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, or look through the VisualisationsN embedded across the notes.


Non-university notes

Jun 06, 2026VisualisationsN

(3 min read)

Jan 12, 2026How we will be measuredN

(1 min read)

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

(1 min read)

Sep 30, 2025Why We Sleep, WalkerN

(1 min read)

Sep 30, 2025The Three Body Problem, LiuN

(1 min read)

Sep 30, 2025Beggar-My-NeighbourN

(1 min read)

Sep 30, 2025The Confessions, AugustineN

(1 min read)

Sep 30, 2025How To Change Your Mind, PollanN

(1 min read)

Sep 30, 2025Crime and Punishment, DostoyevskyN

(1 min read)

Sep 30, 2025Paradise Regained, MiltonN

(1 min read)

Sep 30, 2025Thinking Functionally With Haskell, BirdN

(1 min read)

Sep 30, 2025ProblemsN

(1 min read)

Sep 30, 2025TextbooksN

(1 min read)

Aug 10, 2025Essays, EmersonN

(1 min read)

Feb 04, 2025Paradise Lost, MiltonN

(2 min read)

Jan 10, 2025The Ascent of Money, FergusonN

(1 min read)

Jan 09, 2025Religio Medici, BrowneN

(1 min read)

Jan 09, 2025Complete Poems, MiltonN

(2 min read)

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

(3 min read)

Jan 08, 2025PapersN

(1 min read)

Dec 31, 2024Areopagitica, MiltonN

(1 min read)

Dec 31, 2024Tractate of Education, MiltonN

(1 min read)

Dec 30, 2024Plainsong, HarufN

(1 min read)

Dec 30, 2024At the Mountains of Madness, LovecraftN

(1 min read)

Dec 30, 2024New Atlantis, BaconN

(1 min read)

Dec 22, 2024Essays, BaconN

(1 min read)

Dec 22, 2024Anatomy of the State, RothbardN

(1 min read)

Dec 22, 2024Blood Meridian, McCarthyN

(1 min read)

Dec 22, 2024The TorahN

(1 min read)

Dec 02, 2024Double-ended colourful NimN

(3 min read)

Nov 25, 2024The Golden Sayings, EpictetusN

(1 min read)

Oct 30, 2024Algebra, ArtinN

(15 min read)

Oct 28, 2024Abstract Algebra, JudsonN

(24 min read)

Oct 27, 2024Colourful NimN

(1 min read)

Oct 26, 2024Tic-Tac-ToeN

(1 min read)

Oct 26, 2024Ski JumpsN

(1 min read)

Oct 23, 2024NimN

(1 min read)

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

(7 min read)

Oct 07, 2024On Numbers and Games, ConwayN

(10 min read)

Oct 01, 2024Mental CalculationN

(1 min read)

Oct 01, 2024The Doomsday AlgorithmN

(3 min read)

Oct 01, 2024Solving the Rubik's cubeN

(1 min read)

Sep 26, 2024All of historyN

(4 min read)

Sep 25, 2024Fruits of Solitude, PennN

(1 min read)

Sep 24, 2024Map and Territory, YudkowskyN

(2 min read)

Sep 21, 2024The Journal of John WoolmanN

(3 min read)

Sep 18, 2024The God Delusion, DawkinsN

(1 min read)

Sep 08, 2024The Autobiography of Benjamin FranklinN

(10 min read)

Sep 06, 2024The Harvard ClassicsN

(14 min read)

Sep 04, 2024There Is No Antimemetics Division, qntmN

(1 min read)

Sep 01, 2024Norway, MarchN

(10 min read)

Aug 31, 2024The Selfish Gene, DawkinsN

(1 min read)

Aug 15, 2024OptionalityN

(6 min read)

Aug 08, 2024A Mathematician's Apology, HardyN

(1 min read)

Aug 08, 2024The Book of Numbers, ConwayN

(11 min read)

Aug 08, 2024Mathematics for Finance, CapinskiN

(5 min read)

Jul 28, 2024The Road to Reality, PenroseN

(1 min read)

Jul 01, 2024Quantum Computing Since Democritus, AaronsonN

(26 min read)

May 01, 2024One Hundred Years of Solitude, MárquezN

(1 min read)

Mar 01, 202480,000 Hours, ToddN

(12 min read)

Mar 01, 2024The Alchemist, CoelhoN

(1 min read)

Feb 01, 2024Of Mice and Men, SteinbeckN

(1 min read)

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

(1 min read)

Feb 01, 2024Revenge, OgawaN

(1 min read)

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

(1 min read)

Jan 01, 2024Gone Girl, FlynnN

(1 min read)

Dec 01, 2023The MANIAC, LabatutN

(1 min read)

Nov 04, 2023Amusing Ourselves to Death, PostmanN

(1 min read)

Oct 01, 2023The Adventures of Sherlock Holmes, DoyleN

(3 min read)

Oct 01, 2023Flatland, AbbottN

(1 min read)

Oct 01, 2023Red Notice, BrowderN

(1 min read)

Oct 01, 2023Jury, MacRaeN

(2 min read)

Sep 01, 2023The Best of Roald DahlN

(4 min read)

Sep 01, 2023Math Games with Bad Drawings, OrlinN

(8 min read)

Sep 01, 2023Murder on the Orient Express, ChristieN

(1 min read)

Sep 01, 2023The Mysterious Affair at Styles, ChristieN

(1 min read)

Sep 01, 2023Norse Mythology, GaimanN

(14 min read)

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

(1 min read)

Sep 01, 2023Tools of Titans, FerrisN

(6 min read)

Sep 01, 2023Zero to One, ThielN

(3 min read)

Aug 03, 2023The Moscow Puzzles, KordemskyN

(2 min read)

Aug 01, 2023Love and Math, FrenkelN

(1 min read)

Mar 01, 2023Mythos, FryN

(11 min read)

Feb 15, 2023Fictions, BorgesN

(4 min read)

Feb 01, 2023What is ChatGPT Doing?, WolframN

(3 min read)

Jan 15, 2023The StrangerN

(1 min read)

Dec 30, 2022The TrialN

(1 min read)

Dec 28, 2022Capitalist RealismN

(2 min read)

Oct 20, 2022The PrecipiceN

(1 min read)

Oct 12, 2022How do undergraduates do mathematics?N

(4 min read)

Sep 04, 2022HaskellN

(3 min read)

Aug 25, 2022Mathematics for Machine LearningN

(1 min read)

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

(1 min read)

Jul 28, 2022The Elephant in the Brain, HansonN

(1 min read)

Jun 15, 2022Grelling-Nelson ParadoxN

(1 min read)

Apr 15, 2022ChessN

(2 min read)

Apr 15, 2022GamesN

(4 min read)

Apr 15, 2022BackgammonN

(8 min read)

Apr 14, 2022Conversion FactorsN

(2 min read)

Apr 10, 2022LondonN

(1 min read)

Apr 10, 2022OzymandiasN

(1 min read)

Mar 25, 2022Winning Ways for your Mathematical PlaysN

(5 min read)

Mar 20, 2022Genius At PlayN

(3 min read)

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

(6 min read)

Mar 07, 2022The Fascination of GroupsN

(25 min read)

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

(1 min read)

Mar 04, 2022APM - Q3 - Trig. integralsN

(2 min read)

Feb 17, 2022Good OmensN

(1 min read)

Feb 17, 2022Pale Blue DotN

(2 min read)

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

(1 min read)

Jan 17, 2022Harry Potter and the Chamber of SecretsN

(1 min read)

Jan 08, 2022The Metropolitan ManN

(1 min read)

Dec 26, 2021Atomic HabitsN

(48 min read)

Dec 16, 2021How To LiveN

(1 min read)

Nov 30, 2021APM QuestionsN

(1 min read)

Nov 29, 2021MAT QuestionsN

(5 min read)

Nov 29, 2021UKMT QuestionsN

(1 min read)

Nov 29, 2021Misc NotesN

(2 min read)

Nov 26, 2021The Mind's IN

(6 min read)

Nov 10, 2021Being YouN

(7 min read)

Nov 02, 2021MAT - Paper 2020 - Q2N

(1 min read)

Nov 02, 2021MAT - Paper 2019 - Q3N

(1 min read)

Nov 02, 2021MAT - Paper 2019 - Q2N

(1 min read)

Nov 02, 2021MAT - Paper 2019 - Q1HN

(1 min read)

Nov 02, 2021MAT - Paper 2019 - Q1FN

(2 min read)

Oct 31, 2021MAT - Specimen Paper 1 - Q1HN

(1 min read)

Oct 28, 2021MAT - Paper 2018 - Q6N

(2 min read)

Oct 28, 2021MAT - Paper 2018 - Q5N

(2 min read)

Oct 28, 2021MAT - Paper 2018 - Q3N

(1 min read)

Oct 27, 2021MAT - Paper 2018 - Q2N

(4 min read)

Oct 27, 2021MAT - Paper 2018 - Q1JN

(2 min read)

Oct 27, 2021MAT - Paper 2018 - Q1HN

(2 min read)

Oct 27, 2021MAT - Paper 2018 - Q1GN

(1 min read)

Oct 27, 2021MAT - Paper 2018 - Q1FN

(2 min read)

Oct 27, 2021MAT - Paper 2018 - Q1BN

(1 min read)

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

(2 min read)

Oct 23, 2021MAT - Paper 2017 - Q3N

(1 min read)

Oct 22, 2021MAT - Paper 2017 - Q2N

(2 min read)

Oct 22, 2021MAT - Paper 2017 - Q1IN

(1 min read)

Oct 22, 2021Game Theory As A Dark ArtN

(1 min read)

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

(3 min read)

Oct 14, 2021MAT - Paper 2007 - Q1FN

(1 min read)

Oct 14, 2021MAT - Paper 2007 - Q1DN

(3 min read)

Oct 14, 2021MAT - Paper 2009 - Q5N

(2 min read)

Oct 13, 2021MAT - Paper 2016 - Q6N

(1 min read)

Oct 13, 2021MAT - Paper 2016 - Q5N

(2 min read)

Oct 13, 2021MAT - Paper 2016 - Q3N

(2 min read)

Oct 13, 2021MAT - Paper 2016 - Q2N

(3 min read)

Oct 13, 2021MAT - Paper 2016 - Q1IN

(1 min read)

Oct 13, 2021MAT - Paper 2016 - Q1EN

(1 min read)

Oct 13, 2021MAT - Paper 2009 - Q3N

(3 min read)

Oct 13, 2021MAT - Paper 2008 - Q2N

(1 min read)

Oct 12, 2021MAT - Paper 2016 - Q1HN

(2 min read)

Oct 11, 2021HowlN

(5 min read)

Oct 10, 2021MAT - Paper 2015 - Q2N

(2 min read)

Oct 10, 2021MAT - Paper 2015 - Q1JN

(1 min read)

Oct 10, 2021MAT - Paper 2015 - Q1BN

(1 min read)

Oct 10, 2021MAT - Paper 2008 - Q1CN

(2 min read)

Oct 09, 2021RecklessnessN

(1 min read)

Oct 09, 2021Meditations on MolochN

(3 min read)

Oct 05, 2021Failing with AbandonN

(1 min read)

Oct 01, 2021IslandN

(1 min read)

Oct 01, 2021East of EdenN

(1 min read)

Oct 01, 2021Superintelligence, BostomN

(6 min read)

Oct 01, 2021Have no excusesN

(3 min read)

Oct 01, 2021The value of a lifeN

(3 min read)

Sep 18, 2021MAT - Paper 2014 - Q5N

(1 min read)

Sep 18, 2021MAT - Paper 2014 - Q3N

(3 min read)

Sep 18, 2021MAT - Paper 2014 - Q1JN

(2 min read)

Sep 18, 2021MAT - Paper 2014 - Q1EN

(2 min read)

Sep 18, 2021MAT - Paper 2014 - Q1DN

(2 min read)

Sep 08, 2021MAT - Paper 2013 - Q1IN

(2 min read)

Sep 08, 2021MAT - Paper 2013 - Q1HN

(3 min read)

Sep 07, 2021MAT - Paper 2013 - Q1GN

(1 min read)

Sep 07, 2021MAT - Paper 2013 - Q1FN

(3 min read)

Sep 07, 2021MAT - Paper 2013 - Q1CN

(2 min read)

Sep 02, 2021101 Famous PoemsN

(1 min read)

Aug 30, 2021In Flanders FieldsN

(2 min read)

Aug 16, 2021MAT - Paper 2012 - Q5N

(2 min read)

Aug 16, 2021Deep WorkN

(23 min read)

Aug 16, 2021The Unfolding of LanguageN

(11 min read)

Aug 15, 2021MAT - Paper 2012 - Q3N

(3 min read)

Aug 15, 2021MAT - Paper 2012 - Q2N

(2 min read)

Aug 14, 2021Decimal ExpansionsN

(3 min read)

Aug 13, 2021The Scout MindsetN

(45 min read)

Aug 13, 2021MAT - Paper 2012 - Q1JN

(1 min read)

Aug 13, 2021MAT - Paper 2012 - Q1GN

(2 min read)

Aug 12, 2021MAT - Paper 2011 - Q5N

(3 min read)

Aug 11, 2021MAT - Paper 2011 - Q3N

(4 min read)

Aug 11, 2021MAT - Paper 2011 - Q2N

(1 min read)

Aug 09, 2021MAT - Paper 2011 - Q1IN

(2 min read)

Aug 09, 2021MAT - Paper 2011 - Q1GN

(2 min read)

Aug 09, 2021MAT - Paper 2011 - Q1EN

(1 min read)

Aug 09, 2021MAT - Paper 2011 - Q1CN

(4 min read)

Aug 04, 2021MAT - Paper 2010 - Q7N

(1 min read)

Aug 04, 2021MAT - Paper 2010 - Q6N

(1 min read)

Aug 04, 2021MAT - Paper 2010 - Q5N

(1 min read)

Aug 04, 2021MAT - Paper 2010 - Q3N

(2 min read)

Jul 16, 2021Problem SolvingN

(1 min read)

Jul 12, 2021The Turing OmnibusN

(6 min read)

Jul 06, 2021Open Loops Trigger ListN

(4 min read)

Jul 05, 2021Body By ScienceN

(25 min read)

Jul 01, 2021Solving Mathematical Problems: A Personal PerspectiveN

(5 min read)

Jun 29, 2021How Your Car WorksN

(1 min read)

Jun 21, 2021Getting Things DoneN

(18 min read)

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

(8 min read)

Apr 18, 2021Algorithms to Live ByN

(5 min read)

Apr 04, 2021AIMA: PerceptionN

(3 min read)

Apr 04, 2021AIMA: Probabilistic Reasoning Over TimeN

(2 min read)

Apr 04, 2021AIMA: Probabilistic ReasoningN

(4 min read)

Apr 04, 2021AIMA: Knowledge RepresentationN

(5 min read)

Apr 04, 2021AIMA: Quantifying UncertaintyN

(10 min read)

Apr 04, 2021AIMA: Automated PlanningN

(2 min read)

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

(1 min read)

Apr 04, 2021AIMA: First-Order LogicN

(9 min read)

Apr 04, 2021AIMA: Logical AgentsN

(12 min read)

Apr 04, 2021AIMA: Adversarial Search and GamesN

(4 min read)

Apr 04, 2021AIMA: Search in Complex EnvironmentsN

(7 min read)

Apr 04, 2021AIMA: Constraint Satisfaction ProblemsN

(5 min read)

Apr 04, 2021AIMA: Solving Problems by SearchingN

(44 min read)

Apr 04, 2021AIMA: Intelligent AgentsN

(22 min read)

Apr 04, 2021AIMA: IntroductionN

(20 min read)

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

(1 min read)

Mar 21, 2021AI: A Modern ApproachN

(3 min read)

Mar 14, 2021Replacing GuiltN

(2 min read)

Mar 11, 2021Godel, Escher, BachN

(5 min read)

Feb 16, 2021Thinking, Fast and Slow: ConclusionN

(4 min read)

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

(15 min read)

Feb 16, 2021Thinking, Fast and Slow: ChoicesN

(52 min read)

Feb 16, 2021Thinking, Fast and Slow: OverconfidenceN

(31 min read)

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

(42 min read)

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

(48 min read)

Feb 16, 2021Thinking, Fast and Slow: IntroductionN

(6 min read)

Feb 16, 2021Thinking, Fast and SlowN

(5 min read)

Feb 10, 2021RationalizationN

(1 min read)

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

(1 min read)

Jan 08, 2021Cat's CradleN

(1 min read)

Dec 30, 2020The Count of Monte CristoN

(1 min read)

Dec 28, 2020The Planning FallacyN

(2 min read)

Dec 28, 2020Efficient Market HypothesisN

(2 min read)

Nov 29, 2020Roko's BasiliskN

(1 min read)

Nov 13, 2020Sum: Forty Tales from the AfterlivesN

(1 min read)

Sep 06, 2020Article - Augmenting Long-term MemoryN

(28 min read)

Sep 06, 2020Writing Good FlashcardsN

(4 min read)

Sep 01, 2020Polyphasic SleepingN

(1 min read)

Aug 25, 2020SparkN

(2 min read)

Aug 18, 2020InvictusN

(2 min read)

Aug 11, 2020FlowN

(3 min read)

Jul 28, 2020The Way of Kings, SandersonN

(1 min read)

Jul 28, 2020Words of Radiance, SandersonN

(1 min read)

Jul 28, 2020Anne of Green Gables, MontgomeryN

(1 min read)

Jul 28, 2020Lord of the Flies, GoldingN

(1 min read)

Jul 28, 2020Sapiens, HarariN

(1 min read)

Jul 28, 2019Stardust, GaimanN

(1 min read)

Jul 28, 2019Catch-22, HellerN

(1 min read)

Jul 28, 2019The Catcher in the Rye, SalingerN

(1 min read)

Jul 28, 20191984, OrwellN

(1 min read)

Jul 28, 2019Frankenstein, ShelleyN

(1 min read)

Jul 28, 2019Brave New WorldN

(2 min read)

Jul 28, 2019The Grapes of Wrath, SteinbeckN

(1 min read)

Jul 28, 2019To Kill a MockingbirdN

(1 min read)

Jul 28, 2019The Great GatsbyN

(1 min read)

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

(1 min read)

Jul 28, 2019Slaughterhouse 5N

(1 min read)

Jul 16, 2019Meditations, AureliusN

(1 min read)

University notes

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

(37 min read)

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

(36 min read)

May 18, 2026Notes - NLA MT25, Givens rotationsU

(4 min read)

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

(69 min read)

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

(6 min read)

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

(33 min read)

May 06, 2026Notes - NLA MT25, CUR approximationU

(56 min read)

May 05, 2026Notes - NLA MT25, PseudoinversesU

(11 min read)

May 05, 2026Notes - NLA MT25, HMT algorithmU

(24 min read)

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

(9 min read)

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

(43 min read)

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

(68 min read)

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

(63 min read)

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

(96 min read)

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

(18 min read)

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

(33 min read)

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

(17 min read)

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

(6 min read)

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

(2 min read)

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

(9 min read)

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

(5 min read)

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

(6 min read)

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

(22 min read)

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

(29 min read)

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

(64 min read)

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

(13 min read)

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

(58 min read)

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

(18 min read)

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

(6 min read)

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

(19 min read)

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

(7 min read)

Jan 19, 2026Course - Continuous Optimisation HT26U

(5 min read)

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

(31 min read)

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

(8 min read)

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

(7 min read)

Dec 04, 2025Notes - NLA MT25, Lanczos algorithmU

(16 min read)

Dec 03, 2025Notes - NLA MT25, Chebyshev polynomialsU

(8 min read)

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

(83 min read)

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

(22 min read)

Nov 21, 2025Notes - NLA MT25, GMRES algorithmU

(60 min read)

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

(20 min read)

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

(10 min read)

Nov 20, 2025Notes - NLA MT25, QR algorithmU

(8 min read)

Nov 20, 2025Notes - NLA MT25, Power methodU

(6 min read)

Nov 20, 2025Notes - NLA MT25, Schur decompositionU

(27 min read)

Nov 20, 2025Notes - NLA MT25, Eigenvalue problemsU

(10 min read)

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

(1 min read)

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

(4 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(25 min read)

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

(51 min read)

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

(45 min read)

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

(28 min read)

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

(23 min read)

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

(37 min read)

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

(40 min read)

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

(2 min read)

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

(1 min read)

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

(2 min read)

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

(48 min read)

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

(36 min read)

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

(2 min read)

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

(15 min read)

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

(29 min read)

Nov 11, 2025Notes - Computer Vision MT25, VideoU

(26 min read)

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

(3 min read)

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

(14 min read)

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

(22 min read)

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

(23 min read)

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

(42 min read)

Nov 07, 2025Notes - Computer Vision MT25, SegmentationU

(34 min read)

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

(33 min read)

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

(3 min read)

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

(5 min read)

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

(6 min read)

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

(21 min read)

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

(34 min read)

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

(15 min read)

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

(26 min read)

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

(3 min read)

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

(8 min read)

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

(2 min read)

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

(3 min read)

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

(1 min read)

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

(13 min read)

Oct 27, 2025Notes - Computer Vision MT25, DropoutU

(6 min read)

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

(23 min read)

Oct 24, 2025Notes - NLA MT25, Numerical stabilityU

(45 min read)

Oct 24, 2025Notes - NLA MT25, Linear systemsU

(8 min read)

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

(16 min read)

Oct 24, 2025Notes - NLA MT25, QR factorisationU

(25 min read)

Oct 24, 2025Notes - NLA MT25, Cholesky factorisationU

(40 min read)

Oct 24, 2025Notes - NLA MT25, LU factorisationU

(29 min read)

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

(2 min read)

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

(3 min read)

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

(2 min read)

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

(2 min read)

Oct 21, 2025Notes - Probability MT22, Random samplesU

(4 min read)

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

(3 min read)

Oct 21, 2025Notes - Probability MT22, Branching processesU

(4 min read)

Oct 21, 2025Notes - Probability MT22, MomentsU

(1 min read)

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

(5 min read)

Oct 21, 2025Notes - Probability MT22, Recurrence relationsU

(5 min read)

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

(4 min read)

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

(3 min read)

Oct 21, 2025Notes - Probability MT22, Partition theoremU

(3 min read)

Oct 21, 2025Notes - Probability MT22, Basic definitionsU

(6 min read)

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

(48 min read)

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

(19 min read)

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

(5 min read)

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

(4 min read)

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

(3 min read)

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

(14 min read)

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

(4 min read)

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

(3 min read)

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

(7 min read)

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

(2 min read)

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

(1 min read)

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

(4 min read)

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

(20 min read)

Oct 17, 2025Notes - Computer Vision MT25, CorrespondencesU

(10 min read)

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

(36 min read)

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

(29 min read)

Oct 15, 2025Notes - Computer Vision MT25, ConvolutionsU

(9 min read)

Oct 15, 2025Notes - Computer Vision MT25, FilteringU

(14 min read)

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

(27 min read)

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

(11 min read)

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

(14 min read)

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

(9 min read)

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

(6 min read)

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

(1 min read)

Oct 14, 2025Notes - NLA MT25, Eigenvalue decompositionU

(11 min read)

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

(11 min read)

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

(38 min read)

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

(31 min read)

Oct 13, 2025Notes - NLA MT25, Useful miscellanyU

(17 min read)

Oct 13, 2025Notes - NLA MT25, SubspacesU

(6 min read)

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

(23 min read)

Oct 13, 2025Notes - NLA MT25, Structured matricesU

(16 min read)

Oct 10, 2025Course - Geometric Deep Learning HT26U

(2 min read)

Oct 10, 2025Course - Probability MT25U

(1 min read)

Oct 09, 2025Course - Uncertainty in Deep Learning MT25U

(3 min read)

Oct 09, 2025Course - Computer Vision MT25U

(6 min read)

Oct 09, 2025Course - Theories of Deep Learning MT25U

(6 min read)

Oct 09, 2025Course - Numerical Linear Algebra MT25U

(5 min read)

Oct 09, 2025Courses HT26U

(1 min read)

Oct 09, 2025Courses MT25U

(1 min read)

Oct 09, 2025Part CU

(1 min read)

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

(23 min read)

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

(3 min read)

May 21, 2025Notes - Computational Complexity HT25, DiagonalisationU

(5 min read)

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

(21 min read)

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

(6 min read)

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

(6 min read)

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

(10 min read)

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

(31 min read)

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

(7 min read)

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

(4 min read)

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

(3 min read)

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

(5 min read)

Apr 28, 2025Notes - Computer Security MT24, FrameworksU

(19 min read)

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

(5 min read)

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

(6 min read)

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

(5 min read)

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

(6 min read)

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

(9 min read)

Mar 27, 2025Notes - Galois Theory HT25, NormalityU

(13 min read)

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

(2 min read)

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

(4 min read)

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

(17 min read)

Mar 13, 2025Notes - Computational Complexity HT25, ApproximationU

(18 min read)

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

(6 min read)

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

(7 min read)

Mar 08, 2025Notes - Set Theory HT25, ChoiceU

(8 min read)

Mar 08, 2025Notes - Set Theory HT25, FoundationU

(6 min read)

Mar 04, 2025Notes - Set Theory HT25, ReplacementU

(18 min read)

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

(4 min read)

Mar 03, 2025Notes - Computational Complexity HT25, RandomnessU

(37 min read)

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

(114 min read)

Feb 25, 2025Notes - Computational Complexity HT25, CircuitsU

(25 min read)

Feb 20, 2025Notes - Set Theory HT25, OrdinalsU

(10 min read)

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

(11 min read)

Feb 19, 2025Notes - Set Theory HT25, CardinalitiesU

(28 min read)

Feb 19, 2025Notes - Set Theory HT25, ClassesU

(4 min read)

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

(12 min read)

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

(49 min read)

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

(28 min read)

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

(8 min read)

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

(23 min read)

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

(6 min read)

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

(17 min read)

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

(9 min read)

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

(18 min read)

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

(16 min read)

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

(21 min read)

Feb 06, 2025Notes - Set Theory HT25, FunctionsU

(4 min read)

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

(16 min read)

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

(7 min read)

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

(30 min read)

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

(54 min read)

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

(27 min read)

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

(15 min read)

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

(4 min read)

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

(7 min read)

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

(3 min read)

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

(4 min read)

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

(8 min read)

Jan 20, 2025Course - Optimisation for Data Science HT25U

(3 min read)

Jan 20, 2025Course - Set Theory HT25U

(2 min read)

Jan 15, 2025Course - Computational Complexity HT25U

(6 min read)

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

(2 min read)

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

(8 min read)

Jan 10, 2025Notes - Computer Security MT24, RC4U

(6 min read)

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

(3 min read)

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

(13 min read)

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

(2 min read)

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

(3 min read)

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

(9 min read)

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

(5 min read)

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

(3 min read)

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

(4 min read)

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

(2 min read)

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

(15 min read)

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

(9 min read)

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

(5 min read)

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

(11 min read)

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

(36 min read)

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

(57 min read)

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

(2 min read)

Jan 01, 2025Notes - Logic MT24, Compactness theoremsU

(12 min read)

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

(11 min read)

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

(49 min read)

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

(8 min read)

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

(6 min read)

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

(21 min read)

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

(8 min read)

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

(11 min read)

Nov 22, 2024Notes - Logic MT24, AxiomatisationsU

(2 min read)

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

(16 min read)

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

(33 min read)

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

(30 min read)

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

(12 min read)

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

(12 min read)

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

(18 min read)

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

(6 min read)

Nov 17, 2024Notes - Computer Security MT24, ProtocolsU

(25 min read)

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

(39 min read)

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

(15 min read)

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

(14 min read)

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

(25 min read)

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

(9 min read)

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

(22 min read)

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

(21 min read)

Nov 10, 2024Notes - Galois Theory HT25, GroupsU

(16 min read)

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

(4 min read)

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

(13 min read)

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

(37 min read)

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

(62 min read)

Nov 05, 2024Notes - Artificial Intelligence MT24, RobotsU

(14 min read)

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

(61 min read)

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

(10 min read)

Nov 03, 2024Notes - Computer Security MT24, MACsU

(17 min read)

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

(2 min read)

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

(7 min read)

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

(3 min read)

Nov 03, 2024Notes - Computer Security MT24, RSAU

(36 min read)

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

(6 min read)

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

(2 min read)

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

(14 min read)

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

(2 min read)

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

(11 min read)

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

(20 min read)

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

(2 min read)

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

(3 min read)

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

(37 min read)

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

(27 min read)

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

(37 min read)

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

(35 min read)

Oct 28, 2024Notes - Galois Theory HT25, SeparabilityU

(22 min read)

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

(53 min read)

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

(34 min read)

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

(19 min read)

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

(7 min read)

Oct 27, 2024Notes - Artificial Intelligence MT24, PlanningU

(18 min read)

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

(8 min read)

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

(22 min read)

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

(14 min read)

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

(3 min read)

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

(55 min read)

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

(27 min read)

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

(10 min read)

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

(9 min read)

Oct 20, 2024Notes - Computer Security MT24, DESU

(4 min read)

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

(7 min read)

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

(6 min read)

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

(33 min read)

Oct 20, 2024Notes - Computer Security MT24, AttacksU

(9 min read)

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

(6 min read)

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

(26 min read)

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

(12 min read)

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

(6 min read)

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

(1 min read)

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

(17 min read)

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

(24 min read)

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

(2 min read)

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

(19 min read)

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

(1 min read)

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

(6 min read)

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

(8 min read)

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

(12 min read)

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

(9 min read)

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

(19 min read)

Oct 11, 2024Course - Galois Theory HT25U

(5 min read)

Oct 11, 2024Course - Logic and Proof MT24U

(6 min read)

Oct 11, 2024Courses HT25U

(1 min read)

Oct 11, 2024Course - Computer Security MT24U

(4 min read)

Oct 11, 2024Course - Artificial Intelligence MT24U

(5 min read)

Oct 11, 2024Course - Logic MT24U

(2 min read)

Oct 11, 2024Part BU

(1 min read)

Oct 11, 2024Courses MT24U

(1 min read)

Jul 28, 2024University NotesU

(7 min read)

Jul 07, 2024Notes - Linear Algebra MT22, MiscU

(6 min read)

Jul 07, 2024Notes - Functional Programming MT22, MiscU

(16 min read)

Jul 07, 2024Notes - Analysis I MT22, MiscU

(5 min read)

Jul 07, 2024Course - Ethics and Responsible Innovation MT22U

(2 min read)

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

(2 min read)

Jul 07, 2024Notes - Analysis II HT23, MiscU

(1 min read)

Jul 07, 2024Notes - Imperative Programming HT23, MiscU

(2 min read)

Jul 07, 2024Notes - Continuous Mathematics HT23, MiscU

(4 min read)

Jul 07, 2024Notes - Imperative Programming TT23, MiscU

(3 min read)

Jun 23, 2024Part AU

(1 min read)

Jun 23, 2024PrelimsU

(2 min read)

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

(35 min read)

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

(9 min read)

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

(16 min read)

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

(6 min read)

Jun 17, 2024Notes - Numerical Analysis HT24, MiscU

(4 min read)

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

(6 min read)

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

(5 min read)

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

(4 min read)

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

(24 min read)

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

(3 min read)

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

(3 min read)

May 12, 2024Notes - Machine Learning MT23, ParadigmsU

(3 min read)

May 07, 2024Notes - Linear Algebra MT23, MiscU

(1 min read)

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

(9 min read)

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

(2 min read)

May 03, 2024Notes - ADS HT24, Randomised roundingU

(32 min read)

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

(7 min read)

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

(5 min read)

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

(12 min read)

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

(4 min read)

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

(31 min read)

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

(8 min read)

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

(5 min read)

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

(4 min read)

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

(6 min read)

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

(8 min read)

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

(16 min read)

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

(7 min read)

Apr 06, 2024Notes - Quantum Information HT24, MiscU

(2 min read)

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

(4 min read)

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

(3 min read)

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

(3 min read)

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

(7 min read)

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

(15 min read)

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

(6 min read)

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

(4 min read)

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

(9 min read)

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

(10 min read)

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

(16 min read)

Feb 28, 2024Notes - ADS HT24, Colour codingU

(8 min read)

Feb 28, 2024Notes - ADS HT24, KernelisationU

(30 min read)

Feb 28, 2024Notes - ADS HT24, Parameterised complexityU

(11 min read)

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

(27 min read)

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

(28 min read)

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

(11 min read)

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

(9 min read)

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

(32 min read)

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

(29 min read)

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

(20 min read)

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

(6 min read)

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

(27 min read)

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

(24 min read)

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

(13 min read)

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

(20 min read)

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

(7 min read)

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

(20 min read)

Feb 17, 2024Notes - ADS HT24, Approximation algorithmsU

(26 min read)

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

(39 min read)

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

(27 min read)

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

(5 min read)

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

(21 min read)

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

(5 min read)

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

(9 min read)

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

(24 min read)

Feb 11, 2024Notes - Numerical Analysis HT24, QuadratureU

(24 min read)

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

(22 min read)

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

(18 min read)

Feb 08, 2024Notes - ADS HT24, Linear programmingU

(45 min read)

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

(13 min read)

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

(20 min read)

Feb 03, 2024Notes - ADS HT24, CirculationsU

(16 min read)

Feb 03, 2024Notes - ADS HT24, MatchingU

(40 min read)

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

(15 min read)

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

(25 min read)

Jan 31, 2024Notes - Complex Analysis MT23, MiscU

(9 min read)

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

(4 min read)

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

(17 min read)

Jan 25, 2024Notes - Numerical Analysis HT24, EigenvaluesU

(7 min read)

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

(30 min read)

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

(9 min read)

Jan 24, 2024Notes - ADS HT24, Flow networksU

(50 min read)

Jan 23, 2024Notes - ADS HT24, Splay treesU

(24 min read)

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

(18 min read)

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

(3 min read)

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

(22 min read)

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

(16 min read)

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

(8 min read)

Jan 19, 2024Notes - ADS HT24, Disjoint setsU

(19 min read)

Jan 19, 2024Notes - ADS HT24, Amortized analysisU

(26 min read)

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

(8 min read)

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

(11 min read)

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

(4 min read)

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

(10 min read)

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

(5 min read)

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

(7 min read)

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

(20 min read)

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

(6 min read)

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

(23 min read)

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

(22 min read)

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

(8 min read)

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

(9 min read)

Jan 15, 2024Notes - Quantum Information HT24, QubitsU

(3 min read)

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

(7 min read)

Jan 11, 2024Course - Algorithms and Data Structures HT24U

(3 min read)

Jan 11, 2024Course - Quantum Information HT24U

(4 min read)

Jan 11, 2024Course - Numerical Analysis HT24U

(4 min read)

Jan 11, 2024Course - Rings and Modules HT24U

(4 min read)

Jan 02, 2024Notes - Machine Learning MT23, ClusteringU

(4 min read)

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

(13 min read)

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

(23 min read)

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

(23 min read)

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

(14 min read)

Dec 21, 2023Lecture - Machine Learning MT23, XVIU

(1 min read)

Dec 21, 2023Lecture - Machine Learning MT23, XVIIU

(1 min read)

Dec 21, 2023Lecture - Machine Learning MT23, XVIIIU

(1 min read)

Dec 21, 2023Lecture - Machine Learning MT23, XVU

(1 min read)

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

(28 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(19 min read)

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

(6 min read)

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

(9 min read)

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

(17 min read)

Dec 19, 2023Lecture - Linear Algebra MT23, XVIU

(1 min read)

Dec 19, 2023Lecture - Linear Algebra MT23, XVU

(1 min read)

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

(4 min read)

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

(13 min read)

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

(12 min read)

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

(10 min read)

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

(9 min read)

Dec 14, 2023Lecture - Machine Learning MT23, XIXU

(1 min read)

Dec 14, 2023Lecture - Machine Learning MT23, XXU

(1 min read)

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

(42 min read)

Nov 23, 2023Notes - Linear Algebra MT23, AdjointsU

(32 min read)

Nov 23, 2023Lecture - Linear Algebra MT23, XIVU

(1 min read)

Nov 23, 2023Notes - Linear Algebra MT23, AnnihilatorsU

(24 min read)

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

(12 min read)

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

(5 min read)

Nov 23, 2023Lecture - Linear Algebra MT23, XIIIU

(1 min read)

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

(8 min read)

Nov 23, 2023Lecture - Linear Algebra MT23, XIIU

(1 min read)

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

(6 min read)

Nov 19, 2023Notes - Complex Analysis MT23, HomotopiesU

(4 min read)

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

(8 min read)

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

(24 min read)

Nov 15, 2023Notes - Machine Learning MT23, ClassificationU

(13 min read)

Nov 15, 2023Notes - Machine Learning MT23, KernelsU

(6 min read)

Nov 15, 2023Notes - Machine Learning MT23, OptimisationU

(10 min read)

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

(47 min read)

Nov 15, 2023Lecture - Machine Learning MT23, XIVU

(1 min read)

Nov 13, 2023Lecture - Linear Algebra MT23, XIU

(1 min read)

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

(12 min read)

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

(21 min read)

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

(15 min read)

Nov 10, 2023Lecture - Linear Algebra MT23, XU

(1 min read)

Nov 10, 2023Lecture - Linear Algebra MT23, IXU

(1 min read)

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

(14 min read)

Nov 10, 2023Lecture - Machine Learning MT23, XIIIU

(1 min read)

Nov 10, 2023Lecture - Machine Learning MT23, XIIU

(1 min read)

Nov 10, 2023Lecture - Machine Learning MT23, XIU

(1 min read)

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

(1 min read)

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

(1 min read)

Nov 10, 2023Lecture - Complex Analysis MT23, VU

(1 min read)

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

(14 min read)

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

(20 min read)

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

(1 min read)

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

(15 min read)

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

(11 min read)

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

(10 min read)

Nov 02, 2023Lecture - Machine Learning MT23, XU

(1 min read)

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

(7 min read)

Nov 02, 2023Lecture - Complex Analysis MT23, IVU

(1 min read)

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

(15 min read)

Nov 02, 2023Lecture - Linear Algebra MT23, VIIIU

(1 min read)

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

(22 min read)

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

(1 min read)

Oct 31, 2023Lecture - Complex Analysis MT23, IIIU

(1 min read)

Oct 31, 2023Lecture - Complex Analysis MT23, IIU

(1 min read)

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

(18 min read)

Oct 31, 2023Lecture - Linear Algebra MT23, VIIU

(1 min read)

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

(1 min read)

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

(30 min read)

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

(5 min read)

Oct 29, 2023Lecture - Machine Learning MT23, IXU

(1 min read)

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

(5 min read)

Oct 27, 2023Lecture - Machine Learning MT23, VIIIU

(1 min read)

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

(29 min read)

Oct 26, 2023Lecture - Machine Learning MT23, VIIU

(1 min read)

Oct 26, 2023Lecture - Complex Analysis MT23, IU

(1 min read)

Oct 26, 2023Lecture - Metric Spaces MT23, XIIU

(1 min read)

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

(8 min read)

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

(3 min read)

Oct 26, 2023Lecture - Linear Algebra MT23, VIU

(1 min read)

Oct 25, 2023Lecture - Metric Spaces MT23, XIU

(1 min read)

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

(8 min read)

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

(1 min read)

Oct 24, 2023Lecture - Linear Algebra MT23, VU

(1 min read)

Oct 24, 2023Lecture - Metric Spaces MT23, XU

(1 min read)

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

(10 min read)

Oct 23, 2023Lecture - Machine Learning MT23, VIU

(1 min read)

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

(2 min read)

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

(11 min read)

Oct 23, 2023Lecture - Metric Spaces MT23, IXU

(1 min read)

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

(9 min read)

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

(9 min read)

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

(1 min read)

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

(6 min read)

Oct 22, 2023Lecture - Machine Learning MT23, VU

(1 min read)

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

(5 min read)

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

(3 min read)

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

(2 min read)

Oct 22, 2023Lecture - Machine Learning MT23, IVU

(1 min read)

Oct 22, 2023Notes - Machine Learning MT23, PerceptronsU

(2 min read)

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

(8 min read)

Oct 19, 2023Lecture - Linear Algebra MT23, IVU

(1 min read)

Oct 19, 2023Lecture - Metric Spaces MT23, VIIIU

(1 min read)

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

(1 min read)

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

(1 min read)

Oct 18, 2023Lecture - Metric Spaces MT23, VIIU

(1 min read)

Oct 17, 2023Notes - Machine Learning MT23, MiscU

(1 min read)

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

(4 min read)

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

(26 min read)

Oct 17, 2023Lecture - Machine Learning MT23, IIIU

(1 min read)

Oct 17, 2023Lecture - Machine Learning MT23, IU

(1 min read)

Oct 17, 2023Lecture - Machine Learning MT23, IIU

(1 min read)

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

(16 min read)

Oct 17, 2023Lecture - Linear Algebra MT23, IIIU

(1 min read)

Oct 17, 2023Lecture - Metric Spaces MT23, VIU

(1 min read)

Oct 17, 2023Notes - Metric Spaces MT23, EquivalenceU

(1 min read)

Oct 17, 2023Lecture - Metric Spaces MT23, VU

(1 min read)

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

(15 min read)

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

(1 min read)

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

(2 min read)

Oct 12, 2023Notes - Linear Algebra MT23, RingsU

(12 min read)

Oct 12, 2023Lecture - Linear Algebra MT23, IIU

(1 min read)

Oct 12, 2023Lecture - Metric Spaces MT23, IVU

(1 min read)

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

(16 min read)

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

(2 min read)

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

(1 min read)

Oct 11, 2023Lecture - Metric Spaces MT23, IIIU

(1 min read)

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

(9 min read)

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

(26 min read)

Oct 10, 2023Lecture - Metric Spaces MT23, IIU

(1 min read)

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

(2 min read)

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

(1 min read)

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

(8 min read)

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

(1 min read)

Oct 09, 2023Lecture - Metric Spaces MT23, IU

(1 min read)

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

(1 min read)

Oct 09, 2023Notes - Linear Algebra MT23, HomomorphismsU

(1 min read)

Oct 09, 2023Notes - Linear Algebra MT23, FieldsU

(4 min read)

Oct 09, 2023Lecture - Linear Algebra MT23, IU

(1 min read)

Sep 24, 2023Course - Models of Computation MT23U

(4 min read)

Sep 24, 2023Course - Machine Learning MT23U

(5 min read)

Sep 24, 2023Course - Linear Algebra MT23U

(4 min read)

Sep 24, 2023Courses HT24U

(1 min read)

Sep 04, 2023Notes - Complex Analysis MT23, LogarithmsU

(3 min read)

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

(6 min read)

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

(26 min read)

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

(31 min read)

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

(19 min read)

Sep 02, 2023Notes - Complex Analysis MT23, GeometryU

(4 min read)

Sep 02, 2023Notes - Complex Analysis MT23, DomainsU

(1 min read)

Aug 28, 2023Course - Complex Analysis MT23U

(5 min read)

Aug 28, 2023Notes - Metric Spaces MT23, CompactnessU

(24 min read)

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

(10 min read)

Aug 28, 2023Notes - Metric Spaces MT23, ConnectednessU

(18 min read)

Jul 31, 2023Notes - Metric Spaces MT23, ContractionsU

(10 min read)

Jul 31, 2023Notes - Metric Spaces MT23, CompletenessU

(10 min read)

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

(7 min read)

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

(9 min read)

Jul 30, 2023Notes - Metric Spaces MT23, NeighbourhoodsU

(1 min read)

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

(12 min read)

Jul 21, 2023Notes - Metric Spaces MT23, HomeomorphismsU

(2 min read)

Jul 21, 2023Notes - Metric Spaces MT23, IsometriesU

(2 min read)

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

(3 min read)

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

(6 min read)

Jul 20, 2023Notes - Metric Spaces MT23, BoundednessU

(3 min read)

Jul 20, 2023Notes - Metric Spaces MT23, BallsU

(2 min read)

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

(7 min read)

Jul 20, 2023Notes - Metric Spaces MT23, SubspacesU

(2 min read)

Jul 19, 2023Notes - Metric Spaces MT23, ExamplesU

(5 min read)

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

(9 min read)

Jul 19, 2023Course - Metric Spaces MT23U

(4 min read)

Jul 19, 2023Courses MT23U

(1 min read)

Jun 21, 2023Notes - Probability MT22, Random variablesU

(25 min read)

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

(9 min read)

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

(1 min read)

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

(3 min read)

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

(3 min read)

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

(3 min read)

Jun 11, 2023List of algorithms to memorise for DAAU

(2 min read)

Jun 08, 2023Notes - Imperative Programming TT23, GUIsU

(3 min read)

Jun 01, 2023Notes - Probability MT22, MiscU

(4 min read)

May 31, 2023The Most Important Proofs in Prelims AlgebraU

(8 min read)

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

(5 min read)

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

(4 min read)

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

(4 min read)

May 29, 2023The Most Important Proofs in Prelims AnalysisU

(12 min read)

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

(6 min read)

May 25, 2023Lecture - Groups TT23, VIIIU

(1 min read)

May 25, 2023Notes - Groups TT23, Class equationU

(2 min read)

May 25, 2023Lecture - Groups TT23, VIIU

(1 min read)

May 25, 2023Notes - Groups TT23, Counting orbitsU

(5 min read)

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

(1 min read)

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

(2 min read)

May 25, 2023Lecture - Analysis III TT23, VIIIU

(1 min read)

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

(1 min read)

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

(5 min read)

May 25, 2023Lecture - Analysis III TT23, VIIU

(1 min read)

May 23, 2023Notes - DAA HT23, Spanning treesU

(8 min read)

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

(3 min read)

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

(3 min read)

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

(8 min read)

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

(23 min read)

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

(4 min read)

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

(3 min read)

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

(9 min read)

May 19, 2023Lecture - Imperative Programming TT23, XIU

(4 min read)

May 18, 2023Lecture - Imperative Programming TT23, XU

(5 min read)

May 15, 2023Lecture - Imperative Programming TT23, IXU

(1 min read)

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

(4 min read)

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

(3 min read)

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

(2 min read)

May 12, 2023Lecture - Analysis III TT23, VIU

(1 min read)

May 12, 2023Lecture - Imperative Programming TT23, VIIIU

(2 min read)

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

(5 min read)

May 12, 2023Lecture - Analysis III TT23, VU

(1 min read)

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

(5 min read)

May 12, 2023Notes - Groups TT23, Classifying groupsU

(4 min read)

May 12, 2023Lecture - Groups TT23, VIU

(1 min read)

May 11, 2023Lecture - Imperative Programming TT23, VIIU

(3 min read)

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

(1 min read)

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

(10 min read)

May 08, 2023Notes - Groups TT23, Group actionsU

(2 min read)

May 08, 2023Lecture - Groups TT23, VU

(1 min read)

May 08, 2023Lecture - Groups TT23, IIIU

(1 min read)

May 08, 2023Lecture - Groups TT23, IVU

(1 min read)

May 08, 2023Lecture - Imperative Programming TT23, VIU

(1 min read)

May 07, 2023Lecture - Imperative Programming TT23, VU

(6 min read)

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

(1 min read)

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

(7 min read)

May 04, 2023Lecture - Imperative Programming TT23, IVU

(7 min read)

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

(4 min read)

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

(2 min read)

May 03, 2023Lecture - Analysis III TT23, IVU

(1 min read)

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

(3 min read)

May 03, 2023Lecture - Analysis III TT23, IIIU

(1 min read)

May 02, 2023Notes - Imperative Programming TT23, EqualityU

(1 min read)

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

(3 min read)

May 02, 2023Lecture - Imperative Programming TT23, IIIU

(4 min read)

Apr 28, 2023Lecture - Imperative Programming TT23, IIU

(4 min read)

Apr 28, 2023Notes - Groups TT23, Quotient groupsU

(4 min read)

Apr 28, 2023Notes - Groups HT23, Normal subgroupsU

(7 min read)

Apr 28, 2023Lecture - Groups TT23, IIU

(1 min read)

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

(1 min read)

Apr 27, 2023Lecture - Groups TT23, IU

(1 min read)

Apr 27, 2023Course - Groups and Group Actions TT23U

(2 min read)

Apr 27, 2023Course - Imperative Programming III TT23U

(2 min read)

Apr 27, 2023Lecture - Imperative Programming TT23, IU

(7 min read)

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

(13 min read)

Apr 26, 2023Lecture - Analysis III TT23, IIU

(1 min read)

Apr 24, 2023Notes - Imperative Programming HT23, TestingU

(1 min read)

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

(8 min read)

Apr 24, 2023Lecture - Analysis III TT23, IU

(1 min read)

Apr 24, 2023Course - Analysis III TT23U

(3 min read)

Apr 24, 2023Courses TT23U

(1 min read)

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

(4 min read)

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

(1 min read)

Mar 23, 2023Notes - DAA HT23, MatroidsU

(1 min read)

Mar 23, 2023Notes - DAA HT23, Disjoint setsU

(6 min read)

Mar 23, 2023Notes - DAA HT23, Greedy algorithmsU

(1 min read)

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

(6 min read)

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

(8 min read)

Mar 15, 2023Notes - Groups HT23, CosetsU

(3 min read)

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

(5 min read)

Mar 15, 2023Notes - Groups HT23, Modular arithmeticU

(8 min read)

Mar 15, 2023Notes - Groups HT23, Equivalence relationsU

(2 min read)

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

(4 min read)

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

(1 min read)

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

(4 min read)

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

(4 min read)

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

(1 min read)

Mar 14, 2023Lecture - Analysis II HT23, XIVU

(1 min read)

Mar 14, 2023Lecture - Analysis II HT23, XVU

(1 min read)

Mar 14, 2023Lecture - Analysis II HT23, XIIIU

(1 min read)

Mar 14, 2023Lecture - Imperative Programming HT23, XXU

(1 min read)

Mar 14, 2023Lecture - Imperative Programming HT23, XIXU

(1 min read)

Mar 14, 2023Lecture - Imperative Programming HT23, XVIIU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XIIIU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XIVU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XIIU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XVIU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XVU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XIU

(1 min read)

Mar 14, 2023Lecture - DAA HT23, XU

(1 min read)

Mar 03, 2023Lecture - Imperative Programming HT23, XVIIIU

(1 min read)

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

(1 min read)

Feb 27, 2023Lecture - Analysis II HT23, XIIU

(1 min read)

Feb 27, 2023Notes - Analysis II HT23, Constancy theoremU

(2 min read)

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

(13 min read)

Feb 27, 2023Lecture - Continuous Mathematics HT23, XIIU

(1 min read)

Feb 27, 2023Lecture - Continuous Mathematics HT23, XIU

(1 min read)

Feb 27, 2023Notes - Analysis II HT23, ExtremaU

(5 min read)

Feb 27, 2023Lecture - Analysis II HT23, XIU

(1 min read)

Feb 24, 2023Lecture - Imperative Programming HT23, XVIU

(1 min read)

Feb 24, 2023Notes - Groups HT23, PermutationsU

(20 min read)

Feb 22, 2023Lecture - Imperative Programming HT23, XVU

(1 min read)

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

(1 min read)

Feb 19, 2023Lecture - Analysis II HT23, XU

(1 min read)

Feb 17, 2023Notes - Groups HT23, HomomorphismsU

(13 min read)

Feb 17, 2023Notes - Groups HT23, Cayley tablesU

(2 min read)

Feb 17, 2023Notes - Groups HT23, Cyclic groupsU

(6 min read)

Feb 17, 2023Notes - Groups HT23, Special groupsU

(4 min read)

Feb 17, 2023Notes - Groups HT23, SubgroupsU

(5 min read)

Feb 17, 2023Notes - Analysis II HT23, DifferentitationU

(14 min read)

Feb 17, 2023Lecture - Analysis II HT23, IXU

(1 min read)

Feb 17, 2023Lecture - Imperative Programming HT23, XIVU

(2 min read)

Feb 16, 2023Lecture - Continuous Mathematics HT23, XU

(1 min read)

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

(7 min read)

Feb 16, 2023Lecture - DAA HT23, IXU

(1 min read)

Feb 16, 2023Lecture - DAA HT23, VIIIU

(1 min read)

Feb 16, 2023Notes - DAA HT23, GraphsU

(9 min read)

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

(1 min read)

Feb 16, 2023Notes - DAA HT23, Dynamic programmingU

(18 min read)

Feb 16, 2023Lecture - DAA HT23, VIIU

(1 min read)

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

(2 min read)

Feb 16, 2023Notes - Imperative Programming HT23, ScalaU

(1 min read)

Feb 16, 2023Lecture - Imperative Programming HT23, XIIIU

(1 min read)

Feb 16, 2023Lecture - Imperative Programming HT23, XIIU

(1 min read)

Feb 16, 2023Lecture - Imperative Programming HT23, XIU

(1 min read)

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

(6 min read)

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

(3 min read)

Feb 16, 2023Lecture - Imperative Programming HT23, XU

(1 min read)

Feb 16, 2023Notes - Groups HT23, Group axiomsU

(8 min read)

Feb 08, 2023Lecture - Imperative Programming HT23, IXU

(1 min read)

Feb 08, 2023Lecture - Analysis II HT23, VIIIU

(1 min read)

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

(5 min read)

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

(2 min read)

Feb 07, 2023Lecture - Analysis II HT23, VIIU

(1 min read)

Feb 07, 2023Lecture - Continuous Mathematics HT23, IXU

(1 min read)

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

(36 min read)

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

(1 min read)

Feb 07, 2023Notes - Linear Algebra II HT23, Spectral TheoremU

(21 min read)

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

(1 min read)

Feb 06, 2023Lecture - Imperative Programming HT23, VIIIU

(1 min read)

Feb 06, 2023Lecture - Imperative Programming HT23, VIIU

(1 min read)

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

(9 min read)

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

(1 min read)

Feb 02, 2023Notes - Continuous Mathematics HT23, ConvergenceU

(4 min read)

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

(3 min read)

Feb 02, 2023Notes - Continuous Mathematics HT23, ErrorU

(5 min read)

Feb 02, 2023Lecture - Continuous Mathematics HT23, VIIIU

(1 min read)

Feb 02, 2023Notes - DAA HT23, HeapsU

(11 min read)

Feb 02, 2023Lecture - DAA HT23, VIU

(1 min read)

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

(7 min read)

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

(4 min read)

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

(3 min read)

Feb 02, 2023Lecture - Analysis II HT23, VIU

(1 min read)

Feb 01, 2023Lecture - Analysis II HT23, VU

(1 min read)

Feb 01, 2023Notes - Analysis II HT23, IntervalsU

(3 min read)

Feb 01, 2023Lecture - Imperative Programming HT23, VIU

(1 min read)

Feb 01, 2023Lecture - DAA HT23, VU

(1 min read)

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

(11 min read)

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

(1 min read)

Jan 30, 2023Lecture - Continuous Mathematics HT23, VIIU

(1 min read)

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

(3 min read)

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

(5 min read)

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

(7 min read)

Jan 30, 2023Lecture - Analysis II HT23, IVU

(1 min read)

Jan 28, 2023Lecture - Imperative Programming HT23, VU

(1 min read)

Jan 28, 2023Lecture - Imperative Programming HT23, IVU

(1 min read)

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

(5 min read)

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

(21 min read)

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

(1 min read)

Jan 28, 2023Notes - DAA HT23, SortingU

(5 min read)

Jan 28, 2023Notes - Continuous Mathematics HT23, ConvexityU

(10 min read)

Jan 28, 2023Lecture - Continuous Mathematics HT23, VIU

(1 min read)

Jan 27, 2023Notes - DAA HT23, Order statisticsU

(3 min read)

Jan 27, 2023Lecture - DAA HT23, IVU

(1 min read)

Jan 26, 2023Notes - DAA HT23, The AlgorithmsU

(1 min read)

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

(8 min read)

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

(1 min read)

Jan 24, 2023Notes - Analysis II HT23, ContinuityU

(4 min read)

Jan 24, 2023Lecture - Analysis II HT23, IIIU

(1 min read)

Jan 24, 2023Notes - Probability MT22, ExpectationsU

(11 min read)

Jan 24, 2023Notes - Continuous Mathematics HT23, DefinitenessU

(7 min read)

Jan 24, 2023Lecture - Continuous Mathematics HT23, VU

(1 min read)

Jan 23, 2023Lecture - Imperative Programming HT23, IIIU

(1 min read)

Jan 23, 2023Notes - Imperative Programming HT23, InvariantsU

(5 min read)

Jan 23, 2023Lecture - Imperative Programming HT23, IIU

(1 min read)

Jan 23, 2023Notes - Continuous Mathematics HT23, OptimisationU

(45 min read)

Jan 23, 2023Lecture - Continuous Mathematics HT23, IVU

(1 min read)

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

(6 min read)

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

(7 min read)

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

(1 min read)

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

(7 min read)

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

(2 min read)

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

(1 min read)

Jan 19, 2023Lecture - Continuous Mathematics HT23, IIIU

(1 min read)

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

(5 min read)

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

(1 min read)

Jan 18, 2023Lecture - Analysis II HT23, IIU

(1 min read)

Jan 18, 2023Lecture - Imperative Programming, IU

(1 min read)

Jan 17, 2023Notes - Continuous Mathematics HT23, DerivativesU

(12 min read)

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

(8 min read)

Jan 17, 2023Lecture - Continuous Mathematics HT23, IIU

(1 min read)

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

(1 min read)

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

(13 min read)

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

(2 min read)

Jan 17, 2023Lecture - Analysis II HT23, IU

(1 min read)

Jan 16, 2023Lecture - Continuous Mathematics HT23, IU

(1 min read)

Jan 16, 2023Notes - Continuous Mathematics HT23, ContinuityU

(5 min read)

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

(1 min read)

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

(18 min read)

Jan 14, 2023Course - Linear Algebra II HT23U

(3 min read)

Jan 14, 2023Course - Groups and Group Actions HT23U

(2 min read)

Jan 14, 2023Course - Analysis II HT23U

(4 min read)

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

(4 min read)

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

(4 min read)

Jan 14, 2023Course - Continuous Mathematics HT23U

(3 min read)

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

(2 min read)

Jan 12, 2023Proofs - Functional Programming MT22U

(1 min read)

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

(2 min read)

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

(6 min read)

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

(8 min read)

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

(5 min read)

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

(4 min read)

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

(3 min read)

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

(9 min read)

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

(8 min read)

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

(18 min read)

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

(7 min read)

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

(5 min read)

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

(6 min read)

Jan 05, 2023Notes - Probability MT22, DistributionsU

(24 min read)

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

(1 min read)

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

(3 min read)

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

(2 min read)

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

(1 min read)

Jan 03, 2023Proofs - Analysis I MT22U

(14 min read)

Jan 03, 2023Proofs - Linear Algebra I MT22U

(7 min read)

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

(4 min read)

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

(7 min read)

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

(2 min read)

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

(3 min read)

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

(1 min read)

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

(2 min read)

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

(2 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(4 min read)

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

(1 min read)

Dec 14, 2022Lecture - Probability, XVIU

(1 min read)

Dec 13, 2022Lecture - Analysis MT22, XVU

(3 min read)

Dec 13, 2022Lecture - Functional Programming MT22, XVIU

(1 min read)

Dec 13, 2022Lecture - Functional Programming MT22, XVU

(1 min read)

Dec 13, 2022Lecture - Probability, XVU

(1 min read)

Dec 13, 2022Lecture - Analysis MT22, XIVU

(7 min read)

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

(8 min read)

Dec 06, 2022Lecture - Linear Algebra MT22, XIIIU

(5 min read)

Dec 05, 2022Course - Introduction to Complex Numbers MT22U

(1 min read)

Dec 05, 2022Courses HT22U

(1 min read)

Nov 26, 2022Lecture - Functional Programming MT22, XIVU

(1 min read)

Nov 26, 2022Lecture - Functional Programming MT22, XIIIU

(1 min read)

Nov 26, 2022Lecture - Functional Programming MT22, XIIU

(1 min read)

Nov 26, 2022Lecture - Linear Algebra MT22, XIIU

(7 min read)

Nov 26, 2022Lecture - Analysis MT22, XIIIU

(5 min read)

Nov 26, 2022Lecture - Analysis MT22, XIIU

(6 min read)

Nov 26, 2022Lecture - Probability, XIVU

(1 min read)

Nov 26, 2022Lecture - Probability, XIIIU

(1 min read)

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

(1 min read)

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

(5 min read)

Nov 24, 2022Lecture - Linear Algebra MT22, XIU

(5 min read)

Nov 22, 2022Problem Sheet - Analysis MT22, VIU

(1 min read)

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

(7 min read)

Nov 19, 2022Lecture - Linear Algebra MT22, XU

(6 min read)

Nov 19, 2022Lecture - Linear Algebra MT22, IXU

(5 min read)

Nov 19, 2022Lecture - Probability MT22, XIIU

(1 min read)

Nov 19, 2022Lecture - Probability MT22, XIU

(1 min read)

Nov 19, 2022Lecture - Analysis MT22, XIU

(10 min read)

Nov 19, 2022Lecture - Analysis MT22, XU

(9 min read)

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

(2 min read)

Nov 15, 2022Lecture - Functional Programming MT22, XIU

(4 min read)

Nov 11, 2022Lecture - Analysis MT22, IXU

(2 min read)

Nov 11, 2022Lecture - Probability, XU

(1 min read)

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

(2 min read)

Nov 10, 2022Lecture - Linear Algebra MT22, VIIIU

(4 min read)

Nov 10, 2022Lecture - Linear Algebra MT22, VIIU

(4 min read)

Nov 10, 2022Lecture - Analysis MT22, VIIIU

(5 min read)

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

(4 min read)

Nov 08, 2022Lecture - Probability MT22, IXU

(1 min read)

Nov 05, 2022Lecture - Functional Programming MT22, VIU

(1 min read)

Nov 05, 2022Lecture - Linear Algebra MT22, VIU

(6 min read)

Nov 05, 2022Lecture - Linear Algebra MT22, VU

(2 min read)

Nov 05, 2022Lecture - Analysis VIIU

(8 min read)

Nov 05, 2022Lecture - Analysis VIU

(6 min read)

Nov 05, 2022Lecture - Probability MT22, VIIIU

(1 min read)

Nov 05, 2022Lecture - Analysis MT22, VU

(4 min read)

Nov 01, 2022Lecture - Analysis MT22, IVU

(1 min read)

Nov 01, 2022Lecture - Probability MT22, VIIU

(1 min read)

Nov 01, 2022Lecture - Probability MT22, VIU

(1 min read)

Oct 30, 2022Lecture - Functional Programming MT22, IIIU

(1 min read)

Oct 30, 2022Lecture - Functional Programming MT22, IU

(1 min read)

Oct 28, 2022Lecture - Linear Algebra MT22, IVU

(3 min read)

Oct 25, 2022Lecture - Linear Algebra MT22, IIIU

(6 min read)

Oct 24, 2022Lecture - Functional Programming MT22, VU

(1 min read)

Oct 24, 2022Lecture - Probability MT22, VU

(1 min read)

Oct 23, 2022Lecture - Probability MT22, IVU

(1 min read)

Oct 23, 2022Lecture - Analysis MT22, IIIU

(4 min read)

Oct 20, 2022Lecture - Linear Algebra MT22, IIU

(1 min read)

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

(2 min read)

Oct 20, 2022Courses MT22U

(1 min read)

Oct 18, 2022Lecture - Linear Algebra MT22, IU

(3 min read)

Oct 18, 2022Course - Linear Algebra MT22U

(4 min read)

Oct 17, 2022Lecture - Functional Programming MT22, IIU

(1 min read)

Oct 17, 2022Course - Functional Programming MT22U

(4 min read)

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

(7 min read)

Oct 17, 2022Course - Analysis MT22U

(4 min read)

Oct 17, 2022Lecture - Probability, Lecture 3U

(1 min read)

Oct 17, 2022Lecture - Probability, Lecture 2U

(1 min read)

Oct 17, 2022Course - ProbabilityU

(4 min read)

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

(1 min read)

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

(7 min read)

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

(6 min read)

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

(4 min read)

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

(4 min read)

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

(5 min read)

Oct 07, 2022Lecture - Probability, Lecture 1U

(2 min read)

Oct 07, 2022Course - Introduction to University MathematicsU

(2 min read)

A-level notes

Oct 01, 2025Maths - VectorsA

(1 min read)

Oct 01, 2025Mechanics - PulleysA

(1 min read)

Jun 08, 2022Further Maths - MiscA

(1 min read)

May 19, 2022Further Maths - Derivatives Cheat SheetA

(4 min read)

May 11, 2022Computing - MiscA

(8 min read)

Apr 28, 2022Physics - MagnetismA

(24 min read)

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

(6 min read)

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

(9 min read)

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

(21 min read)

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

(17 min read)

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

(17 min read)

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

(10 min read)

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

(14 min read)

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

(16 min read)

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

(9 min read)

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

(14 min read)

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

(14 min read)

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

(21 min read)

Apr 05, 2022Physics - Medical ImagingA

(38 min read)

Mar 30, 2022Further Maths - Complex SumsA

(6 min read)

Mar 30, 2022Further Maths - Simplex AlgorithmA

(19 min read)

Mar 28, 2022Physics - Nuclear PhysicsA

(13 min read)

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

(18 min read)

Mar 22, 2022Further Maths - Linear ProgrammingA

(6 min read)

Mar 22, 2022Physics - CapacitanceA

(16 min read)

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

(15 min read)

Mar 16, 2022Computing - Storage DevicesA

(7 min read)

Mar 16, 2022Further Maths - Planarity AlgorithmA

(4 min read)

Mar 15, 2022Further Maths - Floyd's AlgorithmA

(4 min read)

Mar 10, 2022Further Maths - Simple Harmonic MotionA

(9 min read)

Mar 01, 2022Physics - Electric FieldsA

(14 min read)

Feb 17, 2022Further Maths - Crticial Path AnalysisA

(21 min read)

Feb 10, 2022Physics - RadioactivityA

(37 min read)

Feb 08, 2022Physics - CosmologyA

(25 min read)

Feb 07, 2022Maths - Numerical MethodsA

(8 min read)

Feb 07, 2022Physics - Beta DecayA

(8 min read)

Feb 07, 2022Mechanics - Further KinematicsA

(1 min read)

Jan 31, 2022Physics - Standard ModelA

(16 min read)

Jan 26, 2022Physics - Black-Body CurvesA

(9 min read)

Jan 25, 2022Physics - Hertzsprung-Russell DiagramsA

(5 min read)

Jan 25, 2022Further Maths - Cross ProductA

(31 min read)

Jan 20, 2022Physics - The Nuclear AtomA

(14 min read)

Jan 19, 2022Further Maths - Reducible Differential EquationsA

(9 min read)

Jan 18, 2022Physics - Objects in the UniverseA

(6 min read)

Jan 18, 2022Physics - Stellar EvolutionA

(21 min read)

Dec 08, 2021Further Maths - Numerical MethodsA

(11 min read)

Dec 08, 2021Physics - Gravitational PotentialA

(4 min read)

Dec 06, 2021Physics - SatellitesA

(3 min read)

Dec 05, 2021Further Maths - LimitsA

(2 min read)

Dec 05, 2021Maths - Superposition of Sine and CosA

(3 min read)

Dec 01, 2021Further Maths - Taylor SeriesA

(5 min read)

Dec 01, 2021Further Maths - Weierstrass SubstitutionA

(4 min read)

Dec 01, 2021Physics - Kepler's LawsA

(5 min read)

Nov 29, 2021A-Level NotesA

(3 min read)

Nov 26, 2021Further Maths - Travelling Salesperson ProblemA

(21 min read)

Nov 25, 2021Stats - Conditional ProbabilityA

(6 min read)

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

(5 min read)

Nov 24, 2021Further Maths - Leibnitz's TheoremA

(3 min read)

Nov 20, 2021Mechanics - FrictionA

(3 min read)

Nov 20, 2021Mechanics - Forces on SlopesA

(2 min read)

Nov 18, 2021Physics - Gravitational FieldsA

(7 min read)

Nov 17, 2021Further Maths - Route InspectionA

(4 min read)

Nov 15, 2021Further Maths - Dijkstra's AlgorithmA

(6 min read)

Nov 09, 2021Physics - Ideal GasesA

(14 min read)

Nov 09, 2021Further Maths - Polar CoordinatesA

(18 min read)

Nov 09, 2021Maths - Small Angle ApproximationsA

(2 min read)

Nov 08, 2021Further Maths - Prim's AlgorithmA

(2 min read)

Nov 08, 2021Physics - MolesA

(6 min read)

Nov 07, 2021Further Maths - Kruskal's AlgorithmA

(4 min read)

Nov 04, 2021Further Maths - Eulerian TrailsA

(6 min read)

Nov 04, 2021Further Maths - Hamiltonian CyclesA

(2 min read)

Oct 20, 2021Mechanics - MomentsA

(3 min read)

Oct 13, 2021Further Maths - GraphsA

(12 min read)

Oct 12, 2021Further Maths - Bin-packingA

(4 min read)

Oct 12, 2021Further Maths - ShuttlesortA

(4 min read)

Oct 10, 2021Further Maths - BubblesortA

(2 min read)

Oct 09, 2021Further Maths - T-formulaeA

(4 min read)

Oct 09, 2021Maths - Recurrence RelationsA

(3 min read)

Oct 06, 2021Physics - OscillationsA

(16 min read)

Oct 05, 2021Maths - Parametric EquationsA

(2 min read)

Oct 05, 2021Further Maths - Conic SectionsA

(22 min read)

Oct 05, 2021Further Maths - InequalitiesA

(1 min read)

Sep 30, 2021Computing - AbstractionA

(1 min read)

Sep 18, 2021Maths - SeriesA

(4 min read)

Sep 10, 2021Further Maths - Coupled Differential EquationsA

(3 min read)

Sep 07, 2021Maths - ModulusA

(2 min read)

Sep 06, 2021Physics - Thermal PhysicsA

(25 min read)

Sep 03, 2021Physics - Circular MotionA

(13 min read)

Aug 09, 2021Maths - Interval NotationA

(4 min read)

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

(10 min read)

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

(12 min read)

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

(18 min read)

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

(7 min read)

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

(6 min read)

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

(8 min read)

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

(7 min read)

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

(9 min read)

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

(3 min read)

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

(14 min read)

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

(9 min read)

Jul 07, 2021Maths - MiscA

(7 min read)

Jul 05, 2021Maths - Compound FunctionsA

(2 min read)

Jul 05, 2021Physics - SpectraA

(8 min read)

Jul 05, 2021Maths - Functions and MappingsA

(4 min read)

Jun 17, 2021Physics - Standing WavesA

(11 min read)

Jun 13, 2021CTMUAA

(10 min read)

Jun 09, 2021Physics - Wave-Particle DualityA

(5 min read)

Jun 06, 2021Maths - ProofA

(1 min read)

Jun 06, 2021Maths - Proof by ContradictionA

(2 min read)

May 25, 2021Further Maths - Differential EquationsA

(14 min read)

May 25, 2021Physics - SuperpositionA

(9 min read)

May 25, 2021Stats - Normal DistributionA

(5 min read)

May 24, 2021Physics - The Photoelectric EffectA

(11 min read)

May 24, 2021Physics - Electromagnetic RadiationA

(3 min read)

May 24, 2021Physics - Quantum PhysicsA

(1 min read)

May 06, 2021Maths - Integration by PartsA

(2 min read)

May 05, 2021Physics - Potential DividersA

(2 min read)

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

(3 min read)

Apr 28, 2021Computing - Limits of ComputationA

(2 min read)

Apr 27, 2021Computing - Searching GraphsA

(2 min read)

Apr 27, 2021Further Maths - Improper IntegralsA

(3 min read)

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

(1 min read)

Apr 21, 2021Physics - Internal ResistanceA

(3 min read)

Apr 19, 2021Computing - RecursionA

(1 min read)

Mar 29, 2021Physics - Young's ModulusA

(8 min read)

Mar 29, 2021Maths - Integration by SubstitutionA

(5 min read)

Mar 25, 2021Physics - Electromagnetic WavesA

(4 min read)

Mar 24, 2021Maths - Factor TheoremA

(2 min read)

Mar 23, 2021Maths - Quotient RuleA

(2 min read)

Mar 22, 2021Maths - Algebraic Long DivisionA

(1 min read)

Mar 18, 2021Physics - IntensityA

(4 min read)

Mar 18, 2021Physics - PolarisationA

(5 min read)

Mar 16, 2021Stats - Hypothesis TestingA

(10 min read)

Mar 15, 2021Further Maths - Hyperbolic FunctionsA

(17 min read)

Mar 12, 2021Computing - Big DataA

(3 min read)

Mar 11, 2021Computing - Functional ProgrammingA

(4 min read)

Mar 11, 2021Physics - DiffractionA

(5 min read)

Mar 04, 2021Further Maths - Roots of Complex NumbersA

(10 min read)

Mar 03, 2021Further Maths - Trig Equations with Complex NumbersA

(6 min read)

Mar 02, 2021Computing - Client & Server ModelA

(2 min read)

Mar 01, 2021Maths - Binomial TheoremA

(8 min read)

Feb 25, 2021Physics - Reflection and RefractionA

(11 min read)

Feb 25, 2021Physics - OscilloscopesA

(1 min read)

Feb 22, 2021Computing - TCP/IP StackA

(19 min read)

Feb 22, 2021Maths - Circle TheoremsA

(4 min read)

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

(5 min read)

Feb 20, 2021Maths - Reciprocal Trig FunctionsA

(4 min read)

Feb 11, 2021Computing - Network HardwareA

(6 min read)

Feb 10, 2021Computing - Structure of the InternetA

(9 min read)

Feb 09, 2021Further Maths - Maclaurin SeriesA

(12 min read)

Feb 09, 2021Maths - Product RuleA

(5 min read)

Feb 08, 2021Computing - Social and Legal ChallengesA

(2 min read)

Feb 08, 2021Physics - Thermistors and LDRsA

(5 min read)

Feb 05, 2021Maths - CirclesA

(1 min read)

Feb 05, 2021Computing - Thick and Thin ClientsA

(5 min read)

Feb 05, 2021Computing - Cloud ComputingA

(1 min read)

Feb 04, 2021Computing - WiFiA

(4 min read)

Feb 04, 2021Physics - WavesA

(17 min read)

Feb 04, 2021Stats - Binomial DistributionA

(16 min read)

Feb 03, 2021Maths - Chain RuleA

(6 min read)

Feb 01, 2021Computing - TopologiesA

(8 min read)

Feb 01, 2021Maths - ExponentialsA

(12 min read)

Jan 29, 2021Physics - ResistivityA

(8 min read)

Jan 28, 2021Computing - CommunicationA

(22 min read)

Jan 27, 2021Further Maths - Partial FractionsA

(14 min read)

Jan 27, 2021Computing - NetworkingA

(14 min read)

Jan 27, 2021Maths - Sketching Gradient FunctionsA

(5 min read)

Jan 27, 2021Maths - Modelling with DifferentiationA

(4 min read)

Jan 26, 2021Further Maths - The Method of DifferencesA

(7 min read)

Jan 26, 2021Stats - Statistical DistributionsA

(9 min read)

Jan 22, 2021Computing - Syntax DiagramsA

(4 min read)

Jan 22, 2021Computing - ParsingA

(1 min read)

Jan 20, 2021Physics - Resistance and Ohm's LawA

(12 min read)

Jan 19, 2021Computing - Backus-Naur FormA

(6 min read)

Jan 18, 2021Physics - Voltage and Potential DifferenceA

(11 min read)

Jan 15, 2021Computing - Reverse Polish NotationA

(9 min read)

Jan 14, 2021Further Maths - Dot ProductA

(8 min read)

Jan 14, 2021Further Maths - Vector Equation of a PlaneA

(20 min read)

Jan 13, 2021Computing - Turing MachinesA

(11 min read)

Jan 12, 2021Physics - Collisions in 2DA

(7 min read)

Jan 12, 2021Computing - Regular LanguagesA

(1 min read)

Jan 12, 2021Stats - ProbabilityA

(6 min read)

Jan 11, 2021Further Maths - Vector Equation of a LineA

(32 min read)

Jan 11, 2021Further Maths - VectorsA

(16 min read)

Jan 11, 2021Computing - Regular ExpressionsA

(3 min read)

Jan 08, 2021Physics - Electron Drift VelocityA

(11 min read)

Jan 07, 2021Computing - SetsA

(10 min read)

Jan 06, 2021Maths - TransformationsA

(9 min read)

Jan 06, 2021Physics - CircuitsA

(10 min read)

Jan 06, 2021Physics - Charge and CurrentA

(14 min read)

Jan 05, 2021Computing - Finite State MachinesA

(8 min read)

Jan 05, 2021Further Maths - Induction for MatricesA

(1 min read)

Jan 05, 2021Further Maths - Induction for DivisibilityA

(5 min read)

Jan 05, 2021Mechanics - Forces and MotionA

(7 min read)

Dec 10, 2020Stats - CorrelationA

(12 min read)

Dec 10, 2020Further Maths - Induction for SeriesA

(4 min read)

Dec 10, 2020Further Maths - InductionA

(5 min read)

Dec 08, 2020Computing - Object Oriented ProgrammingA

(10 min read)

Dec 07, 2020Maths - IndicesA

(1 min read)

Dec 03, 2020Maths - CASTA

(4 min read)

Dec 03, 2020Physics - MomentumA

(7 min read)

Nov 30, 2020Computing - Input & Output DevicesA

(8 min read)

Nov 30, 2020Maths - Trigonometry IdentitiesA

(6 min read)

Nov 30, 2020Physics - Elastic Potential EnergyA

(4 min read)

Nov 25, 2020Maths - Multiple Trig SolutionsA

(8 min read)

Nov 24, 2020Further Maths - Linear TransformationsA

(35 min read)

Nov 24, 2020Computing - DatabasesA

(16 min read)

Nov 23, 2020Physics - PowerA

(5 min read)

Nov 23, 2020Physics - EnergyA

(5 min read)

Nov 23, 2020Physics - Work DoneA

(2 min read)

Nov 23, 2020Computing - SQLA

(21 min read)

Nov 20, 2020Maths - Cosine RuleA

(8 min read)

Nov 19, 2020Maths - Angle FactsA

(4 min read)

Nov 19, 2020Further Maths - Regions in the Argand DiagramA

(2 min read)

Nov 18, 2020Maths - BearingsA

(2 min read)

Nov 18, 2020Maths - Sine RuleA

(5 min read)

Nov 17, 2020Stats - HistogramsA

(3 min read)

Nov 16, 2020Physics - Hooke's LawA

(15 min read)

Nov 12, 2020Stats - Cumulative FrequencyA

(4 min read)

Nov 11, 2020Further Maths - Loci in the Argand DiagramA

(20 min read)

Nov 11, 2020Further Maths - Odd and Even FunctionsA

(3 min read)

Nov 11, 2020Physics - Archimedes' PrincipleA

(8 min read)

Nov 11, 2020Maths - RegionsA

(1 min read)

Nov 09, 2020Computing - VectorsA

(7 min read)

Nov 09, 2020Physics - PressureA

(7 min read)

Nov 09, 2020Further Maths - Trigonometry ValuesA

(15 min read)

Nov 06, 2020Computing - TreesA

(11 min read)

Nov 05, 2020Further Maths - Polar FormA

(18 min read)

Nov 05, 2020Computing - GraphsA

(9 min read)

Nov 04, 2020Maths - InequalitiesA

(3 min read)

Nov 03, 2020Stats - OutliersA

(3 min read)

Nov 03, 2020Computing - Hash TablesA

(5 min read)

Nov 02, 2020Maths - Set Notation for InequalitiesA

(3 min read)

Oct 24, 2020Physics - DensityA

(1 min read)

Oct 24, 2020Maths - DiscriminantA

(6 min read)

Oct 24, 2020Maths - Simultaneous EquationsA

(1 min read)

Oct 23, 2020Computing - StacksA

(3 min read)

Oct 22, 2020Stats - CodingA

(6 min read)

Oct 22, 2020Computing - Number SystemsA

(2 min read)

Oct 20, 2020Physics - ProjectilesA

(7 min read)

Oct 19, 2020Further Maths - Roots of PolynomialsA

(31 min read)

Oct 19, 2020Maths - Quadratic ModellingA

(1 min read)

Oct 17, 2020Physics - EquilibriumA

(2 min read)

Oct 16, 2020Computing - EncryptionA

(6 min read)

Oct 16, 2020Computing - CompressionA

(3 min read)

Oct 15, 2020Computing - MIDIA

(2 min read)

Oct 15, 2020Computing - SoundA

(6 min read)

Oct 14, 2020Further Maths - RadiansA

(5 min read)

Oct 14, 2020Maths - Completing the SquareA

(1 min read)

Oct 13, 2020Physics - Calculating Acceleration Due To GravityA

(10 min read)

Oct 13, 2020Computing - ImagesA

(6 min read)

Oct 12, 2020Physics - MomentsA

(5 min read)

Oct 12, 2020Computing - The ProcessorA

(16 min read)

Oct 11, 2020Maths - QuarticsA

(2 min read)

Oct 11, 2020Physics - Free FallA

(7 min read)

Oct 08, 2020Stats - Median, Quartiles and PercentilesA

(9 min read)

Oct 08, 2020Physics - Stopping DistancesA

(8 min read)

Oct 08, 2020Further Maths - Volumes of RevolutionsA

(10 min read)

Oct 06, 2020Maths - DifferentiationA

(24 min read)

Oct 06, 2020Maths - IntegrationA

(17 min read)

Oct 06, 2020Mechanics - SUVAT EquationsA

(3 min read)

Oct 06, 2020Computing - BinaryA

(30 min read)

Oct 06, 2020Computing - Data RepresentationA

(1 min read)

Oct 05, 2020Physics - MiscA

(12 min read)

Oct 05, 2020Maths - Sketching GraphsA

(4 min read)

Oct 04, 2020Computing - QueuesA

(13 min read)

Oct 03, 2020Physics - Force and NewtonsA

(20 min read)

Oct 03, 2020Maths - Quadratics Tips and TricksA

(4 min read)

Oct 02, 2020Computing - AQA AssemblyA

(19 min read)

Oct 01, 2020Further Maths - Solving Systems of Equations Using Triangle MethodA

(3 min read)

Oct 01, 2020Physics - SUVAT EquationsA

(6 min read)

Sep 30, 2020Computing - Harvard vs Von Neumann ArchitectureA

(3 min read)

Sep 29, 2020Stats - Large Data SetsA

(16 min read)

Sep 29, 2020Stats - Data CollectionA

(5 min read)

Sep 28, 2020Computing - Computer Organisation and ArchitectureA

(14 min read)

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

(12 min read)

Sep 25, 2020Further Maths - Inverting MatricesA

(11 min read)

Sep 25, 2020Further Maths - DeterminantsA

(8 min read)

Sep 24, 2020Computing - Little Man ComputerA

(10 min read)

Sep 23, 2020Further Maths - MatricesA

(17 min read)

Sep 23, 2020Maths - Proof Roots of Primes are IrrationalA

(7 min read)

Sep 23, 2020Maths - SurdsA

(3 min read)

Sep 22, 2020Physics - SyllabusA

(8 min read)

Sep 22, 2020Mechanics - VectorsA

(4 min read)

Sep 21, 2020Physics - Resolving VectorsA

(6 min read)

Sep 21, 2020Physics - Combining VectorsA

(3 min read)

Sep 21, 2020Maths - Quadratic and Straight Line IntersectionsA

(3 min read)

Sep 21, 2020Maths - Linear ModelsA

(4 min read)

Sep 21, 2020Maths - Triangles in a Co-ordinate SystemA

(3 min read)

Sep 21, 2020Further Maths - Series Tips and TricksA

(2 min read)

Sep 21, 2020Computing - Programming LanguagesA

(12 min read)

Sep 17, 2020Physics - Galileo's Slope ExperimentA

(6 min read)

Sep 16, 2020Further Maths - Sums of CubesA

(2 min read)

Sep 16, 2020Further Maths - Sums of SquaresA

(2 min read)

Sep 16, 2020Computing - LibrariesA

(2 min read)

Sep 15, 2020Stats - Populations and SamplingA

(22 min read)

Sep 14, 2020Computing - Translators and Machine CodeA

(2 min read)

Sep 14, 2020Computing - Hardware and SoftwareA

(15 min read)

Sep 14, 2020Further Maths - Sums of Natural NumbersA

(3 min read)

Sep 14, 2020Further Maths - SeriesA

(10 min read)

Sep 13, 2020Maths - Straight Line GraphsA

(5 min read)

Sep 13, 2020Physics - UncertaintyA

(5 min read)

Sep 11, 2020Physics - Vernier Callipers and MicrometersA

(4 min read)

Sep 11, 2020Stats - Variance and Standard DeviationA

(4 min read)

Sep 10, 2020Stats - MeanA

(4 min read)

Sep 10, 2020Stats - MeasuresA

(2 min read)

Sep 10, 2020Stats - NotationA

(1 min read)

Sep 10, 2020Physics - Vectors and ScalarsA

(7 min read)

Sep 08, 2020Mechanics - ForcesA

(6 min read)

Sep 08, 2020Mechanics - ModelsA

(19 min read)

Sep 08, 2020Computing - Boolean AlgebraA

(11 min read)

Sep 07, 2020Further Maths - Argand DiagramsA

(4 min read)

Sep 07, 2020Further Maths - ConjugatesA

(6 min read)

Sep 07, 2020Physics - Units and PrefixesA

(17 min read)

Sep 07, 2020Computing - Logic GatesA

(15 min read)

Sep 05, 2020Computing - SyllabusA

(7 min read)

Sep 05, 2020Further Maths - SyllabusA

(6 min read)

Sep 05, 2020Maths - SyllabusA

(6 min read)

Sep 04, 2020Computing - Operating SystemsA

(10 min read)

Sep 03, 2020Further Maths - CubicsA

(1 min read)

Sep 03, 2020Further Maths - Complex NumbersA

(12 min read)