's BasiliskN

(1 min read)

Nov 13, 2020 Sum: Forty Tales from the AfterlivesN

(2 min read)

Sep 06, 2020 Article - Augmenting Long-term MemoryN

(39 min read)

Sep 06, 2020 Writing Good FlashcardsN

(4 min read)

Sep 01, 2020 Polyphasic SleepingN

(1 min read)

Aug 25, 2020 SparkN

(2 min read)

Aug 18, 2020 InvictusN

(2 min read)

Aug 11, 2020 FlowN

(4 min read)

Jul 28, 2020 Words of Radiance, SandersonN

(1 min read)

Jul 28, 2020 The Way of Kings, SandersonN

(1 min read)

Jul 28, 2020 Anne of Green Gables, MontgomeryN

(1 min read)

Jul 28, 2020 Lord of the Flies, GoldingN

(1 min read)

Jul 28, 2020 Sapiens, HarariN

(1 min read)

Jul 28, 2019 Stardust, GaimanN

(1 min read)

Jul 28, 2019 The Catcher in the Rye, SalingerN

(1 min read)

Jul 28, 2019 Catch-22, HellerN

(1 min read)

Jul 28, 2019 Frankenstein, ShelleyN

(1 min read)

Jul 28, 2019 1984, OrwellN

(1 min read)

Jul 28, 2019 Brave New WorldN

(2 min read)

Jul 28, 2019 To Kill a MockingbirdN

(1 min read)

Jul 28, 2019 The Grapes of Wrath, SteinbeckN

(1 min read)

Jul 28, 2019 The Great GatsbyN

(1 min read)

Jul 28, 2019 One Flew Over the Cuckoo’s NestN

(1 min read)

Jul 28, 2019 Slaughterhouse 5N

(1 min read)

Jul 16, 2019 Meditations, AureliusN

(1 min read)

University notes

May 18, 2026 Notes - Computer Vision MT25, Overview of results and methodsU

(62 min read)

May 18, 2026 Notes - NLA MT25, Overview of results and methodsU

(62 min read)

May 18, 2026 Notes - NLA MT25, Givens rotationsU

(4 min read)

May 12, 2026 Notes - Continuous Optimisation HT26, Inequality constrained optimisation problemsU

(76 min read)

May 12, 2026 Notes - Continuous Optimisation HT26, Constrained optimisation problemsU

(8 min read)

May 12, 2026 Notes - Continuous Optimisation HT26, Augmented Lagrangian methodsU

(31 min read)

May 06, 2026 Notes - NLA MT25, CUR approximationU

(55 min read)

May 05, 2026 Notes - NLA MT25, PseudoinversesU

(16 min read)

May 05, 2026 Notes - NLA MT25, HMT algorithmU

(32 min read)

May 05, 2026 Notes - NLA MT25, Rayleigh-Ritz algorithmU

(10 min read)

Feb 26, 2026 Notes - Continuous Optimisation HT26, Penalty methodsU

(46 min read)

Feb 26, 2026 Notes - Continuous Optimisation HT26, Constrained optimality conditions for convex problemsU

(51 min read)

Feb 26, 2026 Notes - Continuous Optimisation HT26, KKT conditionsU

(46 min read)

Feb 25, 2026 Notes - Continuous Optimisation HT26, Trust-region methodsU

(117 min read)

Feb 24, 2026 Notes - Continuous Optimisation HT26, Least-squaresU

(21 min read)

Feb 23, 2026 Notes - Continuous Optimisation HT26, Quasi-Newton methodsU

(34 min read)

Feb 19, 2026 Notes - Geometric Deep Learning HT26, SetsU

(7 min read)

Feb 19, 2026 Notes - Geometric Deep Learning HT26, GraphsU

(24 min read)

Feb 08, 2026 Notes - Geometric Deep Learning HT26, Scale separationU

(3 min read)

Feb 08, 2026 Notes - Geometric Deep Learning HT26, Invariance and equivarianceU

(10 min read)

Feb 08, 2026 Notes - Geometric Deep Learning HT26, Mathematical backgroundU

(6 min read)

Feb 07, 2026 Notes - Geometric Deep Learning HT26, Core ideaU

(7 min read)

Feb 03, 2026 Notes - Continuous Optimisation HT26, Useful miscellanyU

(25 min read)

Feb 03, 2026 Notes - Continuous Optimisation HT26, Overview of results and methodsU

(58 min read)

Feb 03, 2026 Notes - Continuous Optimisation HT26, Newton's methodU

(76 min read)

Feb 03, 2026 Notes - Continuous Optimisation HT26, Steepest descentU

(21 min read)

Jan 26, 2026 Notes - Continuous Optimisation HT26, Linesearch methodsU

(70 min read)

Jan 22, 2026 Notes - Continuous Optimisation HT26, Unconstrained optimality conditions for convex problemsU

(19 min read)

Jan 22, 2026 Notes - Continuous Optimisation HT26, Taylor's theoremU

(7 min read)

Jan 21, 2026 Notes - Continuous Optimisation HT26, Unconstrained optimality conditionsU

(34 min read)

Jan 21, 2026 Notes - Continuous Optimisation HT26, Optimisation terminologyU

(11 min read)

Jan 19, 2026 Course - Continuous Optimisation HT26U

(4 min read)

Dec 04, 2025 Notes - NLA MT25, Randomised least-squaresU

(32 min read)

Dec 04, 2025 Notes - NLA MT25, Marchenko-Pastur theoremU

(10 min read)

Dec 04, 2025 Notes - NLA MT25, Gaussian random matricesU

(9 min read)

Dec 04, 2025 Notes - NLA MT25, Lanczos algorithmU

(19 min read)

Dec 03, 2025 Notes - NLA MT25, Chebyshev polynomialsU

(10 min read)

Nov 29, 2025 Notes - NLA MT25, Conjugate gradient methodU

(104 min read)

Nov 29, 2025 Notes - NLA MT25, Lanczos decomposition and iterationU

(22 min read)

Nov 21, 2025 Notes - NLA MT25, GMRES algorithmU

(57 min read)

Nov 20, 2025 Notes - NLA MT25, Arnoldi decomposition and iterationU

(34 min read)

Nov 20, 2025 Notes - NLA MT25, Krylov subspace methodsU

(12 min read)

Nov 20, 2025 Notes - NLA MT25, QR algorithmU

(9 min read)

Nov 20, 2025 Notes - NLA MT25, Power methodU

(14 min read)

Nov 20, 2025 Notes - NLA MT25, Schur decompositionU

(31 min read)

Nov 20, 2025 Notes - NLA MT25, Eigenvalue problemsU

(11 min read)

Nov 18, 2025 Paper - Explaining and harnessing adversarial examples (2015)U

(1 min read)

Nov 18, 2025 Lecture - Theories of Deep Learning MT25, XVI, Ingredients for a successful mini-project reportU

(3 min read)

Nov 18, 2025 Lecture - Theories of Deep Learning MT25, XV, A few things we missed and a summaryU

(1 min read)

Nov 18, 2025 Lecture - Theories of Deep Learning MT25, XIV, Generative adversarial networksU

(1 min read)

Nov 18, 2025 Lecture - Theories of Deep Learning MT25, XIII, AutoencodersU

(1 min read)

Nov 18, 2025 Lecture - Theories of Deep Learning MT25, XII, The scattering transform and into auto-encodersU

(1 min read)

Nov 18, 2025 Lecture - Theories of Deep Learning MT25, XI, Visualising the filters and response in a CNNU

(2 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Neural renderingU

(29 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Multiple view geometryU

(53 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Camera modelsU

(38 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Ethics and privacyU

(28 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Vision and languageU

(27 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Unsupervised computer visionU

(41 min read)

Nov 17, 2025 Notes - Computer Vision MT25, Representation learningU

(45 min read)

Nov 15, 2025 Paper - ADADELTA, An Adaptive Learning Rate MethodU

(2 min read)

Nov 14, 2025 Lecture - Theories of Deep Learning MT25, VII, Stochastic gradient descent and its extensionsU

(1 min read)

Nov 14, 2025 Lecture - Theories of Deep Learning MT25, VI, Controlling the variance of the Jacobian's spectrumU

(1 min read)

Nov 13, 2025 Notes - Computer Vision MT25, Generative modelsU

(61 min read)

Nov 13, 2025 Notes - Computer Vision MT25, Lucas-Kanade trackingU

(31 min read)

Nov 12, 2025 Lecture - Theories of Deep Learning MT25, VIII, Optimisation algorithms for training DNNsU

(2 min read)

Nov 11, 2025 Notes - Computer Vision MT25, Visual trackingU

(18 min read)

Nov 11, 2025 Notes - Computer Vision MT25, Optical flowU

(26 min read)

Nov 11, 2025 Notes - Computer Vision MT25, VideoU

(35 min read)

Nov 11, 2025 Notes - Computer Vision MT25, Loss function designU

(13 min read)

Nov 11, 2025 Notes - Computer Vision MT25, Precision and recallU

(16 min read)

Nov 10, 2025 Notes - Computer Vision MT25, Neural networksU

(27 min read)

Nov 07, 2025 Notes - Computer Vision MT25, SegmentationU

(45 min read)

Nov 07, 2025 Notes - Computer Vision MT25, Object detectionU

(57 min read)

Nov 07, 2025 Notes - Computer Vision MT25, Interpreting vision modelsU

(29 min read)

Nov 07, 2025 Notes - Computer Vision MT25, Attention and transformersU

(38 min read)

Nov 05, 2025 Paper - Exponential expressivity in deep neural networks through transient chaos (2016)U

(3 min read)

Oct 31, 2025 Lecture - Uncertainty in Deep Learning MT25, Stochastic approximate inference in DNNsU

(6 min read)

Oct 31, 2025 Lecture - Uncertainty in Deep Learning MT25, Some very useful mathematical toolsU

(7 min read)

Oct 31, 2025 Notes - Uncertainty in Deep Learning MT25, Kullback-Leibler divergenceU

(23 min read)

Oct 31, 2025 Lecture - Uncertainty in Deep Learning MT25, Approximate inferenceU

(35 min read)

Oct 30, 2025 Lecture - Uncertainty in Deep Learning MT25, Uncertainty over functionsU

(16 min read)

Oct 30, 2025 Lecture - Uncertainty in Deep Learning MT25, Bayesian probabilistic modelling of functionsU

(27 min read)

Oct 30, 2025 Paper - Attention Is All You Need (2017)U

(4 min read)

Oct 30, 2025 Lecture - Uncertainty in Deep Learning MT25, Bayesian probabilistic modellingU

(9 min read)

Oct 30, 2025 Notes - Uncertainty in Deep Learning MT25, Bayesian probability theoryU

(2 min read)

Oct 29, 2025 Lecture - Uncertainty in Deep Learning MT25, IntroductionU

(3 min read)

Oct 29, 2025 Lecture - Theories of Deep Learning MT25, V, Controlling the exponential growth of variance and correlationU

(1 min read)

Oct 27, 2025 Notes - Computer Vision MT25, Learning curvesU

(17 min read)

Oct 27, 2025 Notes - Computer Vision MT25, DropoutU

(8 min read)

Oct 27, 2025 Notes - Computer Vision MT25, Convolutional neural networksU

(32 min read)

Oct 24, 2025 Notes - NLA MT25, Numerical stabilityU

(54 min read)

Oct 24, 2025 Notes - NLA MT25, Linear systemsU

(9 min read)

Oct 24, 2025 Notes - NLA MT25, Least-squaresU

(12 min read)

Oct 24, 2025 Notes - NLA MT25, QR factorisationU

(28 min read)

Oct 24, 2025 Notes - NLA MT25, Cholesky factorisationU

(39 min read)

Oct 24, 2025 Notes - NLA MT25, LU factorisationU

(28 min read)

Oct 22, 2025 Notes - Uncertainty in Deep Learning MT25, Statistics referenceU

(3 min read)

Oct 21, 2025 Notes - Machine Learning MT23, Multivariate GaussiansU

(3 min read)

Oct 21, 2025 Notes - Probability MT22, Markov's inequalityU

(3 min read)

Oct 21, 2025 Notes - Probability MT22, Chebyshev's inequalityU

(2 min read)

Oct 21, 2025 Notes - Probability MT22, Weak law of large numbersU

(4 min read)

Oct 21, 2025 Notes - Probability MT22, Random samplesU

(5 min read)

Oct 21, 2025 Notes - Probability MT22, Branching processesU

(6 min read)

Oct 21, 2025 Notes - Probability MT22, MomentsU

(1 min read)

Oct 21, 2025 Notes - Probability MT22, Probability generating functionsU

(8 min read)

Oct 21, 2025 Notes - Probability MT22, Recurrence relationsU

(7 min read)

Oct 21, 2025 Notes - Probability MT22, Variance and covarianceU

(6 min read)

Oct 21, 2025 Notes - Probability MT22, Bayes' theoremU

(3 min read)

Oct 21, 2025 Notes - Probability MT22, Partition theoremU

(4 min read)

Oct 21, 2025 Notes - Probability MT22, Basic definitionsU

(8 min read)

Oct 21, 2025 Notes - Uncertainty in Deep Learning MT25, Probability referenceU

(56 min read)

Oct 20, 2025 Notes - Computer Vision MT25, Image classificationU

(23 min read)

Oct 19, 2025 Paper - When and when can deep networks avoid the curse of dimensionality, Poggio (2016)U

(6 min read)

Oct 19, 2025 Paper - Optimal nonlinear approximation, DeVore (1989)U

(4 min read)

Oct 19, 2025 Notes - Theories of Deep Learning MT25, Vapnik-Chervonenkis dimensionU

(3 min read)

Oct 18, 2025 Paper - Error bounds for approximations with deep ReLU networks, Yarotsky (2016)U

(15 min read)

Oct 18, 2025 Lecture - Theories of Deep Learning MT25, IV, Data classes for which DNNs can overcome the curse of dimensionalityU

(6 min read)

Oct 18, 2025 Lecture - Theories of Deep Learning MT25, III, Exponential expressivity with depthU

(4 min read)

Oct 18, 2025 Paper - Representation Benefits of Deep Feedforward Networks, Telgarsky (2015)U

(8 min read)

Oct 18, 2025 Article - Deep, deep trouble, EladU

(2 min read)

Oct 18, 2025 Lecture - Theories of Deep Learning MT25, II, Why deep learningU

(1 min read)

Oct 18, 2025 Lecture - Theories of Deep Learning MT25, I, Three ingredients of deep learningU

(5 min read)

Oct 17, 2025 Notes - Computer Vision MT25, Scale-invariant feature transformU

(25 min read)

Oct 17, 2025 Notes - Computer Vision MT25, CorrespondencesU

(8 min read)

Oct 17, 2025 Notes - Computer Vision MT25, Image restorationU

(39 min read)

Oct 15, 2025 Notes - Computer Vision MT25, Fourier transformU

(37 min read)

Oct 15, 2025 Notes - Computer Vision MT25, ConvolutionsU

(14 min read)

Oct 15, 2025 Notes - Computer Vision MT25, FilteringU

(18 min read)

Oct 15, 2025 Notes - Computer Vision MT25, Homogenous coordinates and homographiesU

(32 min read)

Oct 15, 2025 Notes - Computer Vision MT25, Image transformationsU

(14 min read)

Oct 15, 2025 Notes - Computer Vision MT25, Subsampling and upsamplingU

(17 min read)

Oct 15, 2025 Notes - Computer Vision MT25, Sampling and reconstructionU

(12 min read)

Oct 15, 2025 Notes - Computer Vision MT25, Image representationU

(7 min read)

Oct 14, 2025 Paper - Gradient-based learning applied to document recognition, LeCunU

(1 min read)

Oct 14, 2025 Notes - NLA MT25, Eigenvalue decompositionU

(13 min read)

Oct 13, 2025 Notes - NLA MT25, Weyl's inequalityU

(12 min read)

Oct 13, 2025 Notes - NLA MT25, Courant-Fischer minmax theoremU

(35 min read)

Oct 13, 2025 Notes - NLA MT25, Singular value decompositionU

(35 min read)

Oct 13, 2025 Notes - NLA MT25, Useful miscellanyU

(15 min read)

Oct 13, 2025 Notes - NLA MT25, SubspacesU

(7 min read)

Oct 13, 2025 Notes - NLA MT25, Vector and matrix normsU

(28 min read)

Oct 13, 2025 Notes - NLA MT25, Structured matricesU

(20 min read)

Oct 10, 2025 Course - Geometric Deep Learning HT26U

(2 min read)

Oct 10, 2025 Course - Probability MT25U

(1 min read)

Oct 09, 2025 Course - Uncertainty in Deep Learning MT25U

(3 min read)

Oct 09, 2025 Course - Theories of Deep Learning MT25U

(6 min read)

Oct 09, 2025 Course - Computer Vision MT25U

(6 min read)

Oct 09, 2025 Course - Numerical Linear Algebra MT25U

(4 min read)

Oct 09, 2025 Courses HT26U

(1 min read)

Oct 09, 2025 Courses MT25U

(1 min read)

Oct 09, 2025 Part CU

(1 min read)

Jun 07, 2025 Notes - Galois Theory HT25, Flashcards for computing the Galois groupU

(29 min read)

May 25, 2025 Notes - Computational Complexity HT25, Index of reductionsU

(3 min read)

May 21, 2025 Notes - Computational Complexity HT25, DiagonalisationU

(6 min read)

May 21, 2025 Notes - Computational Complexity HT25, Padding argumentsU

(21 min read)

May 21, 2025 Notes - Computational Complexity HT25, Crossing sequencesU

(6 min read)

May 16, 2025 Notes - Galois Theory HT25, Artin's lemmaU

(7 min read)

May 12, 2025 Notes - Computational Complexity HT25, Hierarchy theoremsU

(11 min read)

May 06, 2025 Notes - Optimisation for Data Science HT25, Nesterov's accelerated gradient methodU

(32 min read)

May 04, 2025 Notes - Galois Theory HT25, Primitive element theoremU

(7 min read)

Apr 30, 2025 Notes - Computational Complexity HT25, Common proof themesU

(4 min read)

Apr 30, 2025 Notes - Computational Complexity HT25, Problem sheetsU

(3 min read)

Apr 29, 2025 Notes - Logic and Proof MT24, Ordered divisible abelian groupsU

(13 min read)

Apr 28, 2025 Notes - Computer Security MT24, FrameworksU

(21 min read)

Apr 27, 2025 Notes - Galois Theory HT25, Rational root testU

(6 min read)

Apr 15, 2025 Notes - Galois Theory HT25, Quartic equationsU

(6 min read)

Apr 15, 2025 Notes - Galois Theory HT25, Quintic equationsU

(5 min read)

Apr 14, 2025 Notes - Optimisation for Data Science HT25, Motivation and examplesU

(6 min read)

Apr 08, 2025 Notes - Rings and Modules HT24, Eisenstein's criterionU

(10 min read)

Mar 27, 2025 Notes - Galois Theory HT25, NormalityU

(14 min read)

Mar 26, 2025 Notes - Galois Theory HT25, Symmetric functionsU

(3 min read)

Mar 17, 2025 Notes - Optimisation for Data Science HT25, Steepest descent with inexact line searchU

(47 min read)

Mar 17, 2025 Notes - Optimisation for Data Science HT25, Overview of resultsU

(19 min read)

Mar 13, 2025 Notes - Computational Complexity HT25, ApproximationU

(22 min read)

Mar 08, 2025 Notes - Set Theory HT25, Vector spacesU

(8 min read)

Mar 08, 2025 Notes - Set Theory HT25, Zorn's lemmaU

(14 min read)

Mar 08, 2025 Notes - Set Theory HT25, ChoiceU

(18 min read)

Mar 08, 2025 Notes - Set Theory HT25, FoundationU

(7 min read)

Mar 04, 2025 Notes - Set Theory HT25, ReplacementU

(20 min read)

Mar 03, 2025 Notes - Logic and Proof MT24, All the algorithmsU

(5 min read)

Mar 03, 2025 Notes - Computational Complexity HT25, RandomnessU

(53 min read)

Feb 27, 2025 Notes - Optimisation for Data Science HT25, Coordinate descentU

(135 min read)

Feb 25, 2025 Notes - Computational Complexity HT25, CircuitsU

(54 min read)

Feb 20, 2025 Notes - Set Theory HT25, OrdinalsU

(74 min read)

Feb 20, 2025 Notes - Set Theory HT25, Well-ordered setsU

(18 min read)

Feb 19, 2025 Notes - Set Theory HT25, CardinalitiesU

(107 min read)

Feb 19, 2025 Notes - Set Theory HT25, ClassesU

(5 min read)

Feb 18, 2025 Notes - Optimisation for Data Science HT25, Stochastic variance reduction methodsU

(13 min read)

Feb 17, 2025 Notes - Optimisation for Data Science HT25, Stochastic gradient descentU

(61 min read)

Feb 17, 2025 Notes - Optimisation for Data Science HT25, MiscU

(22 min read)

Feb 17, 2025 Notes - Optimisation for Data Science HT25, SubgradientsU

(9 min read)

Feb 17, 2025 Notes - Optimisation for Data Science HT25, ConvexityU

(31 min read)

Feb 17, 2025 Notes - Optimisation for Data Science HT25, Accelerated methodsU

(7 min read)

Feb 13, 2025 Notes - Computational Complexity HT25, Sublinear space classesU

(21 min read)

Feb 13, 2025 Notes - Computational Complexity HT25, Savitch's theoremU

(10 min read)

Feb 13, 2025 Notes - Computational Complexity HT25, Cook-Levin theoremU

(26 min read)

Feb 13, 2025 Notes - Computational Complexity HT25, PSPACE completenessU

(17 min read)

Feb 13, 2025 Notes - Computational Complexity HT25, Alternations and polynomial hierarchyU

(23 min read)

Feb 06, 2025 Notes - Set Theory HT25, FunctionsU

(5 min read)

Feb 04, 2025 Notes - Set Theory HT25, Natural numbersU

(31 min read)

Feb 03, 2025 Notes - Set Theory HT25, Products and relationsU

(8 min read)

Jan 31, 2025 Notes - Computational Complexity HT25, Non-deterministic Turing machinesU

(36 min read)

Jan 28, 2025 Notes - Optimisation for Data Science HT25, Proximal methodsU

(82 min read)

Jan 27, 2025 Notes - Optimisation for Data Science HT25, Steepest descentU

(30 min read)

Jan 26, 2025 Notes - Computational Complexity HT25, Time and spaceU

(19 min read)

Jan 26, 2025 Notes - Computational Complexity HT25, Mapping reductionsU

(5 min read)

Jan 26, 2025 Notes - Computational Complexity HT25, Turing reductionsU

(9 min read)

Jan 23, 2025 Notes - Computational Complexity HT25, Basic definitionsU

(4 min read)

Jan 21, 2025 Notes - Optimisation for Data Science HT25, TerminologyU

(11 min read)

Jan 20, 2025 Notes - Set Theory HT25, Basic axiomsU

(11 min read)

Jan 20, 2025 Course - Optimisation for Data Science HT25U

(3 min read)

Jan 20, 2025 Course - Set Theory HT25U

(2 min read)

Jan 15, 2025 Course - Computational Complexity HT25U

(5 min read)

Jan 13, 2025 Notes - Computer Security MT24, Elliptic curve cryptographyU

(3 min read)

Jan 10, 2025 Notes - Computer Security MT24, LM hashU

(9 min read)

Jan 10, 2025 Notes - Computer Security MT24, RC4U

(7 min read)

Jan 10, 2025 Notes - Computer Security MT24, Stream ciphersU

(4 min read)

Jan 10, 2025 Notes - Computer Security MT24, Block modesU

(15 min read)

Jan 10, 2025 Notes - Computer Security MT24, AES cryptosystemU

(2 min read)

Jan 09, 2025 Notes - Artificial Intelligence MT24, Imperfect information gamesU

(4 min read)

Jan 09, 2025 Notes - Logic MT24, Example proofs in first-order logicU

(9 min read)

Jan 08, 2025 Notes - Artificial Intelligence MT24, All the algorithmsU

(7 min read)

Jan 07, 2025 Notes - Computer Security MT24, Access control in UNIXU

(4 min read)

Jan 05, 2025 Notes - Logic and Proof MT24, Vaught's testU

(4 min read)

Jan 05, 2025 Notes - Logic MT24, Unbounded dense linear ordersU

(11 min read)

Jan 05, 2025 Notes - Logic and Proof MT24, Quantifier eliminationU

(16 min read)

Jan 05, 2025 Notes - Logic and Proof MT24, Lower bounds for deciding real arithmeticU

(10 min read)

Jan 02, 2025 Notes - Computer Security MT24, Clark-Wilson modelU

(7 min read)

Jan 02, 2025 Notes - Logic and Proof MT24, Lower bounds for resolutionU

(26 min read)

Jan 02, 2025 Notes - Logic and Proof MT24, InterpolantsU

(38 min read)

Jan 01, 2025 Notes - Logic MT24, Gödel's completeness theoremU

(62 min read)

Jan 01, 2025 Notes - Logic MT24, Löwenheim-Skolem theoremU

(3 min read)

Jan 01, 2025 Notes - Logic MT24, Compactness theoremsU

(13 min read)

Jan 01, 2025 Notes - Logic MT24, Example proofs in propositional logicU

(12 min read)

Nov 26, 2024 Notes - Logic and Proof MT24, Unification and resolutionU

(54 min read)

Nov 26, 2024 Notes - Logic and Proof MT24, Decidability results for first-order logicU

(9 min read)

Nov 26, 2024 Notes - Logic and Proof MT24, Ground resolutionU

(7 min read)

Nov 26, 2024 Notes - Logic and Proof MT24, Herbrand's theoremU

(24 min read)

Nov 26, 2024 Notes - Logic and Proof MT24, SkolemizationU

(9 min read)

Nov 22, 2024 Notes - Logic MT24, Isomorphisms of structuresU

(13 min read)

Nov 22, 2024 Notes - Logic MT24, AxiomatisationsU

(3 min read)

Nov 21, 2024 Notes - Logic MT24, Proofs in first-order logicU

(33 min read)

Nov 19, 2024 Notes - Galois Theory HT25, Cyclotomic extensionsU

(45 min read)

Nov 18, 2024 Notes - Galois Theory HT25, Finite fieldsU

(42 min read)

Nov 18, 2024 Notes - Galois Theory HT25, Kummer extensionsU

(13 min read)

Nov 18, 2024 Notes - Computer Security MT24, SSL and TLSU

(13 min read)

Nov 17, 2024 Notes - Computer Security MT24, Key distributionU

(21 min read)

Nov 17, 2024 Notes - Computer Security MT24, Needham-Schroeder protocolU

(7 min read)

Nov 17, 2024 Notes - Computer Security MT24, ProtocolsU

(30 min read)

Nov 13, 2024 Notes - Logic and Proof MT24, Ehrenfeucht-Fraïssé gamesU

(41 min read)

Nov 13, 2024 Notes - Logic and Proof MT24, Algebraically closed fieldsU

(28 min read)

Nov 11, 2024 Notes - Artificial Intelligence MT24, Online searchU

(17 min read)

Nov 11, 2024 Notes - Artificial Intelligence MT24, Partially observable environmentsU

(28 min read)

Nov 11, 2024 Notes - Artificial Intelligence MT24, Nondeterministic searchU

(11 min read)

Nov 11, 2024 Notes - Artificial Intelligence MT24, Playing gamesU

(29 min read)

Nov 10, 2024 Notes - Galois Theory HT25, Cubic equationsU

(22 min read)

Nov 10, 2024 Notes - Galois Theory HT25, GroupsU

(21 min read)

Nov 10, 2024 Notes - Galois Theory HT25, Determinant and discriminantU

(18 min read)

Nov 09, 2024 Notes - Galois Theory HT25, Solvable groupsU

(18 min read)

Nov 09, 2024 Notes - Galois Theory HT25, Solvability by radicalsU

(43 min read)

Nov 05, 2024 Notes - Artificial Intelligence MT24, Constraint satisfaction problemsU

(78 min read)

Nov 05, 2024 Notes - Artificial Intelligence MT24, RobotsU

(19 min read)

Nov 04, 2024 Notes - Logic MT24, First-order logicU

(69 min read)

Nov 04, 2024 Notes - Computer Security MT24, Digital signaturesU

(13 min read)

Nov 03, 2024 Notes - Computer Security MT24, MACsU

(20 min read)

Nov 03, 2024 Notes - Computer Security MT24, Dolev-Yao modelU

(3 min read)

Nov 03, 2024 Notes - Computer Security MT24, Diffie-Hellman key exchangeU

(8 min read)

Nov 03, 2024 Notes - Computer Security MT24, Rabin cryptosystemU

(4 min read)

Nov 03, 2024 Notes - Computer Security MT24, RSAU

(50 min read)

Nov 03, 2024 Notes - Computer Security MT24, Number theoryU

(7 min read)

Nov 03, 2024 Notes - Computer Secuirty MT24, Asymmetric key ciphersU

(3 min read)

Nov 01, 2024 Notes - Logic and Proof MT24, Unbounded dense linear ordersU

(14 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, Regular languagesU

(2 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, Presburger arithmeticU

(22 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, Rado graphU

(22 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, Decidable theoriesU

(2 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, Logical theoriesU

(4 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, First-order logicU

(43 min read)

Oct 31, 2024 Notes - Logic and Proof MT24, Compactness theoremU

(30 min read)

Oct 30, 2024 Notes - Galois Theory HT25, Computing the Galois groupU

(35 min read)

Oct 29, 2024 Notes - Galois Theory HT25, Main theorems of Galois theoryU

(39 min read)

Oct 28, 2024 Notes - Galois Theory HT25, SeparabilityU

(29 min read)

Oct 28, 2024 Notes - Galois Theory HT25, Galois extensionsU

(64 min read)

Oct 28, 2024 Notes - Galois Theory HT25, Bounds on the size of the Galois groupU

(55 min read)

Oct 27, 2024 Notes - Artificial Intelligence MT24, Planning with propositional logicU

(19 min read)

Oct 27, 2024 Notes - Artificial Intelligence MT24, Partial order planningU

(9 min read)

Oct 27, 2024 Notes - Artificial Intelligence MT24, PlanningU

(22 min read)

Oct 27, 2024 Notes - Artificial Intelligence MT24, Local searchU

(12 min read)

Oct 24, 2024 Notes - Logic MT24, Proofs in propositional logicU

(51 min read)

Oct 24, 2024 Notes - Logic and Proof MT24, Cutting planesU

(29 min read)

Oct 23, 2024 Notes - Computer Security MT24, Key generationU

(4 min read)

Oct 22, 2024 Notes - Computer Security MT24, Cryptographic hashesU

(64 min read)

Oct 21, 2024 Notes - Artificial Intelligence MT24, Informed search strategiesU

(37 min read)

Oct 21, 2024 Notes - Artificial Intelligence MT24, Uninformed search strategiesU

(13 min read)

Oct 21, 2024 Notes - Artificial Intelligence MT24, Problem solving and searchU

(12 min read)

Oct 20, 2024 Notes - Computer Security MT24, DESU

(5 min read)

Oct 20, 2024 Notes - Computer Security MT24, Feistel structuresU

(8 min read)

Oct 20, 2024 Notes - Computer Security MT24, Cryptographic attack modelsU

(8 min read)

Oct 20, 2024 Notes - Computer Security MT24, Symmetric key ciphersU

(39 min read)

Oct 20, 2024 Notes - Computer Security MT24, AttacksU

(13 min read)

Oct 20, 2024 Notes - Computer Security MT24, Reference monitorsU

(8 min read)

Oct 19, 2024 Notes - Computer Security MT24, Bell-LaPadula modelU

(28 min read)

Oct 19, 2024 Notes - Computer Security MT24, Access controlU

(17 min read)

Oct 19, 2024 Notes - Computer Security MT24, Basic definitionsU

(10 min read)

Oct 17, 2024 Notes - Galois Theory HT25, Group actionsU

(1 min read)

Oct 17, 2024 Notes - Galois Theory HT25, Basic definitionsU

(24 min read)

Oct 16, 2024 Notes - Logic MT24, Basic definitions for propositional logicU

(33 min read)

Oct 15, 2024 Notes - Logic and Proof MT24, Boolean circuitsU

(3 min read)

Oct 15, 2024 Notes - Logic and Proof MT24, ResolutionU

(23 min read)

Oct 14, 2024 Notes - Logic and Proof MT24, XOR-ClausesU

(1 min read)

Oct 14, 2024 Notes - Logic and Proof MT24, 3-CNF formulasU

(6 min read)

Oct 14, 2024 Notes - Logic and Proof MT24, Walk-SATU

(13 min read)

Oct 14, 2024 Notes - Logic and Proof MT24, 2-CNF formulasU

(13 min read)

Oct 14, 2024 Notes - Logic and Proof MT24, Horn formulasU

(11 min read)

Oct 14, 2024 Notes - Logic and Proof MT24, Basic definitions for propositional logicU

(26 min read)

Oct 11, 2024 Course - Galois Theory HT25U

(5 min read)

Oct 11, 2024 Course - Logic and Proof MT24U

(5 min read)

Oct 11, 2024 Courses HT25U

(1 min read)

Oct 11, 2024 Course - Computer Security MT24U

(4 min read)

Oct 11, 2024 Course - Artificial Intelligence MT24U

(4 min read)

Oct 11, 2024 Course - Logic MT24U

(2 min read)

Oct 11, 2024 Part BU

(1 min read)

Oct 11, 2024 Courses MT24U

(1 min read)

Jul 28, 2024 University NotesU

(6 min read)

Jul 07, 2024 Notes - Linear Algebra MT22, MiscU

(8 min read)

Jul 07, 2024 Notes - Functional Programming MT22, MiscU

(26 min read)

Jul 07, 2024 Notes - Analysis I MT22, MiscU

(7 min read)

Jul 07, 2024 Course - Ethics and Responsible Innovation MT22U

(2 min read)

Jul 07, 2024 Notes - Linear Algebra II HT23, MiscU

(3 min read)

Jul 07, 2024 Notes - Analysis II HT23, MiscU

(2 min read)

Jul 07, 2024 Notes - Imperative Programming HT23, MiscU

(3 min read)

Jul 07, 2024 Notes - Continuous Mathematics HT23, MiscU

(4 min read)

Jul 07, 2024 Notes - Imperative Programming TT23, MiscU

(4 min read)

Jun 23, 2024 PrelimsU

(2 min read)

Jun 23, 2024 Part AU

(1 min read)

Jun 18, 2024 Notes - Numerical Analysis HT24, One-step methodsU

(38 min read)

Jun 18, 2024 Notes - Rings and Modules HT24, Isomorphism theoremsU

(11 min read)

Jun 17, 2024 Notes - Numerical Analysis HT24, Power methodU

(17 min read)

Jun 17, 2024 Notes - Numerical Analysis HT24, Hermite interpolationU

(7 min read)

Jun 17, 2024 Notes - Numerical Analysis HT24, MiscU

(5 min read)

Jun 17, 2024 Notes - Rings and Modules HT24, DivisibilityU

(7 min read)

Jun 17, 2024 Notes - Rings and Modules HT24, IDs, PIDs and EDs hierarchyU

(5 min read)

Jun 16, 2024 Notes - Numerical Analysis HT24, Givens rotationsU

(5 min read)

Jun 16, 2024 Notes - Numerical Analysis HT24, QR algorithmU

(26 min read)

Jun 14, 2024 Notes - Numerical Analysis HT24, Schur decompositionU

(4 min read)

Jun 06, 2024 Notes - Quantum Information HT24, Rules of quantum theoryU

(6 min read)

May 12, 2024 Notes - Machine Learning MT23, ParadigmsU

(4 min read)

May 07, 2024 Notes - Linear Algebra MT23, MiscU

(2 min read)

May 06, 2024 Notes - Rings and Modules HT24, Principal ideal domainsU

(9 min read)

May 04, 2024 Notes - Machine Learning MT23, k-nearest neighboursU

(2 min read)

May 03, 2024 Notes - ADS HT24, Randomised roundingU

(37 min read)

May 01, 2024 Notes - Machine Learning MT23, Multidimensional scalingU

(8 min read)

May 01, 2024 Notes - Machine Learning MT23, k-means clusteringU

(7 min read)

May 01, 2024 Notes - Machine Learning MT23, Spectral clusteringU

(13 min read)

Apr 29, 2024 Notes - Quantum Information HT24, Quantum communicationU

(5 min read)

Apr 28, 2024 Notes - Complex Analysis MT23, Integral examplesU

(34 min read)

Apr 28, 2024 Notes - Complex Analysis MT23, Jordan's lemmaU

(9 min read)

Apr 23, 2024 Notes - Complex Analysis MT23, Riemann's removeable singularity theoremU

(5 min read)

Apr 23, 2024 Notes - Complex Analysis MT23, Liouville's theoremU

(5 min read)

Apr 18, 2024 Notes - Rings and Modules HT24, Chinese remainder theoremU

(9 min read)

Apr 16, 2024 Notes - Numerical Analysis HT24, Tridiagonal matricesU

(8 min read)

Apr 16, 2024 Notes - Numerical Analysis HT24, Householder reflectorsU

(17 min read)

Apr 13, 2024 Notes - Rings and Modules HT24, Polynomial ringsU

(12 min read)

Apr 06, 2024 Notes - Quantum Information HT24, MiscU

(2 min read)

Mar 29, 2024 Notes - Quantum Information HT24, Bell basisU

(4 min read)

Mar 22, 2024 Notes - Complex Analysis MT23, Casorati-Weierstrass theoremU

(4 min read)

Mar 18, 2024 Notes - Machine Learning MT23, Cross-entropy lossU

(3 min read)

Mar 16, 2024 Notes - Rings and Modules HT24, Correspondence theoremsU

(9 min read)

Mar 16, 2024 Notes - Linear Algebra MT23, Triangular form theoremU

(17 min read)

Mar 13, 2024 Notes - Complex Analysis MT23, Rouché's theoremU

(8 min read)

Mar 12, 2024 Notes - Complex Analysis MT23, Morera's theoremU

(4 min read)

Mar 11, 2024 Notes - Numerical Analysis HT24, Gerschgorin's theoremsU

(20 min read)

Feb 29, 2024 Notes - Quantum Information HT24, Quantum teleportationU

(11 min read)

Feb 29, 2024 Notes - Quantum Information HT24, No-cloning theoremU

(17 min read)

Feb 28, 2024 Notes - ADS HT24, Colour codingU

(9 min read)

Feb 28, 2024 Notes - ADS HT24, KernelisationU

(34 min read)

Feb 28, 2024 Notes - ADS HT24, Parameterised complexityU

(12 min read)

Feb 26, 2024 Notes - Rings and Moudles HT24, Rational and Jordan canonical formsU

(29 min read)

Feb 26, 2024 Notes - Rings and Modules HT24, Structure theoremsU

(30 min read)

Feb 26, 2024 Notes - Rings and Modules HT24, PresentationsU

(13 min read)

Feb 25, 2024 Notes - Rings and Modules HT24, Smith normal formU

(9 min read)

Feb 24, 2024 Notes - Numerical Analysis HT24, Multi-step methodsU

(37 min read)

Feb 24, 2024 Notes - Numerical Analysis HT24, Runge-Kutta methodsU

(40 min read)

Feb 23, 2024 Notes - Numerical Analysis HT24, Initial value problemsU

(20 min read)

Feb 23, 2024 Notes - Rings and Modules HT24, Matrices over a ringU

(7 min read)

Feb 21, 2024 Notes - Quantum Information HT24, Density matricesU

(30 min read)

Feb 20, 2024 Notes - Quantum Information HT24, Shor's algorithmU

(25 min read)

Feb 20, 2024 Notes - Quantum Information HT24, Grover's algorithmU

(14 min read)

Feb 19, 2024 Notes - Rings and Modules HT24, Free modulesU

(21 min read)

Feb 19, 2024 Notes - Rings and Modules HT24, TorsionU

(8 min read)

Feb 19, 2024 Notes - Rings and Modules HT24, ModulesU

(24 min read)

Feb 17, 2024 Notes - ADS HT24, Approximation algorithmsU

(31 min read)

Feb 15, 2024 Notes - ADS HT24, NP-hardness and NP-completenessU

(46 min read)

Feb 15, 2024 Notes - ADS HT24, Zero-sum gamesU

(29 min read)

Feb 14, 2024 Notes - Rings and Modules HT24, Factorisation in polynomial ringsU

(24 min read)

Feb 13, 2024 Notes - Quantum Information HT24, Quantum gatesU

(24 min read)

Feb 13, 2024 Notes - Quantum Information HT24, The Deutsch-Joza gameU

(6 min read)

Feb 13, 2024 Notes - Quantum Information HT24, Query complexityU

(10 min read)

Feb 13, 2024 Notes - Quantum Information HT24, Quantum circuit modelU

(38 min read)

Feb 11, 2024 Notes - Numerical Analysis HT24, QuadratureU

(31 min read)

Feb 10, 2024 Notes - Numerical Analysis HT24, Orthogonal polynomialsU

(25 min read)

Feb 10, 2024 Notes - Numerical Analysis HT24, Best approximation in inner product spacesU

(20 min read)

Feb 08, 2024 Notes - ADS HT24, Linear programmingU

(69 min read)

Feb 06, 2024 Notes - Quantum Information HT24, The GHZ gameU

(14 min read)

Feb 06, 2024 Notes - Quantum Information HT24, CHSH gameU

(23 min read)

Feb 03, 2024 Notes - ADS HT24, CirculationsU

(18 min read)

Feb 03, 2024 Notes - ADS HT24, MatchingU

(53 min read)

Feb 01, 2024 Notes - Rings and Modules HT24, Unique factorisationU

(17 min read)

Feb 01, 2024 Notes - Rings and Modules HT24, FieldsU

(37 min read)

Jan 31, 2024 Notes - Complex Analysis MT23, MiscU

(11 min read)

Jan 31, 2024 Notes - Rings and Modules HT24, Euclidean domainsU

(12 min read)

Jan 31, 2024 Notes - Rings and Modules HT24, Prime and maximal idealsU

(19 min read)

Jan 25, 2024 Notes - Numerical Analysis HT24, EigenvaluesU

(8 min read)

Jan 25, 2024 Notes - Numerical Analysis HT24, Singular value decompositionU

(39 min read)

Jan 25, 2024 Notes - Numerical Analysis HT24, Least-squaresU

(10 min read)

Jan 24, 2024 Notes - ADS HT24, Flow networksU

(62 min read)

Jan 23, 2024 Notes - ADS HT24, Splay treesU

(34 min read)

Jan 23, 2024 Notes - ADS HT24, Red-black treesU

(24 min read)

Jan 22, 2024 Notes - ADS HT24, Binary search treesU

(9 min read)

Jan 22, 2024 Notes - Numerical Analysis HT24, QR decompositionU

(26 min read)

Jan 22, 2024 Notes - Numerical Analysis HT24, LU decompositionU

(20 min read)

Jan 22, 2024 Notes - Numerical Analysis HT24, Lagrange interpolationU

(10 min read)

Jan 19, 2024 Notes - ADS HT24, Disjoint setsU

(26 min read)

Jan 19, 2024 Notes - ADS HT24, Amortized analysisU

(36 min read)

Jan 18, 2024 Notes - Rings and Modules HT24, QuotientsU

(9 min read)

Jan 18, 2024 Notes - Rings and Modules HT24, IdealsU

(13 min read)

Jan 18, 2024 Notes - Rings and Modules HT24, Integral domainsU

(5 min read)

Jan 18, 2024 Notes - Rings and Modules HT24, Basic definitionsU

(13 min read)

Jan 16, 2024 Notes - Quantum Information HT24, Dense coding protocolU

(5 min read)

Jan 16, 2024 Notes - Quantum Information HT24, No-signalling theoremU

(7 min read)

Jan 16, 2024 Notes - Quantum Information HT24, Quantum steeringU

(21 min read)

Jan 16, 2024 Notes - Quantum Information HT24, Tensor productsU

(7 min read)

Jan 16, 2024 Notes - Quantum Information HT24, Composite systemsU

(26 min read)

Jan 15, 2024 Notes - Quantum Information HT24, Bloch sphereU

(26 min read)

Jan 15, 2024 Notes - Quantum Information HT24, Reversible processesU

(10 min read)

Jan 15, 2024 Notes - Quantum Information HT24, Basic measurementsU

(11 min read)

Jan 15, 2024 Notes - Quantum Information HT24, QubitsU

(4 min read)

Jan 15, 2024 Notes - Quantum Information HT24, Bra-ket notationU

(10 min read)

Jan 11, 2024 Course - Algorithms and Data Structures HT24U

(3 min read)

Jan 11, 2024 Course - Quantum Information HT24U

(4 min read)

Jan 11, 2024 Course - Numerical Analysis HT24U

(4 min read)

Jan 11, 2024 Course - Rings and Modules HT24U

(3 min read)

Jan 02, 2024 Notes - Machine Learning MT23, ClusteringU

(5 min read)

Jan 02, 2024 Notes - Machine Learning MT23, Singular value decompositionU

(16 min read)

Jan 02, 2024 Notes - Machine Learning MT23, Principal component analysisU

(27 min read)

Dec 21, 2023 Notes - Machine Learning MT23, Recurrent neural networksU

(36 min read)

Dec 21, 2023 Notes - Machine Learning MT23, Convolutional neural networksU

(16 min read)

Dec 21, 2023 Lecture - Machine Learning MT23, XVIIIU

(1 min read)

Dec 21, 2023 Lecture - Machine Learning MT23, XVIIU

(1 min read)

Dec 21, 2023 Lecture - Machine Learning MT23, XVIU

(1 min read)

Dec 21, 2023 Lecture - Machine Learning MT23, XVU

(1 min read)

Dec 21, 2023 Notes - Machine Learning MT23, Neural networksU

(33 min read)

Dec 20, 2023 Lecture - Models of Computation MT23, XVIU

(1 min read)

Dec 20, 2023 Lecture - Models of Computation MT23, XVU

(1 min read)

Dec 20, 2023 Lecture - Models of Computation MT23, XIVU

(1 min read)

Dec 20, 2023 Lecture - Models of Computation MT23, XIIIU

(1 min read)

Dec 20, 2023 Lecture - Models of Computation MT23, XIIU

(1 min read)

Dec 20, 2023 Lecture - Models of Computation MT23, XIU

(1 min read)

Dec 20, 2023 Notes - Models of Computation MT23, ComplexityU

(23 min read)

Dec 20, 2023 Notes - Models of Computation MT23, Post correspondence problemU

(7 min read)

Dec 20, 2023 Notes - Models of Computation MT23, Rice's theoremU

(10 min read)

Dec 19, 2023 Notes - Models of Computation MT23, DecideabilityU

(22 min read)

Dec 19, 2023 Lecture - Linear Algebra MT23, XVIU

(1 min read)

Dec 19, 2023 Lecture - Linear Algebra MT23, XVU

(1 min read)

Dec 17, 2023 Notes - Complex Analysis MT23, Dirichlet problemU

(5 min read)

Dec 17, 2023 Notes - Complex Analysis MT23, Conformal mapsU

(15 min read)

Dec 15, 2023 Notes - Complex Analysis MT23, Residue theoremU

(13 min read)

Dec 14, 2023 Notes - Complex Analysis MT23, Open mapping theoremU

(12 min read)

Dec 14, 2023 Notes - Complex Analysis MT23, Argument principleU

(10 min read)

Dec 14, 2023 Lecture - Machine Learning MT23, XXU

(1 min read)

Dec 14, 2023 Lecture - Machine Learning MT23, XIXU

(1 min read)

Nov 24, 2023 Notes - Linear Algebra MT23, Orthogonal and unitary transformationsU

(51 min read)

Nov 23, 2023 Notes - Linear Algebra MT23, AdjointsU

(39 min read)

Nov 23, 2023 Lecture - Linear Algebra MT23, XIVU

(1 min read)

Nov 23, 2023 Notes - Linear Algebra MT23, AnnihilatorsU

(29 min read)

Nov 23, 2023 Notes - Linear Algebra MT23, Orthogonal complementsU

(19 min read)

Nov 23, 2023 Notes - Linear Algebra MT23, Orthogonal setsU

(6 min read)

Nov 23, 2023 Notes - Linear Algebra MT23, Inner product spacesU

(10 min read)

Nov 23, 2023 Lecture - Linear Algebra MT23, XIIIU

(1 min read)

Nov 23, 2023 Lecture - Linear Algebra MT23, XIIU

(1 min read)

Nov 19, 2023 Notes - Complex Analysis MT23, Laurent seriesU

(17 min read)

Nov 19, 2023 Notes - Complex Analysis MT23, HomotopiesU

(5 min read)

Nov 19, 2023 Notes - Complex Analysis MT23, Identity theoremU

(9 min read)

Nov 19, 2023 Notes - Complex Analysis MT23, Zeroes, singularities and polesU

(29 min read)

Nov 15, 2023 Notes - Machine Learning MT23, ClassificationU

(16 min read)

Nov 15, 2023 Notes - Machine Learning MT23, KernelsU

(8 min read)

Nov 15, 2023 Notes - Machine Learning MT23, OptimisationU

(12 min read)

Nov 15, 2023 Notes - Machine Learning MT23, Support vector machinesU

(52 min read)

Nov 15, 2023 Lecture - Machine Learning MT23, XIVU

(1 min read)

Nov 13, 2023 Lecture - Linear Algebra MT23, XIU

(1 min read)

Nov 12, 2023 Notes - Machine Learning MT23, Logistic regressionU

(15 min read)

Nov 10, 2023 Notes - Machine Learning MT23, Gaussian discriminant analysisU

(23 min read)

Nov 10, 2023 Notes - Linear Algebra MT23, Dual spacesU

(19 min read)

Nov 10, 2023 Lecture - Linear Algebra MT23, XU

(1 min read)

Nov 10, 2023 Lecture - Linear Algebra MT23, IXU

(1 min read)

Nov 10, 2023 Notes - Models of Computation MT23, Turing machinesU

(17 min read)

Nov 10, 2023 Lecture - Machine Learning MT23, XIIIU

(1 min read)

Nov 10, 2023 Lecture - Machine Learning MT23, XIIU

(1 min read)

Nov 10, 2023 Lecture - Machine Learning MT23, XIU

(1 min read)

Nov 10, 2023 Lecture - Models of Computation MT23, XU

(1 min read)

Nov 10, 2023 Lecture - Models of Computation MT23, IXU

(1 min read)

Nov 10, 2023 Lecture - Complex Analysis MT23, VU

(1 min read)

Nov 07, 2023 Notes - Complex Analysis MT23, Cauchy's integral formulaU

(19 min read)

Nov 07, 2023 Notes - Complex Analysis MT23, Cauchy's theoremU

(25 min read)

Nov 07, 2023 Notes - Complex Analysis MT23, Analytic functionsU

(2 min read)

Nov 07, 2023 Notes - Complex Analysis MT23, Winding numbersU

(20 min read)

Nov 04, 2023 Notes - Machine Learning MT23, Naïve Bayes classifiersU

(13 min read)

Nov 02, 2023 Notes - Machine Learning MT23, Generative modelsU

(11 min read)

Nov 02, 2023 Lecture - Machine Learning MT23, XU

(1 min read)

Nov 02, 2023 Notes - Complex Analysis MT23, Multifunctions and branch cutsU

(9 min read)

Nov 02, 2023 Lecture - Complex Analysis MT23, IVU

(1 min read)

Nov 02, 2023 Notes - Linear Algebra MT23, Jordan normal formU

(19 min read)

Nov 02, 2023 Lecture - Linear Algebra MT23, VIIIU

(1 min read)

Nov 01, 2023 Notes - Models of Computation MT23, Non-deterministic pushdown automataU

(25 min read)

Nov 01, 2023 Lecture - Models of Computation MT23, VIIIU

(1 min read)

Oct 31, 2023 Lecture - Complex Analysis MT23, IIIU

(1 min read)

Oct 31, 2023 Lecture - Complex Analysis MT23, IIU

(1 min read)

Oct 31, 2023 Notes - Linear Algebra MT23, Primary decomposition theoremU

(21 min read)

Oct 31, 2023 Lecture - Linear Algebra MT23, VIIU

(1 min read)

Oct 31, 2023 Notes - Models of Computation MT23, Context-free grammarsU

(37 min read)

Oct 31, 2023 Lecture - Models of Computation MT23, VIIU

(1 min read)

Oct 29, 2023 Notes - Machine Learning MT23, Gradient descentU

(6 min read)

Oct 29, 2023 Lecture - Machine Learning MT23, IXU

(1 min read)

Oct 27, 2023 Notes - Machine Learning MT23, Convex optimisationU

(7 min read)

Oct 27, 2023 Lecture - Machine Learning MT23, VIIIU

(1 min read)

Oct 26, 2023 Notes - Machine Learning MT23, Bayesian machine learningU

(34 min read)

Oct 26, 2023 Lecture - Machine Learning MT23, VIIU

(1 min read)

Oct 26, 2023 Lecture - Complex Analysis MT23, IU

(1 min read)

Oct 26, 2023 Lecture - Metric Spaces MT23, XIIU

(1 min read)

Oct 26, 2023 Notes - Linear Algebra MT23, Cayley-Hamilton theoremU

(9 min read)

Oct 26, 2023 Notes - Linear Algebra MT23, Invariant subspacesU

(4 min read)

Oct 26, 2023 Lecture - Linear Algebra MT23, VIU

(1 min read)

Oct 25, 2023 Lecture - Metric Spaces MT23, XIU

(1 min read)

Oct 25, 2023 Notes - Models of Computation MT23, Myhill-Nerode theoremU

(10 min read)

Oct 25, 2023 Lecture - Models of Computation MT23, VIU

(1 min read)

Oct 24, 2023 Lecture - Linear Algebra MT23, VU

(1 min read)

Oct 24, 2023 Lecture - Metric Spaces MT23, XU

(1 min read)

Oct 24, 2023 Notes - Machine Learning MT23, Model selectionU

(13 min read)

Oct 23, 2023 Lecture - Machine Learning MT23, VIU

(1 min read)

Oct 23, 2023 Notes - Machine Learning MT23, Learning curvesU

(2 min read)

Oct 23, 2023 Notes - Machine Learning MT23, Overfitting and underfittingU

(12 min read)

Oct 23, 2023 Lecture - Metric Spaces MT23, IXU

(1 min read)

Oct 23, 2023 Notes - Models of Computation MT23, Pumping lemmaU

(13 min read)

Oct 23, 2023 Notes - Models of Computation MT23, Kozen's axiomsU

(11 min read)

Oct 23, 2023 Lecture - Models of Computation MT23, VU

(1 min read)

Oct 22, 2023 Notes - Machine Learning MT23, Basis expansionU

(8 min read)

Oct 22, 2023 Lecture - Machine Learning MT23, VU

(1 min read)

Oct 22, 2023 Notes - Machine Learning MT23, Maximum likelihood principleU

(6 min read)

Oct 22, 2023 Notes - Machine Learning MT23, Covariance and correlationU

(3 min read)

Oct 22, 2023 Notes - Machine Learning MT23, Inverse transform samplingU

(2 min read)

Oct 22, 2023 Lecture - Machine Learning MT23, IVU

(1 min read)

Oct 22, 2023 Notes - Machine Learning MT23, PerceptronsU

(2 min read)

Oct 19, 2023 Notes - Linear Algebra MT23, Quotient spacesU

(10 min read)

Oct 19, 2023 Lecture - Linear Algebra MT23, IVU

(1 min read)

Oct 19, 2023 Lecture - Metric Spaces MT23, VIIIU

(1 min read)

Oct 18, 2023 Lecture - Models of Computation MT23, IVU

(1 min read)

Oct 18, 2023 Notes - Metric Spaces MT23, Lipschitz continuityU

(1 min read)

Oct 18, 2023 Lecture - Metric Spaces MT23, VIIU

(1 min read)

Oct 17, 2023 Notes - Machine Learning MT23, MiscU

(1 min read)

Oct 17, 2023 Notes - Machine Learning MT23, Matrix calculusU

(5 min read)

Oct 17, 2023 Notes - Machine Learning MT23, Linear regressionU

(31 min read)

Oct 17, 2023 Lecture - Machine Learning MT23, IIIU

(1 min read)

Oct 17, 2023 Lecture - Machine Learning MT23, IIU

(1 min read)

Oct 17, 2023 Lecture - Machine Learning MT23, IU

(1 min read)

Oct 17, 2023 Notes - Linear Algebra MT23, Minimal polynomialsU

(20 min read)

Oct 17, 2023 Lecture - Linear Algebra MT23, IIIU

(1 min read)

Oct 17, 2023 Lecture - Metric Spaces MT23, VIU

(1 min read)

Oct 17, 2023 Notes - Metric Spaces MT23, EquivalenceU

(1 min read)

Oct 17, 2023 Lecture - Metric Spaces MT23, VU

(1 min read)

Oct 17, 2023 Notes - Models of Computation MT23, Regular expressionsU

(17 min read)

Oct 17, 2023 Lecture - Models of Computation MT23, IIIU

(1 min read)

Oct 12, 2023 Notes - Linear Algebra MT23, Integral domainsU

(2 min read)

Oct 12, 2023 Notes - Linear Algebra MT23, RingsU

(17 min read)

Oct 12, 2023 Lecture - Linear Algebra MT23, IIU

(1 min read)

Oct 12, 2023 Lecture - Metric Spaces MT23, IVU

(1 min read)

Oct 11, 2023 Notes - Models of Computation MT23, Regular languagesU

(2 min read)

Oct 11, 2023 Notes - Models of Computation MT23, NFAsU

(19 min read)

Oct 11, 2023 Lecture - Models of Computation MT23, IIU

(1 min read)

Oct 11, 2023 Lecture - Metric Spaces MT23, IIIU

(1 min read)

Oct 11, 2023 Notes - Complex Analysis MT23, Paths and curvesU

(12 min read)

Oct 11, 2023 Notes - Complex Analysis MT23, Complex integrationU

(31 min read)

Oct 10, 2023 Lecture - Metric Spaces MT23, IIU

(1 min read)

Oct 09, 2023 Notes - Models of Computation MT23, LanguagesU

(3 min read)

Oct 09, 2023 Notes - Models of Computation MT23, Basic definitionsU

(2 min read)

Oct 09, 2023 Notes - Models of Computation MT23, DFAsU

(10 min read)

Oct 09, 2023 Lecture - Models of Computation MT23, IU

(1 min read)

Oct 09, 2023 Lecture - Metric Spaces MT23, IU

(1 min read)

Oct 09, 2023 Notes - Linear Algebra MT23, Rank-nullity theoremU

(1 min read)

Oct 09, 2023 Notes - Linear Algebra MT23, HomomorphismsU

(2 min read)

Oct 09, 2023 Notes - Linear Algebra MT23, FieldsU

(5 min read)

Oct 09, 2023 Lecture - Linear Algebra MT23, IU

(1 min read)

Sep 24, 2023 Course - Models of Computation MT23U

(4 min read)

Sep 24, 2023 Course - Machine Learning MT23U

(5 min read)

Sep 24, 2023 Course - Linear Algebra MT23U

(4 min read)

Sep 24, 2023 Courses HT24U

(1 min read)

Sep 04, 2023 Notes - Complex Analysis MT23, LogarithmsU

(4 min read)

Sep 04, 2023 Notes - Complex Analysis MT23, Power seriesU

(7 min read)

Sep 04, 2023 Notes - Complex Analysis MT23, Complex differentiabilityU

(32 min read)

Sep 02, 2023 Notes - Complex Analysis MT23, Möbius mapsU

(40 min read)

Sep 02, 2023 Notes - Complex Analysis MT23, Extended complex planeU

(23 min read)

Sep 02, 2023 Notes - Complex Analysis MT23, GeometryU

(5 min read)

Sep 02, 2023 Notes - Complex Analysis MT23, DomainsU

(2 min read)

Aug 28, 2023 Course - Complex Analysis MT23U

(4 min read)

Aug 28, 2023 Notes - Metric Spaces MT23, CompactnessU

(62 min read)

Aug 28, 2023 Notes - Metric Spaces MT23, Path-connectednessU

(13 min read)

Aug 28, 2023 Notes - Metric Spaces MT23, ConnectednessU

(27 min read)

Jul 31, 2023 Notes - Metric Spaces MT23, ContractionsU

(17 min read)

Jul 31, 2023 Notes - Metric Spaces MT23, CompletenessU

(23 min read)

Jul 30, 2023 Notes - Metric Spaces MT23, Limit pointsU

(8 min read)

Jul 30, 2023 Notes - Metric Spaces MT23, Interiors and closuresU

(13 min read)

Jul 30, 2023 Notes - Metric Spaces MT23, NeighbourhoodsU

(1 min read)

Jul 30, 2023 Notes - Metric Spaces MT23, Open and closed setsU

(17 min read)

Jul 21, 2023 Notes - Metric Spaces MT23, HomeomorphismsU

(3 min read)

Jul 21, 2023 Notes - Metric Spaces MT23, IsometriesU

(3 min read)

Jul 21, 2023 Notes - Metric Spaces MT23, Function spacesU

(4 min read)

Jul 20, 2023 Notes - Metric Spaces MT23, Limits and continuityU

(12 min read)

Jul 20, 2023 Notes - Metric Spaces MT23, BoundednessU

(4 min read)

Jul 20, 2023 Notes - Metric Spaces MT23, BallsU

(3 min read)

Jul 20, 2023 Notes - Metric Spaces MT23, Product spacesU

(8 min read)

Jul 20, 2023 Notes - Metric Spaces MT23, SubspacesU

(2 min read)

Jul 19, 2023 Notes - Metric Spaces MT23, ExamplesU

(7 min read)

Jul 19, 2023 Notes - Metric Spaces MT23, Basic definitionsU

(12 min read)

Jul 19, 2023 Course - Metric Spaces MT23U

(4 min read)

Jul 19, 2023 Courses MT23U

(1 min read)

Jun 21, 2023 Notes - Probability MT22, Random variablesU

(36 min read)

Jun 21, 2023 Notes - Probability MT22, Axioms of probability spaceU

(14 min read)

Jun 20, 2023 Notes - Continuous Mathematics HT23, Lagrange multipliersU

(1 min read)

Jun 17, 2023 Notes - Linear Algebra I MT22, Rank and nullity inequalitiesU

(4 min read)

Jun 14, 2023 Notes - Imperative Programming TT23, Tree traversalU

(5 min read)

Jun 14, 2023 Notes - Imperative Programming TT23, Design patternsU

(4 min read)

Jun 11, 2023 List of algorithms to memorise for DAAU

(2 min read)

Jun 08, 2023 Notes - Imperative Programming TT23, GUIsU

(4 min read)

Jun 01, 2023 Notes - Probability MT22, MiscU

(6 min read)

May 31, 2023 The Most Important Proofs in Prelims AlgebraU

(8 min read)

May 31, 2023 Notes - Analysis II HT23, Continuous inverse function theoremU

(9 min read)

May 30, 2023 Notes - Groups TT23, Wilson’s theoremU

(5 min read)

May 30, 2023 Notes - Groups TT23, Chinese remainder theoremU

(5 min read)

May 29, 2023 The Most Important Proofs in Prelims AnalysisU

(11 min read)

May 25, 2023 Lecture - Groups TT23, Cayley’s theoremU

(8 min read)

May 25, 2023 Lecture - Groups TT23, VIIIU

(1 min read)

May 25, 2023 Notes - Groups TT23, Class equationU

(2 min read)

May 25, 2023 Notes - Groups TT23, Counting orbitsU

(6 min read)

May 25, 2023 Lecture - Groups TT23, VIIU

(1 min read)

May 25, 2023 Notes - Analysis III TT23, Logarithm functionU

(2 min read)

May 25, 2023 Notes - Analysis III TT23, Cauchy principal valueU

(2 min read)

May 25, 2023 Lecture - Analysis III TT23, VIIIU

(1 min read)

May 25, 2023 Notes - Analysis III TT23, Power seriesU

(2 min read)

May 25, 2023 Notes - Analysis III TT23, Differentiation and limitsU

(6 min read)

May 25, 2023 Lecture - Analysis III TT23, VIIU

(1 min read)

May 23, 2023 Notes - DAA HT23, Strongly connected componentsU

(4 min read)

May 23, 2023 Notes - DAA HT23, Spanning treesU

(16 min read)

May 23, 2023 Notes - DAA HT23, Shortest paths and relaxationU

(19 min read)

May 23, 2023 Notes - DAA HT23, Breadth-first searchU

(4 min read)

May 23, 2023 Notes - DAA HT23, Depth-first searchU

(29 min read)

May 23, 2023 Notes - Functional Programming MT22, Duality theoremsU

(5 min read)

May 23, 2023 Notes - Functional Programming MT22, Common functionsU

(7 min read)

May 23, 2023 Notes - Functional Programming MT22, Fold cheatsheetU

(16 min read)

May 19, 2023 Lecture - Imperative Programming TT23, XIU

(5 min read)

May 18, 2023 Lecture - Imperative Programming TT23, XU

(7 min read)

May 15, 2023 Lecture - Imperative Programming TT23, IXU

(1 min read)

May 12, 2023 Notes - Analysis III TT23, Integration and limitsU

(4 min read)

May 12, 2023 Notes - Analysis III TT23, Integration by substitutionU

(3 min read)

May 12, 2023 Notes - Analysis III TT23, Integration by partsU

(3 min read)

May 12, 2023 Lecture - Analysis III TT23, VIU

(1 min read)

May 12, 2023 Lecture - Imperative Programming TT23, VIIIU

(3 min read)

May 12, 2023 Notes - Analysis III TT23, Fundamental theorems of calculusU

(8 min read)

May 12, 2023 Lecture - Analysis III TT23, VU

(1 min read)

May 12, 2023 Notes - Groups TT23, Cauchy’s theoremU

(6 min read)

May 12, 2023 Notes - Groups TT23, Classifying groupsU

(6 min read)

May 12, 2023 Lecture - Groups TT23, VIU

(1 min read)

May 11, 2023 Lecture - Imperative Programming TT23, VIIU

(5 min read)

May 08, 2023 Tutorial - Groups HT23, III and IVU

(1 min read)

May 08, 2023 Notes - Groups TT23, Orbits and stabilisersU

(14 min read)

May 08, 2023 Notes - Groups TT23, Group actionsU

(2 min read)

May 08, 2023 Lecture - Groups TT23, VU

(1 min read)

May 08, 2023 Lecture - Groups TT23, IVU

(1 min read)

May 08, 2023 Lecture - Groups TT23, IIIU

(1 min read)

May 08, 2023 Lecture - Imperative Programming TT23, VIU

(1 min read)

May 07, 2023 Lecture - Imperative Programming TT23, VU

(8 min read)

May 04, 2023 Tutorial - Imperative Programming I and II - 2023-05-04U

(1 min read)

May 04, 2023 Notes - Groups TT23, First isomorphism theoremU

(9 min read)

May 04, 2023 Lecture - Imperative Programming TT23, IVU

(10 min read)

May 03, 2023 Notes - Analysis III TT23, Riemann sumsU

(5 min read)

May 03, 2023 Notes - Analysis III TT23, Integrals of monotone functionsU

(3 min read)

May 03, 2023 Notes - Analysis III TT23, Integral mean value theoremsU

(4 min read)

May 03, 2023 Lecture - Analysis III TT23, IVU

(1 min read)

May 03, 2023 Lecture - Analysis III TT23, IIIU

(1 min read)

May 02, 2023 Notes - Imperative Programming TT23, EqualityU

(2 min read)

May 02, 2023 Notes - Imperative Programming TT23, Type varianceU

(5 min read)

May 02, 2023 Lecture - Imperative Programming TT23, IIIU

(5 min read)

Apr 28, 2023 Lecture - Imperative Programming TT23, IIU

(6 min read)

Apr 28, 2023 Notes - Groups TT23, Quotient groupsU

(5 min read)

Apr 28, 2023 Notes - Groups HT23, Normal subgroupsU

(10 min read)

Apr 28, 2023 Lecture - Groups TT23, IIU

(1 min read)

Apr 27, 2023 Notes - Analysis I MT22, Rationals and irrationalsU

(1 min read)

Apr 27, 2023 Lecture - Groups TT23, IU

(1 min read)

Apr 27, 2023 Course - Groups and Group Actions TT23U

(2 min read)

Apr 27, 2023 Lecture - Imperative Programming TT23, IU

(10 min read)

Apr 27, 2023 Course - Imperative Programming III TT23U

(2 min read)

Apr 26, 2023 Notes - Analysis III TT23, Basic theorems about the integralU

(17 min read)

Apr 26, 2023 Lecture - Analysis III TT23, IIU

(1 min read)

Apr 24, 2023 Notes - Imperative Programming HT23, TestingU

(1 min read)

Apr 24, 2023 Notes - Analysis III TT23, Step functions and basic definitionsU

(18 min read)

Apr 24, 2023 Lecture - Analysis III TT23, IU

(1 min read)

Apr 24, 2023 Course - Analysis III TT23U

(3 min read)

Apr 24, 2023 Courses TT23U

(1 min read)

Apr 18, 2023 Notes - Ethics and Responsible Innovation HT23, Written Reflection PlanU

(4 min read)

Apr 05, 2023 Notes - Analysis I MT22, Infimums and supremumsU

(1 min read)

Mar 23, 2023 Notes - DAA HT23, MatroidsU

(1 min read)

Mar 23, 2023 Notes - DAA HT23, Disjoint setsU

(8 min read)

Mar 23, 2023 Notes - DAA HT23, Greedy algorithmsU

(1 min read)

Mar 22, 2023 Notes - Analysis II HT23, L’Hôpital’s RuleU

(17 min read)

Mar 22, 2023 Notes - Analysis II HT23, Taylor’s theoremU

(9 min read)

Mar 15, 2023 Notes - Groups HT23, CosetsU

(5 min read)

Mar 15, 2023 Notes - Groups HT23, Lagrange’s theoremU

(7 min read)

Mar 15, 2023 Notes - Groups HT23, Modular arithmeticU

(12 min read)

Mar 15, 2023 Notes - Groups HT23, Equivalence relationsU

(3 min read)

Mar 15, 2023 Notes - Groups HT23, HCF and LCMU

(5 min read)

Mar 15, 2023 Notes - Imperative Programming HT23, Priority queuesU

(1 min read)

Mar 15, 2023 Notes - Imperative Programming HT23, Binary search treesU

(6 min read)

Mar 14, 2023 Notes - Imperative Programming HT23, Hash tablesU

(6 min read)

Mar 14, 2023 Notes - Imperative Programming HT23, Bit mapsU

(1 min read)

Mar 14, 2023 Lecture - Analysis II HT23, XVU

(1 min read)

Mar 14, 2023 Lecture - Analysis II HT23, XIVU

(1 min read)

Mar 14, 2023 Lecture - Analysis II HT23, XIIIU

(1 min read)

Mar 14, 2023 Lecture - Imperative Programming HT23, XXU

(1 min read)

Mar 14, 2023 Lecture - Imperative Programming HT23, XIXU

(1 min read)

Mar 14, 2023 Lecture - Imperative Programming HT23, XVIIU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XIVU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XIIIU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XVIU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XIIU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XVU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XIU

(1 min read)

Mar 14, 2023 Lecture - DAA HT23, XU

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Feb 27, 2023 Notes - Analysis II HT23, Binomial expansionU

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Feb 27, 2023 Notes - Analysis II HT23, Mean value theoremsU

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Feb 27, 2023 Lecture - Continuous Mathematics HT23, XIIU

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Feb 27, 2023 Lecture - Continuous Mathematics HT23, XIU

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Feb 27, 2023 Notes - Analysis II HT23, ExtremaU

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Feb 27, 2023 Lecture - Analysis II HT23, XIU

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Feb 24, 2023 Lecture - Imperative Programming HT23, XVIU

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Feb 24, 2023 Notes - Groups HT23, PermutationsU

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Feb 22, 2023 Lecture - Imperative Programming HT23, XVU

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Feb 19, 2023 Notes - Analysis II HT23, Differentiation theoremU

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Feb 19, 2023 Lecture - Analysis II HT23, XU

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Feb 17, 2023 Notes - Groups HT23, HomomorphismsU

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Feb 17, 2023 Notes - Groups HT23, Cayley tablesU

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Feb 17, 2023 Notes - Groups HT23, Cyclic groupsU

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Feb 17, 2023 Notes - Groups HT23, Special groupsU

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Feb 17, 2023 Notes - Groups HT23, SubgroupsU

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Feb 17, 2023 Notes - Analysis II HT23, DifferentitationU

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Feb 17, 2023 Lecture - Analysis II HT23, IXU

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Feb 17, 2023 Lecture - Imperative Programming HT23, XIVU

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Feb 16, 2023 Lecture - Continuous Mathematics HT23, XU

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Feb 16, 2023 Notes - Linear Algebra II HT23, QuadricsU

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Feb 16, 2023 Lecture - DAA HT23, IXU

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Feb 16, 2023 Notes - DAA HT23, GraphsU

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Feb 16, 2023 Lecture - DAA HT23, VIIIU

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Feb 16, 2023 Lecture - Linear Algebra II HT23, VIIIU

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Feb 16, 2023 Notes - DAA HT23, Dynamic programmingU

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Feb 16, 2023 Lecture - DAA HT23, VIIU

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Feb 16, 2023 Notes - Imperative Programming HT23, Linked listsU

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Feb 16, 2023 Notes - Imperative Programming HT23, ScalaU

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Feb 16, 2023 Lecture - Imperative Programming HT23, XIIIU

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Feb 16, 2023 Lecture - Imperative Programming HT23, XIIU

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Feb 16, 2023 Lecture - Imperative Programming HT23, XIU

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Feb 16, 2023 Notes - Imperative Programming HT23, Abstract data typesU

(8 min read)

Feb 16, 2023 Notes - Imperative Programming HT23, Object-oriented programmingU

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Feb 16, 2023 Lecture - Imperative Programming HT23, XU

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Feb 16, 2023 Notes - Groups HT23, Group axiomsU

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Feb 08, 2023 Lecture - Imperative Programming HT23, IXU

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Feb 08, 2023 Lecture - Analysis II HT23, VIIIU

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Feb 07, 2023 Notes - Analysis II HT23, Uniform convergenceU

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Feb 07, 2023 Notes - Analysis II HT23, Lipschitz ContinuityU

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Feb 07, 2023 Lecture - Analysis II HT23, VIIU

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Feb 07, 2023 Notes - Continuous Mathematics HT23, Root-FindingU

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Feb 07, 2023 Lecture - Continuous Mathematics HT23, IXU

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Feb 07, 2023 Lecture - Linear Algebra II HT23, VIIU

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Feb 06, 2023 Notes - Imperative Programming HT23, Maximum segment sumU

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Feb 06, 2023 Lecture - Imperative Programming HT23, VIIIU

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Feb 06, 2023 Lecture - Imperative Programming HT23, VIIU

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Feb 06, 2023 Notes - Linear Algebra II HT23, Gram-Schmidt ProcessU

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Feb 06, 2023 Lecture - Linear Algebra II HT23, VIU

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Feb 02, 2023 Notes - Continuous Mathematics HT23, ConvergenceU

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Feb 02, 2023 Notes - Continuous Mathematics HT23, Floating point numbersU

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Feb 02, 2023 Notes - Continuous Mathematics HT23, ErrorU

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Feb 02, 2023 Lecture - Continuous Mathematics HT23, VIIIU

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Feb 02, 2023 Notes - DAA HT23, HeapsU

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Feb 02, 2023 Lecture - DAA HT23, VIU

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Feb 02, 2023 Notes - Analysis II HT23, Uniform continuityU

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Feb 02, 2023 Notes - Analysis II HT23, Monotonic functionsU

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Feb 02, 2023 Notes - Analysis II HT23, Pathological examplesU

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Feb 02, 2023 Lecture - Analysis II HT23, VIU

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Feb 01, 2023 Notes - Analysis II HT23, IntervalsU

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Feb 01, 2023 Lecture - Analysis II HT23, VU

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Feb 01, 2023 Lecture - Imperative Programming HT23, VIU

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Feb 01, 2023 Notes - DAA HT23, Fast Fourier TransformU

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Feb 01, 2023 Lecture - DAA HT23, VU

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Jan 30, 2023 Lecture - Linear Algebra II HT23, VU

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Jan 30, 2023 Lecture - Continuous Mathematics HT23, VIIU

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Jan 30, 2023 Notes - Analysis II HT23, Nested interval theoremU

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Jan 30, 2023 Notes - Analysis II HT23, Intermediate value theoremU

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Jan 30, 2023 Notes - Analysis II HT23, Boundedness theoremU

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Jan 30, 2023 Lecture - Analysis II HT23, IVU

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Jan 28, 2023 Lecture - Imperative Programming HT23, VU

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Jan 28, 2023 Lecture - Imperative Programming HT23, IVU

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Jan 28, 2023 Notes - Linear Algebra II HT23, TraceU

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Jan 28, 2023 Notes - Linear Algebra II HT23, Eigenvectors and eigenvaluesU

(29 min read)

Jan 28, 2023 Lecture - Linear Algebra II HT23, IVU

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Jan 28, 2023 Notes - DAA HT23, SortingU

(11 min read)

Jan 28, 2023 Notes - Continuous Mathematics HT23, ConvexityU

(14 min read)

Jan 28, 2023 Lecture - Continuous Mathematics HT23, VIU

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Jan 27, 2023 Notes - DAA HT23, Order statisticsU

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Jan 27, 2023 Lecture - DAA HT23, IVU

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Jan 26, 2023 Notes - DAA HT23, The AlgorithmsU

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Jan 24, 2023 Notes - Design and Analysis of Algorithms HT23, Divide-and-conquerU

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Jan 24, 2023 Lecture - Design and Analysis of Algorithms HT23, IIIU

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Jan 24, 2023 Notes - Analysis II HT23, ContinuityU

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Jan 24, 2023 Lecture - Analysis II HT23, IIIU

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Jan 24, 2023 Notes - Probability MT22, ExpectationsU

(15 min read)

Jan 24, 2023 Notes - Continuous Mathematics HT23, DefinitenessU

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Jan 24, 2023 Lecture - Continuous Mathematics HT23, VU

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Jan 23, 2023 Notes - Imperative Programming HT23, InvariantsU

(7 min read)

Jan 23, 2023 Lecture - Imperative Programming HT23, IIIU

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Jan 23, 2023 Lecture - Imperative Programming HT23, IIU

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Jan 23, 2023 Notes - Continuous Mathematics HT23, OptimisationU

(69 min read)

Jan 23, 2023 Lecture - Continuous Mathematics HT23, IVU

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Jan 23, 2023 Notes - Analysis I MT22, Power seriesU

(8 min read)

Jan 23, 2023 Notes - Analysis I MT22, Integral testU

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Jan 23, 2023 Lecture - Linear Algebra II HT23, IIIU

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Jan 20, 2023 Notes - Linear Algebra II HT23, Matrix multiplicationU

(9 min read)

Jan 20, 2023 Notes - Linear Algebra II HT23, PermutationsU

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Jan 20, 2023 Lecture - Linear Algebra II HT23, IIU

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Jan 19, 2023 Lecture - Continuous Mathematics HT23, IIIU

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Jan 19, 2023 Notes - Design and Analysis of Algorithms HT23, Asymptotic NotationU

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Jan 19, 2023 Lecture - Design and Analysis of Algorithms HT23, IIU

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Jan 18, 2023 Lecture - Analysis II HT23, IIU

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Jan 18, 2023 Lecture - Imperative Programming, IU

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Jan 17, 2023 Notes - Continuous Mathematics HT23, DerivativesU

(18 min read)

Jan 17, 2023 Notes - Continuous Mathematics HT23, Taylor's theoremU

(10 min read)

Jan 17, 2023 Lecture - Continuous Mathematics HT23, IIU

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Jan 17, 2023 Lecture - Design and Analysis of Algorithms HT23, IU

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Jan 17, 2023 Notes - Analysis II HT23, Function limitsU

(29 min read)

Jan 17, 2023 Notes - Analysis II HT23, Limit pointsU

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Jan 17, 2023 Lecture - Analysis II HT23, IU

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Jan 16, 2023 Notes - Continuous Mathematics HT23, ContinuityU

(8 min read)

Jan 16, 2023 Lecture - Continuous Mathematics HT23, IU

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Jan 16, 2023 Lecture - Linear Algebra II HT23, IU

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Jan 16, 2023 Notes - Linear Algebra II HT23, DeterminantsU

(24 min read)

Jan 14, 2023 Course - Linear Algebra II HT23U

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Jan 14, 2023 Course - Groups and Group Actions HT23U

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Jan 14, 2023 Course - Analysis II HT23U

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Jan 14, 2023 Course - Imperative Programming I and II HT23U

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Jan 14, 2023 Course - Design and Analysis of Algorithms HT23U

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Jan 14, 2023 Course - Continuous Mathematics HT23U

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Jan 14, 2023 Notes - Analysis I MT22, Scenic viewpoint theoremU

(2 min read)

Jan 12, 2023 Proofs - Functional Programming MT22U

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Jan 12, 2023 Notes - Functional Programming MT22, Fold fusionU

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Jan 12, 2023 Notes - Probability MT22, Random sums theoremU

(8 min read)

Jan 08, 2023 Notes - Analysis I MT22, Alternating series testU

(9 min read)

Jan 08, 2023 Notes - Analysis I MT22, Cauchy sequencesU

(7 min read)

Jan 08, 2023 Notes - Analysis I MT22, Triangle InequalityU

(5 min read)

Jan 08, 2023 Notes - Linear Algebra I MT22, Triangle InequalityU

(4 min read)

Jan 08, 2023 Notes - Linear Algebra I MT22, Cauchy-Schwarz InequalityU

(10 min read)

Jan 08, 2023 Notes - Linear Algebra I MT22, Column rank and row rankU

(10 min read)

Jan 07, 2023 Notes - Linear Algebra I MT22, Change of basis theoremU

(21 min read)

Jan 07, 2023 Notes - Linear Algebra I MT22, Rank-Nullity TheoremU

(9 min read)

Jan 06, 2023 Notes - Linear Algebra I MT22, Dimension FormulaU

(7 min read)

Jan 06, 2023 Notes - Linear Algebra I MT22, Steinitz Exchange LemmaU

(8 min read)

Jan 05, 2023 Notes - Probability MT22, DistributionsU

(36 min read)

Jan 03, 2023 Notes - Analysis I MT22, Approximation propertyU

(3 min read)

Jan 03, 2023 Notes - Analysis I MT22, Monotone sequence theoremU

(4 min read)

Jan 03, 2023 Notes - Analysis I MT22, Limits are uniqueU

(2 min read)

Jan 03, 2023 Notes - Analysis I MT22, Convergent implies boundedU

(2 min read)

Jan 03, 2023 Proofs - Linear Algebra I MT22U

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Jan 03, 2023 Proofs - Analysis I MT22U

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Jan 03, 2023 Notes - Analysis I MT22, Limit Inequality TheoremU

(5 min read)

Jan 03, 2023 Notes - Analysis I MT22, Algebra of LimitsU

(8 min read)

Jan 02, 2023 Problem Sheet - Analysis I MT22, IIIU

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Dec 31, 2022 Notes - Linear Algebra I MT22, Chapter 8U

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Dec 31, 2022 Notes - Linear Algebra I MT22, Chapter 7U

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Dec 31, 2022 Notes - Linear Algebra I MT22, Chapter 6U

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Dec 31, 2022 Notes - Linear Algebra I MT22, Chapter 5U

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Dec 31, 2022 Notes - Linear Algebra I MT22, Chapter 4U

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Dec 31, 2022 Notes - Linear Algebra I MT22, Chapter 3U

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Dec 30, 2022 Notes - Linear Algebra I MT22, Chapter 2U

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Dec 30, 2022 Notes - Linear Algebra I MT22, Chapter 1U

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Dec 14, 2022 Lecture - Ethics and Responsible Innovation MT22, IVU

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Dec 14, 2022 Lecture - Probability, XVIU

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Dec 13, 2022 Lecture - Analysis MT22, XVU

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Dec 13, 2022 Lecture - Functional Programming MT22, XVIU

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Dec 13, 2022 Lecture - Functional Programming MT22, XVU

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Dec 13, 2022 Lecture - Probability, XVU

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Dec 13, 2022 Lecture - Analysis MT22, XIVU

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Dec 06, 2022 Lecture - Linear Algebra I MT22, XIVU

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Dec 06, 2022 Lecture - Linear Algebra MT22, XIIIU

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Dec 05, 2022 Course - Introduction to Complex Numbers MT22U

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Dec 05, 2022 Courses HT22U

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Nov 26, 2022 Lecture - Functional Programming MT22, XIVU

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Nov 26, 2022 Lecture - Functional Programming MT22, XIIIU

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Nov 26, 2022 Lecture - Functional Programming MT22, XIIU

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Nov 26, 2022 Lecture - Linear Algebra MT22, XIIU

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Nov 26, 2022 Lecture - Analysis MT22, XIIIU

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Nov 26, 2022 Lecture - Analysis MT22, XIIU

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Nov 26, 2022 Lecture - Probability, XIVU

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Nov 26, 2022 Lecture - Probability, XIIIU

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Nov 25, 2022 Lecture - Ethics and Responsible Innovation MT22, IIIU

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Nov 24, 2022 Lecture - Functional Programming, MT22, VIIIU

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Nov 24, 2022 Lecture - Linear Algebra MT22, XIU

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Nov 22, 2022 Problem Sheet - Analysis MT22, VIU

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Nov 20, 2022 Problem Sheet - Linear Algebra MT22, VU

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Nov 19, 2022 Lecture - Linear Algebra MT22, XU

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Nov 19, 2022 Lecture - Linear Algebra MT22, IXU

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Nov 19, 2022 Lecture - Probability MT22, XIIU

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Nov 19, 2022 Lecture - Probability MT22, XIU

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Nov 19, 2022 Lecture - Analysis MT22, XIU

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Nov 19, 2022 Lecture - Analysis MT22, XU

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Nov 18, 2022 Lecture - Ethics and Responsible Innovation MT22, IIU

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Nov 15, 2022 Lecture - Functional Programming MT22, XIU

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Nov 11, 2022 Lecture - Probability, XU

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Nov 11, 2022 Lecture - Analysis MT22, IXU

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Nov 11, 2022 Lecture - Ethics and Responsible Innovation MT22, IU

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Nov 10, 2022 Lecture - Linear Algebra MT22, VIIIU

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Nov 10, 2022 Lecture - Linear Algebra MT22, VIIU

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Nov 10, 2022 Lecture - Analysis MT22, VIIIU

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Nov 08, 2022 Lecture - Functional Programming, MT22, VIIU

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Nov 08, 2022 Lecture - Probability MT22, IXU

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Nov 05, 2022 Lecture - Functional Programming MT22, VIU

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Nov 05, 2022 Lecture - Linear Algebra MT22, VIU

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Nov 05, 2022 Lecture - Linear Algebra MT22, VU

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Nov 05, 2022 Lecture - Analysis VIIU

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Nov 05, 2022 Lecture - Analysis VIU

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Nov 05, 2022 Lecture - Probability MT22, VIIIU

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Nov 05, 2022 Lecture - Analysis MT22, VU

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Nov 01, 2022 Lecture - Analysis MT22, IVU

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Nov 01, 2022 Lecture - Probability MT22, VIIU

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Nov 01, 2022 Lecture - Probability MT22, VIU

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Oct 30, 2022 Lecture - Functional Programming MT22, IIIU

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Oct 30, 2022 Lecture - Functional Programming MT22, IU

(1 min read)

Oct 28, 2022 Lecture - Linear Algebra MT22, IVU

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Oct 25, 2022 Lecture - Linear Algebra MT22, IIIU

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Oct 24, 2022 Lecture - Functional Programming MT22, VU

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Oct 24, 2022 Lecture - Probability MT22, VU

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Oct 23, 2022 Lecture - Probability MT22, IVU

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Oct 23, 2022 Lecture - Analysis MT22, IIIU

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Oct 20, 2022 Lecture - Linear Algebra MT22, IIU

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Oct 20, 2022 Lecture - Analysis MT22, Lecture 2U

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Oct 20, 2022 Courses MT22U

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Oct 18, 2022 Lecture - Linear Algebra MT22, IU

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Oct 18, 2022 Course - Linear Algebra MT22U

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Oct 17, 2022 Lecture - Functional Programming MT22, IIU

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Oct 17, 2022 Course - Functional Programming MT22U

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Oct 17, 2022 Lecture - Analysis MT22, Lecture 1U

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Oct 17, 2022 Course - Analysis MT22U

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Oct 17, 2022 Lecture - Probability, Lecture 3U

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Oct 17, 2022 Lecture - Probability, Lecture 2U

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Oct 17, 2022 Course - ProbabilityU

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Oct 16, 2022 Lecture - Introduction to University Mathematics, Lecture 6U

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Oct 16, 2022 Lecture - Introduction to University Mathematics, VU

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Oct 16, 2022 Lecture - Introduction to University Mathematics, Lecture 4U

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Oct 09, 2022 Lecture - Introduction to University Mathematics, Lecture 3U

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Oct 09, 2022 Lecture - Introduction to University Mathematics, Lecture 2U

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Oct 07, 2022 Lecture - Probability, Lecture 1U

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Oct 07, 2022 Lecture - Introduction to University Mathematics, Lecture 1U

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Oct 07, 2022 Course - Introduction to University MathematicsU

(2 min read)

A-level notes

Oct 01, 2025 Maths - VectorsA

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Oct 01, 2025 Mechanics - PulleysA

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Jun 08, 2022 Further Maths - MiscA

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May 19, 2022 Further Maths - Derivatives Cheat SheetA

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May 11, 2022 Computing - MiscA

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Apr 28, 2022 Physics - MagnestismA

(36 min read)

Apr 20, 2022 Physics - Recall for Chapter 16: Circular MotionA

(9 min read)

Apr 20, 2022 Physics - Recall for Chapter 18: Gravitational FieldsA

(14 min read)

Apr 20, 2022 Physics - Recall for Chapter 27: Medical ImagingA

(27 min read)

Apr 20, 2022 Physics - Recall for Chapter 25: RadioactivityA

(34 min read)

Apr 20, 2022 Physics - Recall for Chapter 24: Particle PhysicsA

(27 min read)

Apr 20, 2022 Physics - Recall for Chapter 23: Magnetic FieldsA

(21 min read)

Apr 20, 2022 Physics - Recall for Chapter 22: Electric FieldsA

(14 min read)

Apr 18, 2022 Physics - Recall for Chapter 20: CosmologyA

(23 min read)

Apr 18, 2022 Physics - Recall for Chapter 21: CapacitanceA

(13 min read)

Apr 17, 2022 Physics - Recall for Chapter 17: OscillationsA

(21 min read)

Apr 14, 2022 Physics - Recall for Chapter 26: Nuclear PhysicsA

(22 min read)

Apr 14, 2022 Physics - Recall for Chapter 19: StarsA

(31 min read)

Apr 05, 2022 Physics - Medical ImagingA

(76 min read)

Mar 30, 2022 Further Maths - Complex SumsA

(4 min read)

Mar 30, 2022 Further Maths - Simplex AlgorithmA

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Mar 28, 2022 Physics - Nuclear PhysicsA

(23 min read)

Mar 22, 2022 Physics - Recall for Chapter 15: Ideal GasesA

(29 min read)

Mar 22, 2022 Further Maths - Linear ProgrammingA

(9 min read)

Mar 22, 2022 Physics - CapacitanceA

(20 min read)

Mar 17, 2022 Physics - Recall for Chapter 14: Thermal PhysicsA

(22 min read)

Mar 16, 2022 Computing - Storage DevicesA

(11 min read)

Mar 16, 2022 Further Maths - Planarity AlgorithmA

(5 min read)

Mar 15, 2022 Further Maths - Floyd's AlgorithmA

(6 min read)

Mar 10, 2022 Further Maths - Simple Harmonic MotionA

(12 min read)

Mar 01, 2022 Physics - Electric FieldsA

(20 min read)

Feb 17, 2022 Further Maths - Crticial Path AnalysisA

(32 min read)

Feb 10, 2022 Physics - RadioactivityA

(57 min read)

Feb 08, 2022 Physics - CosmologyA

(38 min read)

Feb 07, 2022 Maths - Numerical MethodsA

(13 min read)

Feb 07, 2022 Physics - Beta DecayA

(13 min read)

Feb 07, 2022 Mechanics - Further KinematicsA

(1 min read)

Jan 31, 2022 Physics - Standard ModelA

(26 min read)

Jan 26, 2022 Physics - Black-Body CurvesA

(14 min read)

Jan 25, 2022 Physics - Hertzsprung-Russell DiagramsA

(9 min read)

Jan 25, 2022 Further Maths - Cross ProductA

(37 min read)

Jan 20, 2022 Physics - The Nuclear AtomA

(21 min read)

Jan 19, 2022 Further Maths - Reducible Differential EquationsA

(12 min read)

Jan 18, 2022 Physics - Objects in the UniverseA

(8 min read)

Jan 18, 2022 Physics - Stellar EvolutionA

(33 min read)

Dec 08, 2021 Further Maths - Numerical MethodsA

(14 min read)

Dec 08, 2021 Physics - Gravitational PotentialA

(6 min read)

Dec 06, 2021 Physics - SatellitesA

(4 min read)

Dec 05, 2021 Further Maths - LimitsA

(2 min read)

Dec 05, 2021 Maths - Superposition of Sine and CosA

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Dec 01, 2021 Further Maths - Taylor SeriesA

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Dec 01, 2021 Further Maths - Weierstrass SubstitutionA

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Dec 01, 2021 Physics - Kepler's LawsA

(8 min read)

Nov 29, 2021 A-Level NotesA

(3 min read)

Nov 26, 2021 Further Maths - Travelling Salesperson ProblemA

(28 min read)

Nov 25, 2021 Stats - Conditional ProbabilityA

(10 min read)

Nov 25, 2021 Further Maths - L'Hôpital's RuleA

(5 min read)

Nov 24, 2021 Further Maths - Leibnitz's TheoremA

(3 min read)

Nov 20, 2021 Mechanics - FrictionA

(4 min read)

Nov 20, 2021 Mechanics - Forces on SlopesA

(4 min read)

Nov 18, 2021 Physics - Gravitational FieldsA

(9 min read)

Nov 17, 2021 Further Maths - Route InspectionA

(6 min read)

Nov 15, 2021 Further Maths - Dijkstra's AlgorithmA

(9 min read)

Nov 09, 2021 Physics - Ideal GasesA

(20 min read)

Nov 09, 2021 Further Maths - Polar CoordinatesA

(20 min read)

Nov 09, 2021 Maths - Small Angle ApproximationsA

(2 min read)

Nov 08, 2021 Further Maths - Prim's AlgorithmA

(2 min read)

Nov 08, 2021 Physics - MolesA

(10 min read)

Nov 07, 2021 Further Maths - Kruskal's AlgorithmA

(6 min read)

Nov 04, 2021 Further Maths - Hamiltonian CyclesA

(3 min read)

Nov 04, 2021 Further Maths - Eulerian TrailsA

(9 min read)

Oct 20, 2021 Mechanics - MomentsA

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Oct 13, 2021 Further Maths - GraphsA

(19 min read)

Oct 12, 2021 Further Maths - Bin-packingA

(6 min read)

Oct 12, 2021 Further Maths - ShuttlesortA

(5 min read)

Oct 10, 2021 Further Maths - BubblesortA

(2 min read)

Oct 09, 2021 Further Maths - T-formulaeA

(5 min read)

Oct 09, 2021 Maths - Recurrence RelationsA

(5 min read)

Oct 06, 2021 Physics - OscillationsA

(26 min read)

Oct 05, 2021 Maths - Parametric EquationsA

(3 min read)

Oct 05, 2021 Further Maths - Conic SectionsA

(34 min read)

Oct 05, 2021 Further Maths - InequalitiesA

(1 min read)

Sep 30, 2021 Computing - AbstractionA

(2 min read)

Sep 18, 2021 Maths - SeriesA

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Sep 10, 2021 Further Maths - Coupled Differential EquationsA

(2 min read)

Sep 07, 2021 Maths - ModulusA

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Sep 06, 2021 Physics - Thermal PhysicsA

(40 min read)

Sep 03, 2021 Physics - Circular MotionA

(20 min read)

Aug 09, 2021 Maths - Interval NotationA

(3 min read)

Aug 03, 2021 Physics - Recall for Chapter 13: Quantum PhysicsA

(16 min read)

Aug 03, 2021 Physics - Recall for Chapter 12: Waves IIA

(17 min read)

Aug 03, 2021 Physics - Recall for Chapter 11: Waves IA

(28 min read)

Aug 03, 2021 Physics - Recall for Chapter 10: Electrical CircuitsA

(10 min read)

Aug 03, 2021 Phyiscs - Recall for Chapter 9: Energy, Power and ResistanceA

(10 min read)

Aug 03, 2021 Physics - Recall for Chapter 8: Current and ChargeA

(13 min read)

Aug 03, 2021 Physics - Recall for Chapter 7: Laws of Motion and MomentumA

(11 min read)

Aug 03, 2021 Physics - Recall for Chapter 6: MaterialsA

(14 min read)

Aug 03, 2021 Phyiscs - Recall for Chapter 5: Work, Energy and PowerA

(5 min read)

Aug 03, 2021 Physics - Recall for Chapter 4: Forces in ActionA

(21 min read)

Aug 03, 2021 Physics - Recall for Chapter 3: MotionA

(14 min read)

Jul 07, 2021 Maths - MiscA

(7 min read)

Jul 05, 2021 Maths - Compound FunctionsA

(2 min read)

Jul 05, 2021 Physics - SpectraA

(12 min read)

Jul 05, 2021 Maths - Functions and MappingsA

(5 min read)

Jun 17, 2021 Physics - Standing WavesA

(18 min read)

Jun 13, 2021 CTMUAA

(14 min read)

Jun 09, 2021 Physics - Wave-Particle DualityA

(7 min read)

Jun 06, 2021 Maths - ProofA

(1 min read)

Jun 06, 2021 Maths - Proof by ContradictionA

(3 min read)

May 25, 2021 Further Maths - Differential EquationsA

(15 min read)

May 25, 2021 Physics - SuperpositionA

(14 min read)

May 25, 2021 Stats - Normal DistributionA

(26 min read)

May 24, 2021 Physics - The Photoelectric EffectA

(17 min read)

May 24, 2021 Physics - Electromagnetic RadiationA

(4 min read)

May 24, 2021 Physics - Quantum PhysicsA

(1 min read)

May 06, 2021 Maths - Integration by PartsA

(1 min read)

May 05, 2021 Physics - Potential DividersA

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Apr 29, 2021 Further Maths - Integrating and Differentiating Inverse Trig FunctionsA

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Apr 28, 2021 Computing - Limits of ComputationA

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Apr 27, 2021 Computing - Searching GraphsA

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Apr 27, 2021 Further Maths - Improper IntegralsA

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Apr 27, 2021 Further Maths - Mean Value of a FunctionA

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Apr 21, 2021 Physics - Internal ResistanceA

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Apr 19, 2021 Computing - RecursionA

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Mar 29, 2021 Physics - Young's ModulusA

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Mar 25, 2021 Physics - Electromagnetic WavesA

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Mar 24, 2021 Maths - Factor TheoremA

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Mar 23, 2021 Maths - Quotient RuleA

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Mar 22, 2021 Maths - Algebraic Long DivisionA

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Mar 18, 2021 Physics - IntensityA

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Mar 18, 2021 Physics - PolarisationA

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Mar 11, 2021 Computing - Functional ProgrammingA

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Feb 22, 2021 Computing - TCP/IP StackA

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Feb 22, 2021 Further Maths - Exponential Form of Complex NumbersA

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Feb 20, 2021 Maths - Reciprocal Trig FunctionsA

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Jan 29, 2021 Physics - ResistivityA

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Jan 28, 2021 Computing - CommunicationA

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Jan 27, 2021 Computing - NetworkingA

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Jan 18, 2021 Physics - Voltage and Potential DifferenceA

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Jan 15, 2021 Computing - Reverse Polish NotationA

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Jan 13, 2021 Computing - Turing MachinesA

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Jan 12, 2021 Physics - Collisions in 2DA

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Nov 24, 2020 Computing - DatabasesA

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Nov 23, 2020 Physics - EnergyA

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Nov 23, 2020 Computing - SQLA

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Nov 19, 2020 Maths - Angle FactsA

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Nov 18, 2020 Maths - Sine RuleA

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Nov 18, 2020 Maths - BearingsA

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Nov 16, 2020 Physics - Hooke's LawA

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Nov 12, 2020 Stats - Cumulative FrequencyA

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Nov 11, 2020 Physics - Archimedes' PrincipleA

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Oct 24, 2020 Physics - DensityA

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Oct 20, 2020 Physics - ProjectilesA

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Oct 19, 2020 Further Maths - Roots of PolynomialsA

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Oct 19, 2020 Maths - Quadratic ModellingA

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Oct 16, 2020 Computing - CompressionA

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Oct 06, 2020 Maths - DifferentiationA

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Oct 01, 2020 Physics - SUVAT EquationsA

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Sep 29, 2020 Stats - Large Data SetsA

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Sep 28, 2020 Computing - Computer Organisation and ArchitectureA

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Sep 25, 2020 Further Maths - Solving Systems of Equations Using MatriciesA

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Sep 25, 2020 Further Maths - DeterminantsA

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(19 min read)

Sep 17, 2020 Physics - Galileo's Slope ExperimentA

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Sep 16, 2020 Further Maths - Sums of SquaresA

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Sep 16, 2020 Further Maths - Sums of CubesA

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Sep 16, 2020 Computing - LibrariesA

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Sep 15, 2020 Stats - Populations and SamplingA

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Sep 13, 2020 Physics - UncertaintyA

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