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 [[Explore]]M and [[Study]]M.


Non-university notes

Sep 30, 2025 [[Why We Sleep, Walker]]N

(1 min read)

Sep 30, 2025 [[The Three-Body Problem, Liu]]N

(1 min read)

Sep 30, 2025 [[Beggar-My-Neighbour]]N

(1 min read)

Sep 30, 2025 [[The Confessions, Augustine]]N

(1 min read)

Sep 30, 2025 [[How To Change Your Mind, Pollan]]N

(1 min read)

Sep 30, 2025 [[Crime and Punishment, Dostoyevsky]]N

(1 min read)

Sep 30, 2025 [[Paradise Regained, Milton]]N

(1 min read)

Sep 30, 2025 [[Thinking Functionally With Haskell, Bird]]N

(1 min read)

Sep 30, 2025 [[Problems]]N

(1 min read)

Sep 30, 2025 [[Textbooks]]N

(1 min read)

Aug 10, 2025 [[Essays, Emerson]]N

(1 min read)

Feb 04, 2025 [[Paradise Lost, Milton]]N

(2 min read)

Jan 10, 2025 [[The Ascent of Money, Ferguson]]N

(1 min read)

Jan 09, 2025 [[Religio Medici, Browne]]N

(1 min read)

Jan 09, 2025 [[Complete Poems, Milton]]N

(2 min read)

Jan 08, 2025 [[Paper - Mastering the Game of Go with Deep Neural Networks and Tree Search]]N

(3 min read)

Jan 08, 2025 [[Papers]]N

(1 min read)

Dec 31, 2024 [[Areopagitica, Milton]]N

(1 min read)

Dec 31, 2024 [[Tractate of Education, Milton]]N

(1 min read)

Dec 30, 2024 [[Plainsong, Haruf]]N

(1 min read)

Dec 30, 2024 [[At the Mountains of Madness, Lovecraft]]N

(1 min read)

Dec 30, 2024 [[New Atlantis, Bacon]]N

(1 min read)

Dec 22, 2024 [[Essays, Bacon]]N

(1 min read)

Dec 22, 2024 [[Anatomy of the State, Rothbard]]N

(1 min read)

Dec 22, 2024 [[Blood Meridian, McCarthy]]N

(1 min read)

Dec 22, 2024 [[The Torah]]N

(1 min read)

Dec 02, 2024 [[Double-ended colourful Nim]]N

(3 min read)

Nov 25, 2024 [[The Golden Sayings, Epictetus]]N

(1 min read)

Oct 30, 2024 [[Algebra, Artin]]N

(15 min read)

Oct 28, 2024 [[Abstract Algebra, Judson]]N

(23 min read)

Oct 27, 2024 [[Colourful Nim]]N

(1 min read)

Oct 26, 2024 [[Tic-Tac-Toe]]N

(1 min read)

Oct 26, 2024 [[Ski Jumps]]N

(1 min read)

Oct 23, 2024 [[Nim]]N

(1 min read)

Oct 12, 2024 [[The Trial and Death of Socrates, Plato]]N

(8 min read)

Oct 07, 2024 [[On Numbers and Games, Conway]]N

(9 min read)

Oct 01, 2024 [[Mental Calculation]]N

(1 min read)

Oct 01, 2024 [[The Doomsday Algorithm]]N

(2 min read)

Oct 01, 2024 [[Solving the Rubik's cube]]N

(1 min read)

Sep 25, 2024 [[Some Fruits of Solitude, Penn]]N

(1 min read)

Sep 24, 2024 [[Map and Territory, Yudkowsky]]N

(2 min read)

Sep 21, 2024 [[The Journal of John Woolman]]N

(3 min read)

Sep 18, 2024 [[The God Delusion, Dawkins]]N

(1 min read)

Sep 08, 2024 [[The Autobiography of Benjamin Franklin]]N

(11 min read)

Sep 06, 2024 [[The Harvard Classics]]N

(20 min read)

Sep 04, 2024 [[There Is No Antimemetics Division, qntm]]N

(1 min read)

Sep 01, 2024 [[Norway, March]]N

(10 min read)

Aug 31, 2024 [[The Selfish Gene, Dawkins]]N

(1 min read)

Aug 15, 2024 [[Optionality, Meadows]]N

(5 min read)

Aug 08, 2024 [[A Mathematician's Apology, Hardy]]N

(1 min read)

Aug 08, 2024 [[The Book of Numbers, Conway]]N

(11 min read)

Aug 08, 2024 [[Mathematics for Finance, Capinski]]N

(5 min read)

Jul 28, 2024 [[The Road to Reality, Penrose]]N

(1 min read)

Jul 01, 2024 [[Quantum Computing Since Democritus, Aaronson]]N

(26 min read)

May 01, 2024 [[One Hundred Years of Solitude, Márquez]]N

(1 min read)

Mar 01, 2024 [[The Alchemist, Coelho]]N

(1 min read)

Mar 01, 2024 [[80,000 Hours, Todd]]N

(12 min read)

Feb 01, 2024 [[The Man Who Loved Only Numbers, Hoffman]]N

(2 min read)

Feb 01, 2024 [[Revenge, Ogawa]]N

(2 min read)

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

(1 min read)

Feb 01, 2024 [[Of Mice and Men, Steinbeck]]N

(1 min read)

Jan 01, 2024 [[Gone Girl, Flynn]]N

(1 min read)

Dec 01, 2023 [[The MANIAC, Labatut]]N

(1 min read)

Nov 04, 2023 [[Amusing Ourselves to Death, Postman]]N

(1 min read)

Oct 01, 2023 [[The Adventures of Sherlock Holmes, Doyle]]N

(4 min read)

Oct 01, 2023 [[Red Notice, Browder]]N

(1 min read)

Oct 01, 2023 [[Flatland, Abbott]]N

(1 min read)

Sep 01, 2023 [[Zero to One, Thiel]]N

(3 min read)

Sep 01, 2023 [[Tools of Titans, Ferris]]N

(6 min read)

Sep 01, 2023 [[The Mysterious Affair at Styles, Christie]]N

(1 min read)

Sep 01, 2023 [[The Best of Roald Dahl]]N

(4 min read)

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

(2 min read)

Sep 01, 2023 [[Norse Mythology, Gaiman]]N

(14 min read)

Sep 01, 2023 [[Murder on the Orient Express, Christie]]N

(1 min read)

Sep 01, 2023 [[Math Games with Bad Drawings, Orlin]]N

(8 min read)

Aug 03, 2023 [[The Moscow Puzzles, Kordemsky]]N

(2 min read)

Aug 01, 2023 [[Love and Math, Frenkel]]N

(2 min read)

Mar 01, 2023 [[Mythos, Fry]]N

(11 min read)

Feb 15, 2023 [[Fictions, Borges]]N

(5 min read)

Feb 01, 2023 [[What is ChatGPT Doing?, Wolfram]]N

(3 min read)

Jan 15, 2023 [[The Stranger, Camus]]N

(1 min read)

Dec 30, 2022 [[The Trial, Kafka]]N

(1 min read)

Dec 28, 2022 [[Capitalist Realism, Fisher]]N

(2 min read)

Oct 20, 2022 [[The Precipice, Ord]]N

(1 min read)

Oct 12, 2022 [[How do undergraduates do mathematics?]]N

(4 min read)

Sep 04, 2022 [[Haskell]]N

(3 min read)

Jul 28, 2022 [[The Elephant in the Brain, Hanson]]N

(1 min read)

Jul 28, 2022 [[Harry Potter and the Prisoner of Azkaban, Rowling]]N

(1 min read)

Jun 15, 2022 [[Grelling-Nelson Paradox]]N

(1 min read)

Apr 15, 2022 [[Chess]]N

(2 min read)

Apr 15, 2022 [[Games]]N

(5 min read)

Apr 15, 2022 [[Backgammon]]N

(4 min read)

Apr 14, 2022 [[Conversion Factors]]N

(1 min read)

Apr 10, 2022 [[London, Blake]]N

(1 min read)

Apr 10, 2022 [[Ozymandias, Shelley]]N

(1 min read)

Mar 25, 2022 [[Winning Ways for your Mathematical Plays]]N

(2 min read)

Mar 20, 2022 [[Genius At Play, Roberts]]N

(4 min read)

Mar 20, 2022 [[The Man Who Mistook His Wife for a Hat, Sacks]]N

(6 min read)

Mar 07, 2022 [[The Fascination of Groups, Budden]]N

(11 min read)

Mar 07, 2022 [[APM - Q4 - Finding another general result]]N

(1 min read)

Mar 04, 2022 [[APM - Q3 - Trig. integrals]]N

(1 min read)

Feb 17, 2022 [[Good Omens, Gaiman]]N

(1 min read)

Feb 17, 2022 [[Pale Blue Dot, Sagan]]N

(2 min read)

Feb 09, 2022 [[Half-assing it with everything you've got]]N

(1 min read)

Jan 17, 2022 [[Harry Potter and the Chamber of Secrets, Rowling]]N

(1 min read)

Jan 08, 2022 [[The Metropolitan Man, Wales]]N

(1 min read)

Dec 26, 2021 [[Atomic Habits, Clear]]N

(50 min read)

Dec 16, 2021 [[How To Live, Sivers]]N

(1 min read)

Nov 30, 2021 [[Advanced Problems in Mathematics]]N

(1 min read)

Nov 29, 2021 [[MAT Questions]]N

(4 min read)

Nov 29, 2021 [[UKMT Questions]]N

(1 min read)

Nov 29, 2021 [[Other Notes]]N

(2 min read)

Nov 26, 2021 [[The Mind's I, Dennet]]N

(6 min read)

Nov 10, 2021 [[Being You, Seth]]N

(5 min read)

Nov 02, 2021 [[MAT - Paper 2020 - Q2]]N

(1 min read)

Nov 02, 2021 [[MAT - Paper 2019 - Q3]]N

(1 min read)

Nov 02, 2021 [[MAT - Paper 2019 - Q2]]N

(1 min read)

Nov 02, 2021 [[MAT - Paper 2019 - Q1H]]N

(1 min read)

Nov 02, 2021 [[MAT - Paper 2019 - Q1F]]N

(1 min read)

Oct 31, 2021 [[MAT - Specimen Paper 1 - Q1H]]N

(1 min read)

Oct 28, 2021 [[MAT - Paper 2018 - Q6]]N

(1 min read)

Oct 28, 2021 [[MAT - Paper 2018 - Q5]]N

(1 min read)

Oct 28, 2021 [[MAT - Paper 2018 - Q3]]N

(1 min read)

Oct 27, 2021 [[MAT - Paper 2018 - Q2]]N

(2 min read)

Oct 27, 2021 [[MAT - Paper 2018 - Q1J]]N

(1 min read)

Oct 27, 2021 [[MAT - Paper 2018 - Q1H]]N

(1 min read)

Oct 27, 2021 [[MAT - Paper 2018 - Q1G]]N

(1 min read)

Oct 27, 2021 [[MAT - Paper 2018 - Q1F]]N

(1 min read)

Oct 27, 2021 [[MAT - Paper 2018 - Q1B]]N

(1 min read)

Oct 25, 2021 [[APM - Q2 - Finding a general result]]N

(1 min read)

Oct 23, 2021 [[MAT - Paper 2017 - Q3]]N

(1 min read)

Oct 22, 2021 [[MAT - Paper 2017 - Q2]]N

(1 min read)

Oct 22, 2021 [[MAT - Paper 2017 - Q1I]]N

(1 min read)

Oct 22, 2021 [[Game Theory As A Dark Art]]N

(1 min read)

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

(3 min read)

Oct 14, 2021 [[MAT - Paper 2007 - Q1F]]N

(1 min read)

Oct 14, 2021 [[MAT - Paper 2007 - Q1D]]N

(2 min read)

Oct 14, 2021 [[MAT - Paper 2009 - Q5]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2016 - Q6]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2016 - Q5]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2016 - Q3]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2016 - Q2]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2016 - Q1I]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2016 - Q1E]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2009 - Q3]]N

(1 min read)

Oct 13, 2021 [[MAT - Paper 2008 - Q2]]N

(1 min read)

Oct 12, 2021 [[MAT - Paper 2016 - Q1H]]N

(1 min read)

Oct 11, 2021 [[Howl, Ginsberg]]N

(5 min read)

Oct 10, 2021 [[MAT - Paper 2015 - Q2]]N

(1 min read)

Oct 10, 2021 [[MAT - Paper 2015 - Q1J]]N

(1 min read)

Oct 10, 2021 [[MAT - Paper 2015 - Q1B]]N

(1 min read)

Oct 10, 2021 [[MAT - Paper 2008 - Q1C]]N

(1 min read)

Oct 09, 2021 [[Recklessness]]N

(1 min read)

Oct 09, 2021 [[Meditations on Moloch, Alexander]]N

(3 min read)

Oct 05, 2021 [[Failing with Abandon]]N

(1 min read)

Oct 01, 2021 [[Island, Huxley]]N

(1 min read)

Oct 01, 2021 [[East of Eden, Steinbeck]]N

(1 min read)

Oct 01, 2021 [[Superintelligence, Bostrom]]N

(6 min read)

Oct 01, 2021 [[Have no excuses]]N

(3 min read)

Oct 01, 2021 [[The value of a life]]N

(2 min read)

Sep 18, 2021 [[MAT - Paper 2014 - Q5]]N

(1 min read)

Sep 18, 2021 [[MAT - Paper 2014 - Q3]]N

(2 min read)

Sep 18, 2021 [[MAT - Paper 2014 - Q1J]]N

(1 min read)

Sep 18, 2021 [[MAT - Paper 2014 - Q1E]]N

(1 min read)

Sep 18, 2021 [[MAT - Paper 2014 - Q1D]]N

(1 min read)

Sep 08, 2021 [[MAT - Paper 2013 - Q1I]]N

(1 min read)

Sep 08, 2021 [[MAT - Paper 2013 - Q1H]]N

(1 min read)

Sep 07, 2021 [[MAT - Paper 2013 - Q1G]]N

(1 min read)

Sep 07, 2021 [[MAT - Paper 2013 - Q1F]]N

(2 min read)

Sep 07, 2021 [[MAT - Paper 2013 - Q1C]]N

(1 min read)

Aug 30, 2021 [[In Flanders Fields, McCrae]]N

(1 min read)

Aug 16, 2021 [[MAT - Paper 2012 - Q5]]N

(1 min read)

Aug 16, 2021 [[Deep Work, Newport]]N

(19 min read)

Aug 16, 2021 [[The Unfolding of Language, Deutscher]]N

(11 min read)

Aug 15, 2021 [[MAT - Paper 2012 - Q3]]N

(1 min read)

Aug 15, 2021 [[MAT - Paper 2012 - Q2]]N

(1 min read)

Aug 14, 2021 [[Decimal Expansions]]N

(2 min read)

Aug 13, 2021 [[The Scout Mindset, Galef]]N

(32 min read)

Aug 13, 2021 [[MAT - Paper 2012 - Q1J]]N

(1 min read)

Aug 13, 2021 [[MAT - Paper 2012 - Q1G]]N

(1 min read)

Aug 12, 2021 [[MAT - Paper 2011 - Q5]]N

(1 min read)

Aug 11, 2021 [[MAT - Paper 2011 - Q3]]N

(2 min read)

Aug 11, 2021 [[MAT - Paper 2011 - Q2]]N

(1 min read)

Aug 09, 2021 [[MAT - Paper 2011 - Q1I]]N

(1 min read)

Aug 09, 2021 [[MAT - Paper 2011 - Q1G]]N

(1 min read)

Aug 09, 2021 [[MAT - Paper 2011 - Q1E]]N

(1 min read)

Aug 09, 2021 [[MAT - Paper 2011 - Q1C]]N

(2 min read)

Aug 04, 2021 [[MAT - Paper 2010 - Q7]]N

(1 min read)

Aug 04, 2021 [[MAT - Paper 2010 - Q6]]N

(1 min read)

Aug 04, 2021 [[MAT - Paper 2010 - Q5]]N

(1 min read)

Aug 04, 2021 [[MAT - Paper 2010 - Q3]]N

(1 min read)

Jul 16, 2021 [[Problem Solving]]N

(1 min read)

Jul 12, 2021 [[The Turing Omnibus, Dewdney]]N

(4 min read)

Jul 06, 2021 [[Open Loops Trigger List]]N

(3 min read)

Jul 05, 2021 [[Body By Science, Little]]N

(20 min read)

Jul 01, 2021 [[Solving Mathematical Problems, Tao]]N

(3 min read)

Jun 21, 2021 [[Getting Things Done, Allen]]N

(16 min read)

Jun 15, 2021 [[Zen and the Art of Motorcycle Maintenance, Pirsig]]N

(8 min read)

Apr 18, 2021 [[Algorithms to Live By, Christian]]N

(5 min read)

Apr 04, 2021 [[AIMA - Perception]]N

(3 min read)

Apr 04, 2021 [[AIMA - Probabilistic Reasoning]]N

(2 min read)

Apr 04, 2021 [[AIMA - Probabilistic Reasoning Over Time]]N

(2 min read)

Apr 04, 2021 [[AIMA - Quantifying Uncertainty]]N

(4 min read)

Apr 04, 2021 [[AIMA - Knowledge Representation]]N

(2 min read)

Apr 04, 2021 [[AIMA - Inference in First-Order Logic]]N

(1 min read)

Apr 04, 2021 [[AIMA - Automated Planning]]N

(1 min read)

Apr 04, 2021 [[AIMA - Logical Agents]]N

(5 min read)

Apr 04, 2021 [[AIMA - First-Order Logic]]N

(4 min read)

Apr 04, 2021 [[AIMA - Search in Complex Environments]]N

(3 min read)

Apr 04, 2021 [[AIMA - Constraint Satisfaction Problems]]N

(2 min read)

Apr 04, 2021 [[AIMA - Adversarial Search and Games]]N

(2 min read)

Apr 04, 2021 [[AIMA - Solving Problems by Searching]]N

(19 min read)

Apr 04, 2021 [[AIMA - Intelligent Agents]]N

(14 min read)

Apr 04, 2021 [[AIMA - Introduction]]N

(13 min read)

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

(1 min read)

Mar 21, 2021 [[AI - A Modern Approach]]N

(3 min read)

Mar 14, 2021 [[Replacing Guilt, Soares]]N

(2 min read)

Mar 11, 2021 [[Gödel, Escher, Bach]]N

(5 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Conclusion]]N

(4 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Two Selves]]N

(16 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Choices]]N

(54 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Overconfidence]]N

(32 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Heuristics and Biases]]N

(42 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Two Systems]]N

(48 min read)

Feb 16, 2021 [[Thinking, Fast and Slow - Introduction]]N

(6 min read)

Feb 16, 2021 [[Thinking, Fast and Slow, Kahneman]]N

(5 min read)

Feb 10, 2021 [[Rationalization]]N

(1 min read)

Jan 17, 2021 [[Harry Potter and the Philosopher's Stone, Rowling]]N

(1 min read)

Jan 08, 2021 [[Cat's Cradle, Vonnegut]]N

(1 min read)

Dec 30, 2020 [[The Count of Monte Cristo, Dumas]]N

(2 min read)

Dec 28, 2020 [[The Planning Fallacy]]N

(1 min read)

Dec 28, 2020 [[Efficient Market Hypothesis]]N

(1 min read)

Nov 29, 2020 [[Roko's Basilisk]]N

(1 min read)

Nov 13, 2020 [[Sum, Eagleman]]N

(2 min read)

Sep 06, 2020 [[Augmenting Long-term Memory, Nielsen]]N

(18 min read)

Sep 06, 2020 [[Writing good flashcards]]N

(4 min read)

Sep 01, 2020 [[Polyphasic Sleeping]]N

(1 min read)

Aug 25, 2020 [[Spark, Hagerman]]N

(2 min read)

Aug 18, 2020 [[Invictus, Henley]]N

(1 min read)

Aug 11, 2020 [[Flow, Csikzentmilhalyi]]N

(4 min read)

Jul 28, 2020 [[Words of Radiance, Sanderson]]N

(1 min read)

Jul 28, 2020 [[The Way of Kings, Sanderson]]N

(1 min read)

Jul 28, 2020 [[Anne of Green Gables, Montgomery]]N

(1 min read)

Jul 28, 2020 [[Lord of the Flies, Golding]]N

(1 min read)

Jul 28, 2020 [[Sapiens, Harari]]N

(1 min read)

Jul 28, 2019 [[Stardust, Gaiman]]N

(1 min read)

Jul 28, 2019 [[The Catcher in the Rye, Salinger]]N

(1 min read)

Jul 28, 2019 [[Catch-22, Heller]]N

(1 min read)

Jul 28, 2019 [[Frankenstein, Shelley]]N

(1 min read)

Jul 28, 2019 [[1984, Orwell]]N

(1 min read)

Jul 28, 2019 [[Brave New World, Huxley]]N

(2 min read)

Jul 28, 2019 [[To Kill a Mockingbird, Lee]]N

(1 min read)

Jul 28, 2019 [[The Grapes of Wrath, Steinbeck]]N

(1 min read)

Jul 28, 2019 [[The Great Gatsby, Fitzgerald]]N

(1 min read)

Jul 28, 2019 [[One Flew Over the Cuckoo's Nest, Kesey]]N

(1 min read)

Jul 28, 2019 [[Slaughterhouse Five, Vonnegut]]N

(1 min read)

Jul 16, 2019 [[Meditations, Aurelius]]N

(1 min read)

University notes

Oct 30, 2025 [[Notes - Uncertainty in Deep Learning MT25, Uncertainty over functions]]U

(8 min read)

Oct 30, 2025 [[Notes - Uncertainty in Deep Learning MT25, Bayesian probabilistic modelling of functions]]U

(13 min read)

Oct 30, 2025 [[Paper - Attention Is All You Need]]U

(1 min read)

Oct 30, 2025 [[Notes - Uncertainty in Deep Learning MT25, Bayesian probabilistic modelling]]U

(8 min read)

Oct 30, 2025 [[Notes - Uncertainty in Deep Learning MT25, Bayesian probability theory]]U

(2 min read)

Oct 29, 2025 [[Notes - Uncertainty in Deep Learning MT25, Introduction]]U

(3 min read)

Oct 29, 2025 [[Lecture - Theories of Deep Learning MT25, V, Controlling the exponential growth of variance and correlation]]U

(1 min read)

Oct 29, 2025 [[Paper - The AAA Algorithm for Rational Approximation (2018)]]U

(1 min read)

Oct 27, 2025 [[Notes - Computer Vision MT25, Learning curves]]U

(2 min read)

Oct 27, 2025 [[Notes - Computer Vision MT25, Dropout]]U

(1 min read)

Oct 27, 2025 [[Notes - Computer Vision MT25, Convolutional neural networks]]U

(5 min read)

Oct 24, 2025 [[Notes - NLA MT25, Numerical stability]]U

(8 min read)

Oct 24, 2025 [[Notes - NLA MT25, Linear systems]]U

(2 min read)

Oct 24, 2025 [[Notes - NLA MT25, Least-squares]]U

(2 min read)

Oct 24, 2025 [[Notes - NLA MT25, QR factorisation]]U

(3 min read)

Oct 24, 2025 [[Notes - NLA MT25, Cholesky factorisation]]U

(3 min read)

Oct 24, 2025 [[Notes - NLA MT25, LU factorisation]]U

(4 min read)

Oct 22, 2025 [[Notes - Uncertainty in Deep Learning MT25, Statistics reference]]U

(1 min read)

Oct 21, 2025 [[Notes - Machine Learning MT23, Multivariate Gaussians]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Markov's inequality]]U

(1 min read)

Oct 21, 2025 [[Notes - Probability MT22, Chebyshev's inequality]]U

(1 min read)

Oct 21, 2025 [[Notes - Probability MT22, Weak law of large numbers]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Random samples]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Branching processes]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Moments]]U

(1 min read)

Oct 21, 2025 [[Notes - Probability MT22, Probability generating functions]]U

(3 min read)

Oct 21, 2025 [[Notes - Probability MT22, Recurrence relations]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Variance and covariance]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Bayes' theorem]]U

(1 min read)

Oct 21, 2025 [[Notes - Probability MT22, Partition theorem]]U

(2 min read)

Oct 21, 2025 [[Notes - Probability MT22, Basic definitions]]U

(3 min read)

Oct 21, 2025 [[Notes - Uncertainty in Deep Learning MT25, Probability reference]]U

(23 min read)

Oct 20, 2025 [[Notes - Computer Vision MT25, Image classification]]U

(4 min read)

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

(4 min read)

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

(3 min read)

Oct 19, 2025 [[Notes - Theories of Deep Learning MT25, Vapnik-Chervonenkis dimension]]U

(2 min read)

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

(8 min read)

Oct 18, 2025 [[Lecture - Theories of Deep Learning MT25, IV, Data classes for which DNNs can overcome the curse of dimensionality and Attention modules]]U

(3 min read)

Oct 18, 2025 [[Lecture - Theories of Deep Learning MT25, III, Exponential expressivity with depth]]U

(2 min read)

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

(4 min read)

Oct 18, 2025 [[Article - Deep, deep trouble, Elad]]U

(2 min read)

Oct 18, 2025 [[Lecture - Theories of Deep Learning MT25, II, Why deep learning]]U

(1 min read)

Oct 18, 2025 [[Lecture - Theories of Deep Learning MT25, I, Three ingredients of deep learning]]U

(2 min read)

Oct 17, 2025 [[Notes - Computer Vision MT25, Scale-invariant feature transform]]U

(5 min read)

Oct 17, 2025 [[Notes - Computer Vision MT25, Correspondences]]U

(1 min read)

Oct 17, 2025 [[Notes - Computer Vision MT25, Image restoration]]U

(8 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Fourier transform]]U

(8 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Convolutions]]U

(3 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Filtering]]U

(4 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Homogenous coordinates and homographies]]U

(6 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Image transformations]]U

(3 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Subsampling and upsampling]]U

(4 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Sampling and reconstruction]]U

(2 min read)

Oct 15, 2025 [[Notes - Computer Vision MT25, Image representation]]U

(1 min read)

Oct 14, 2025 [[Paper - Gradient-based learning applied to document recognition, LeCun]]U

(1 min read)

Oct 14, 2025 [[Notes - NLA MT25, Eigenvalue decomposition]]U

(1 min read)

Oct 13, 2025 [[Notes - NLA MT25, Weyl's inequality]]U

(2 min read)

Oct 13, 2025 [[Notes - NLA MT25, Courant-Fischer minmax theorem]]U

(8 min read)

Oct 13, 2025 [[Notes - NLA MT25, Singular value decomposition]]U

(5 min read)

Oct 13, 2025 [[Notes - NLA MT25, Useful miscellany]]U

(2 min read)

Oct 13, 2025 [[Notes - NLA MT25, Subspaces]]U

(2 min read)

Oct 13, 2025 [[Notes - NLA MT25, Vector and matrix norms]]U

(7 min read)

Oct 13, 2025 [[Notes - NLA MT25, Structured matrices]]U

(2 min read)

Oct 10, 2025 [[Course - Geometric Deep Learning HT26]]U

(1 min read)

Oct 10, 2025 [[Course - Probability MT25]]U

(1 min read)

Oct 09, 2025 [[Course - Uncertainty in Deep Learning MT25]]U

(3 min read)

Oct 09, 2025 [[Course - Theories of Deep Learning MT25]]U

(6 min read)

Oct 09, 2025 [[Course - Computer Vision MT25]]U

(4 min read)

Oct 09, 2025 [[Course - Numerical Linear Algebra MT25]]U

(3 min read)

Oct 09, 2025 [[Courses HT26]]U

(1 min read)

Oct 09, 2025 [[Courses MT25]]U

(1 min read)

Oct 09, 2025 [[Part C]]U

(1 min read)

May 25, 2025 [[Notes - Computational Complexity HT25, Index of problems and reductions]]U

(3 min read)

May 21, 2025 [[Notes - Computational Complexity HT25, Diagonalisation]]U

(3 min read)

May 21, 2025 [[Notes - Computational Complexity HT25, Padding arguments]]U

(12 min read)

May 21, 2025 [[Notes - Computational Complexity HT25, Crossing sequences]]U

(3 min read)

May 16, 2025 [[Notes - Galois Theory HT25, Artin's lemma]]U

(3 min read)

May 12, 2025 [[Notes - Computational Complexity HT25, Hierarchy theorems]]U

(6 min read)

May 06, 2025 [[Notes - Optimisation for Data Science HT25, Nesterov's accelerated gradient method]]U

(15 min read)

May 04, 2025 [[Notes - Galois Theory HT25, Primitive element theorem]]U

(4 min read)

Apr 30, 2025 [[Notes - Computational Complexity HT25, Common proof themes]]U

(4 min read)

Apr 30, 2025 [[Notes - Computational Complexity HT25, Problem sheets]]U

(3 min read)

Apr 29, 2025 [[Notes - Logic and Proof MT24, Ordered divisible abelian groups]]U

(6 min read)

Apr 28, 2025 [[Notes - Computer Security MT24, NIST framework]]U

(9 min read)

Apr 27, 2025 [[Notes - Galois Theory HT25, Misc]]U

(3 min read)

Apr 15, 2025 [[Notes - Galois Theory HT25, Quartic equations]]U

(4 min read)

Apr 15, 2025 [[Notes - Galois Theory HT25, Quintic equations]]U

(3 min read)

Apr 14, 2025 [[Notes - Optimisation for Data Science HT25, Motivation and examples]]U

(4 min read)

Apr 08, 2025 [[Notes - Rings and Modules HT24, Eisenstein's criterion]]U

(5 min read)

Mar 27, 2025 [[Notes - Galois Theory HT25, Normality]]U

(7 min read)

Mar 26, 2025 [[Notes - Galois Theory HT25, Symmetric functions]]U

(1 min read)

Mar 17, 2025 [[Notes - Optimisation for Data Science HT25, Line search methods]]U

(22 min read)

Mar 17, 2025 [[Notes - Optimisation for Data Science HT25, Overview of convergence results]]U

(19 min read)

Mar 13, 2025 [[Notes - Computational Complexity HT25, Approximation and the PCP theorem]]U

(11 min read)

Mar 08, 2025 [[Notes - Set Theory HT25, Vector spaces]]U

(4 min read)

Mar 08, 2025 [[Notes - Set Theory HT25, Zorn's lemma]]U

(7 min read)

Mar 08, 2025 [[Notes - Set Theory HT25, Choice]]U

(8 min read)

Mar 08, 2025 [[Notes - Set Theory HT25, Foundation]]U

(3 min read)

Mar 04, 2025 [[Notes - Set Theory HT25, Replacement]]U

(9 min read)

Mar 03, 2025 [[Notes - Logic and Proof MT24, All the algorithms]]U

(6 min read)

Mar 03, 2025 [[Notes - Computational Complexity HT25, Randomness and probabilistic computation]]U

(23 min read)

Feb 27, 2025 [[Notes - Optimisation for Data Science HT25, Coordinate descent]]U

(62 min read)

Feb 25, 2025 [[Notes - Computational Complexity HT25, Boolean circuits]]U

(23 min read)

Feb 20, 2025 [[Notes - Set Theory HT25, Ordinals]]U

(29 min read)

Feb 20, 2025 [[Notes - Set Theory HT25, Well-ordered sets]]U

(8 min read)

Feb 19, 2025 [[Notes - Set Theory HT25, Cardinals and cardinalities]]U

(45 min read)

Feb 19, 2025 [[Notes - Set Theory HT25, Classes]]U

(2 min read)

Feb 18, 2025 [[Notes - Optimisation for Data Science HT25, Variance reduction methods]]U

(6 min read)

Feb 17, 2025 [[Notes - Optimisation for Data Science HT25, Stochastic gradient descent]]U

(29 min read)

Feb 17, 2025 [[Notes - Optimisation for Data Science HT25, Useful miscellany]]U

(9 min read)

Feb 17, 2025 [[Notes - Optimisation for Data Science HT25, Subgradients]]U

(4 min read)

Feb 17, 2025 [[Notes - Optimisation for Data Science HT25, Smoothness and convexity]]U

(12 min read)

Feb 17, 2025 [[Notes - Optimisation for Data Science HT25, Heavy ball method]]U

(3 min read)

Feb 13, 2025 [[Notes - Computational Complexity HT25, Sublinear space classes]]U

(9 min read)

Feb 13, 2025 [[Notes - Computational Complexity HT25, Savitch's theorem]]U

(5 min read)

Feb 13, 2025 [[Notes - Computational Complexity HT25, Cook-Levin theorem]]U

(13 min read)

Feb 13, 2025 [[Notes - Computational Complexity HT25, PSPACE-completeness]]U

(8 min read)

Feb 13, 2025 [[Notes - Computational Complexity HT25, Polynomial hierarchy]]U

(11 min read)

Feb 06, 2025 [[Notes - Set Theory HT25, Functions]]U

(2 min read)

Feb 04, 2025 [[Notes - Set Theory HT25, Natural numbers]]U

(13 min read)

Feb 03, 2025 [[Notes - Set Theory HT25, Products and relations]]U

(3 min read)

Jan 31, 2025 [[Notes - Computational Complexity HT25, Nondeterminism]]U

(15 min read)

Jan 28, 2025 [[Notes - Optimisation for Data Science HT25, Proximal method]]U

(38 min read)

Jan 27, 2025 [[Notes - Optimisation for Data Science HT25, Steepest descent]]U

(13 min read)

Jan 26, 2025 [[Notes - Computational Complexity HT25, Time and space]]U

(7 min read)

Jan 26, 2025 [[Notes - Computational Complexity HT25, Mapping reductions]]U

(2 min read)

Jan 26, 2025 [[Notes - Computational Complexity HT25, Turing reductions and oracles]]U

(4 min read)

Jan 23, 2025 [[Notes - Computational Complexity HT25, Properties of languages]]U

(2 min read)

Jan 21, 2025 [[Notes - Optimisation for Data Science HT25, Optimisation terminology]]U

(5 min read)

Jan 20, 2025 [[Notes - Set Theory HT25, Basic axioms]]U

(4 min read)

Jan 20, 2025 [[Course - Optimisation for Data Science HT25]]U

(9 min read)

Jan 20, 2025 [[Course - Set Theory HT25]]U

(2 min read)

Jan 15, 2025 [[Course - Computational Complexity HT25]]U

(6 min read)

Jan 13, 2025 [[Notes - Computer Security MT24, Elliptic curve cryptography]]U

(1 min read)

Jan 10, 2025 [[Notes - Computer Security MT24, Example hash functions]]U

(4 min read)

Jan 10, 2025 [[Notes - Computer Security MT24, RC4]]U

(3 min read)

Jan 10, 2025 [[Notes - Computer Security MT24, Stream ciphers]]U

(2 min read)

Jan 10, 2025 [[Notes - Computer Security MT24, Block modes]]U

(6 min read)

Jan 10, 2025 [[Notes - Computer Security MT24, AES cryptosystem]]U

(1 min read)

Jan 09, 2025 [[Notes - Artificial Intelligence MT24, Imperfect information games]]U

(2 min read)

Jan 09, 2025 [[Notes - Logic MT24, Example proofs in first-order logic]]U

(4 min read)

Jan 08, 2025 [[Notes - Artificial Intelligence MT24, All the algorithms]]U

(7 min read)

Jan 07, 2025 [[Notes - Computer Security MT24, Access control in UNIX]]U

(2 min read)

Jan 05, 2025 [[Notes - Logic and Proof MT24, Vaught's test]]U

(2 min read)

Jan 05, 2025 [[Notes - Logic MT24, Unbounded dense linear orders]]U

(6 min read)

Jan 05, 2025 [[Notes - Logic and Proof MT24, Quantifier elimination]]U

(8 min read)

Jan 05, 2025 [[Notes - Logic and Proof MT24, Lower bounds for deciding real arithmetic]]U

(5 min read)

Jan 02, 2025 [[Notes - Computer Security MT24, Clark-Wilson model]]U

(3 min read)

Jan 02, 2025 [[Notes - Logic and Proof MT24, Lower bounds for resolution]]U

(13 min read)

Jan 02, 2025 [[Notes - Logic and Proof MT24, Interpolants]]U

(18 min read)

Jan 01, 2025 [[Notes - Logic MT24, Gödel's completeness theorem]]U

(30 min read)

Jan 01, 2025 [[Notes - Logic MT24, Löwenheim-Skolem theorem]]U

(1 min read)

Jan 01, 2025 [[Notes - Logic MT24, Compactness theorems]]U

(6 min read)

Jan 01, 2025 [[Notes - Logic MT24, Example proofs in propositional logic]]U

(6 min read)

Nov 26, 2024 [[Notes - Logic and Proof MT24, Unification and resolution]]U

(24 min read)

Nov 26, 2024 [[Notes - Logic and Proof MT24, Decidability results for first-order logic]]U

(5 min read)

Nov 26, 2024 [[Notes - Logic and Proof MT24, Ground resolution]]U

(3 min read)

Nov 26, 2024 [[Notes - Logic and Proof MT24, Herbrand's theorem]]U

(11 min read)

Nov 26, 2024 [[Notes - Logic and Proof MT24, Skolemization]]U

(4 min read)

Nov 22, 2024 [[Notes - Logic MT24, Isomorphisms and equivalences of structures]]U

(6 min read)

Nov 22, 2024 [[Notes - Logic MT24, Axiomatisations]]U

(2 min read)

Nov 21, 2024 [[Notes - Logic MT24, Proofs in first-order logic]]U

(14 min read)

Nov 19, 2024 [[Notes - Galois Theory HT25, Cyclotomic extensions]]U

(19 min read)

Nov 18, 2024 [[Notes - Galois Theory HT25, Finite fields]]U

(18 min read)

Nov 18, 2024 [[Notes - Galois Theory HT25, Kummer extensions]]U

(6 min read)

Nov 18, 2024 [[Notes - Computer Security MT24, SSL and TLS]]U

(6 min read)

Nov 17, 2024 [[Notes - Computer Security MT24, Key distribution and mediated authentication]]U

(9 min read)

Nov 17, 2024 [[Notes - Computer Security MT24, Needham-Schroeder protocol]]U

(3 min read)

Nov 17, 2024 [[Notes - Computer Security MT24, Protocols]]U

(15 min read)

Nov 13, 2024 [[Notes - Logic and Proof MT24, Ehrenfeucht-Fraïssé games]]U

(20 min read)

Nov 13, 2024 [[Notes - Logic and Proof MT24, Algebraically closed fields]]U

(13 min read)

Nov 11, 2024 [[Notes - Artificial Intelligence MT24, Online search]]U

(8 min read)

Nov 11, 2024 [[Notes - Artificial Intelligence MT24, Partially observable environments]]U

(13 min read)

Nov 11, 2024 [[Notes - Artificial Intelligence MT24, Nondeterministic search]]U

(5 min read)

Nov 11, 2024 [[Notes - Artificial Intelligence MT24, Perfect information games]]U

(12 min read)

Nov 10, 2024 [[Notes - Galois Theory HT25, Cubic equations]]U

(13 min read)

Nov 10, 2024 [[Notes - Galois Theory HT25, Background from group theory]]U

(8 min read)

Nov 10, 2024 [[Notes - Galois Theory HT25, Determinant and discriminant]]U

(8 min read)

Nov 09, 2024 [[Notes - Galois Theory HT25, Solvable groups]]U

(8 min read)

Nov 09, 2024 [[Notes - Galois Theory HT25, Solvability by radicals]]U

(20 min read)

Nov 05, 2024 [[Notes - Artificial Intelligence MT24, Constraint satisfaction problems]]U

(32 min read)

Nov 05, 2024 [[Notes - Artificial Intelligence MT24, Robots]]U

(7 min read)

Nov 04, 2024 [[Notes - Logic MT24, First-order logic]]U

(29 min read)

Nov 04, 2024 [[Notes - Computer Security MT24, Digital signatures]]U

(5 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, MACs]]U

(8 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, Dolev-Yao model]]U

(1 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, Diffie-Hellman key exchange]]U

(3 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, Rabin cryptosystem]]U

(2 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, RSA cryptosystem]]U

(22 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, Background from number theory]]U

(3 min read)

Nov 03, 2024 [[Notes - Computer Security MT24, Asymmetric key ciphers]]U

(1 min read)

Nov 01, 2024 [[Notes - Logic and Proof MT24, Unbounded dense linear orders]]U

(7 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, Regular languages]]U

(2 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, Presburger arithmetic]]U

(11 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, Rado graph]]U

(11 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, Decidable theories]]U

(1 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, Logical theories]]U

(2 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, First-order logic]]U

(18 min read)

Oct 31, 2024 [[Notes - Logic and Proof MT24, Compactness theorems]]U

(18 min read)

Oct 30, 2024 [[Notes - Galois Theory HT25, Computing the Galois group]]U

(35 min read)

Oct 29, 2024 [[Notes - Galois Theory HT25, Main theorems of Galois theory]]U

(19 min read)

Oct 28, 2024 [[Notes - Galois Theory HT25, Separability]]U

(13 min read)

Oct 28, 2024 [[Notes - Galois Theory HT25, Galois groups and Galois extensions]]U

(28 min read)

Oct 28, 2024 [[Notes - Galois Theory HT25, Bounds on the size of the Galois group]]U

(25 min read)

Oct 27, 2024 [[Notes - Artificial Intelligence MT24, Planning with propositional logic]]U

(9 min read)

Oct 27, 2024 [[Notes - Artificial Intelligence MT24, Partial order planning]]U

(4 min read)

Oct 27, 2024 [[Notes - Artificial Intelligence MT24, Planning]]U

(9 min read)

Oct 27, 2024 [[Notes - Artificial Intelligence MT24, Local search]]U

(4 min read)

Oct 24, 2024 [[Notes - Logic MT24, Proofs in propositional logic]]U

(21 min read)

Oct 24, 2024 [[Notes - Logic and Proof MT24, Cutting planes]]U

(14 min read)

Oct 23, 2024 [[Notes - Computer Security MT24, Key generation]]U

(2 min read)

Oct 22, 2024 [[Notes - Computer Security MT24, Cryptographic hashes]]U

(27 min read)

Oct 21, 2024 [[Notes - Artificial Intelligence MT24, Informed search]]U

(14 min read)

Oct 21, 2024 [[Notes - Artificial Intelligence MT24, Uninformed search]]U

(5 min read)

Oct 21, 2024 [[Notes - Artificial Intelligence MT24, Problem solving and search]]U

(4 min read)

Oct 20, 2024 [[Notes - Computer Security MT24, DES cryptosystem]]U

(2 min read)

Oct 20, 2024 [[Notes - Computer Security MT24, Feistel structures]]U

(4 min read)

Oct 20, 2024 [[Notes - Computer Security MT24, Cipher attacks]]U

(3 min read)

Oct 20, 2024 [[Notes - Computer Security MT24, Symmetric key ciphers]]U

(17 min read)

Oct 20, 2024 [[Notes - Computer Security MT24, Attacks]]U

(5 min read)

Oct 20, 2024 [[Notes - Computer Security MT24, Reference monitors]]U

(3 min read)

Oct 19, 2024 [[Notes - Computer Security MT24, Bell-LaPadula model]]U

(13 min read)

Oct 19, 2024 [[Notes - Computer Security MT24, Access control]]U

(5 min read)

Oct 19, 2024 [[Notes - Computer Security MT24, Basic definitions]]U

(3 min read)

Oct 17, 2024 [[Notes - Galois Theory HT25, Group actions]]U

(1 min read)

Oct 17, 2024 [[Notes - Galois Theory HT25, Fields and field extensions]]U

(10 min read)

Oct 16, 2024 [[Notes - Logic MT24, Propositional logic]]U

(13 min read)

Oct 15, 2024 [[Notes - Logic and Proof MT24, Boolean circuits]]U

(1 min read)

Oct 15, 2024 [[Notes - Logic and Proof MT24, Propositional resolution]]U

(10 min read)

Oct 14, 2024 [[Notes - Logic and Proof MT24, XOR-Clauses]]U

(1 min read)

Oct 14, 2024 [[Notes - Logic and Proof MT24, 3-CNF formulas]]U

(3 min read)

Oct 14, 2024 [[Notes - Logic and Proof MT24, Walk-SAT]]U

(7 min read)

Oct 14, 2024 [[Notes - Logic and Proof MT24, 2-CNF formulas]]U

(6 min read)

Oct 14, 2024 [[Notes - Logic and Proof MT24, Horn formulas]]U

(5 min read)

Oct 14, 2024 [[Notes - Logic and Proof MT24, Propositional logic]]U

(9 min read)

Oct 11, 2024 [[Course - Galois Theory HT25]]U

(5 min read)

Oct 11, 2024 [[Course - Logic and Proof MT24]]U

(5 min read)

Oct 11, 2024 [[Courses HT25]]U

(1 min read)

Oct 11, 2024 [[Course - Computer Security MT24]]U

(4 min read)

Oct 11, 2024 [[Course - Artificial Intelligence MT24]]U

(4 min read)

Oct 11, 2024 [[Course - Logic MT24]]U

(2 min read)

Oct 11, 2024 [[Part B]]U

(1 min read)

Oct 11, 2024 [[Courses MT24]]U

(1 min read)

Jul 28, 2024 [[University Notes]]U

(7 min read)

Jul 07, 2024 [[Notes - Linear Algebra MT22, Misc]]U

(3 min read)

Jul 07, 2024 [[Notes - Functional Programming MT22, Misc]]U

(11 min read)

Jul 07, 2024 [[Notes - Analysis I MT22, Misc]]U

(3 min read)

Jul 07, 2024 [[Course - Ethics and Responsible Innovation MT22]]U

(2 min read)

Jul 07, 2024 [[Notes - Linear Algebra II HT23, Misc]]U

(1 min read)

Jul 07, 2024 [[Notes - Analysis II HT23, Misc]]U

(1 min read)

Jul 07, 2024 [[Notes - Imperative Programming HT23, Misc]]U

(2 min read)

Jul 07, 2024 [[Notes - Continuous Mathematics HT23, Misc]]U

(2 min read)

Jul 07, 2024 [[Notes - Imperative Programming TT23, Misc]]U

(2 min read)

Jun 23, 2024 [[Prelims]]U

(2 min read)

Jun 23, 2024 [[Part A]]U

(1 min read)

Jun 18, 2024 [[Notes - Numerical Analysis HT24, One-step methods]]U

(17 min read)

Jun 18, 2024 [[Notes - Rings and Modules HT24, Isomorphism theorems]]U

(5 min read)

Jun 17, 2024 [[Notes - Numerical Analysis HT24, Power method]]U

(7 min read)

Jun 17, 2024 [[Notes - Numerical Analysis HT24, Hermite interpolation]]U

(3 min read)

Jun 17, 2024 [[Notes - Numerical Analysis HT24, Flops]]U

(1 min read)

Jun 17, 2024 [[Notes - Rings and Modules HT24, Divisibility]]U

(3 min read)

Jun 17, 2024 [[Notes - Rings and Modules HT24, Overview of results and relationships in rings]]U

(5 min read)

Jun 16, 2024 [[Notes - Numerical Analysis HT24, Givens rotations]]U

(1 min read)

Jun 16, 2024 [[Notes - Numerical Analysis HT24, QR algorithm]]U

(12 min read)

Jun 14, 2024 [[Notes - Numerical Analysis HT24, Schur decomposition]]U

(1 min read)

Jun 06, 2024 [[Notes - Quantum Information HT24, Rules of quantum theory]]U

(3 min read)

May 12, 2024 [[Notes - Machine Learning MT23, Paradigms]]U

(1 min read)

May 07, 2024 [[Notes - Linear Algebra MT23, Misc]]U

(1 min read)

May 06, 2024 [[Notes - Rings and Modules HT24, Principal ideal domains]]U

(4 min read)

May 04, 2024 [[Notes - Machine Learning MT23, k-nearest neighbours]]U

(1 min read)

May 03, 2024 [[Notes - ADS HT24, Randomised rounding]]U

(17 min read)

May 01, 2024 [[Notes - Machine Learning MT23, Multidimensional scaling]]U

(4 min read)

May 01, 2024 [[Notes - Machine Learning MT23, k-means clustering]]U

(3 min read)

May 01, 2024 [[Notes - Machine Learning MT23, Spectral clustering]]U

(6 min read)

Apr 29, 2024 [[Notes - Quantum Information HT24, Quantum communication]]U

(2 min read)

Apr 28, 2024 [[Notes - Complex Analysis MT23, Integration and residue calculation]]U

(15 min read)

Apr 28, 2024 [[Notes - Complex Analysis MT23, Jordan's lemma]]U

(4 min read)

Apr 23, 2024 [[Notes - Complex Analysis MT23, Riemann's removable singularity theorem]]U

(3 min read)

Apr 23, 2024 [[Notes - Complex Analysis MT23, Liouville's theorem]]U

(2 min read)

Apr 18, 2024 [[Notes - Rings and Modules HT24, Chinese remainder theorem]]U

(4 min read)

Apr 16, 2024 [[Notes - Numerical Analysis HT24, Tridiagonal matrices]]U

(2 min read)

Apr 16, 2024 [[Notes - Numerical Analysis HT24, Householder reflectors]]U

(6 min read)

Apr 13, 2024 [[Notes - Rings and Modules HT24, Polynomial rings]]U

(6 min read)

Apr 06, 2024 [[Notes - Quantum Information HT24, Misc]]U

(1 min read)

Mar 29, 2024 [[Notes - Quantum Information HT24, Bell basis]]U

(2 min read)

Mar 22, 2024 [[Notes - Complex Analysis MT23, Casorati-Weierstrass theorem]]U

(2 min read)

Mar 18, 2024 [[Notes - Machine Learning MT23, Cross-entropy loss]]U

(2 min read)

Mar 16, 2024 [[Notes - Rings and Modules HT24, Correspondence theorems]]U

(4 min read)

Mar 16, 2024 [[Notes - Linear Algebra MT23, Triangular form theorem]]U

(8 min read)

Mar 13, 2024 [[Notes - Complex Analysis MT23, Rouché's theorem]]U

(4 min read)

Mar 12, 2024 [[Notes - Complex Analysis MT23, Morera's theorem]]U

(2 min read)

Mar 11, 2024 [[Notes - Numerical Analysis HT24, Gerschgorin's theorems]]U

(8 min read)

Feb 29, 2024 [[Notes - Quantum Information HT24, Quantum teleportation]]U

(5 min read)

Feb 29, 2024 [[Notes - Quantum Information HT24, No-cloning theorem]]U

(8 min read)

Feb 28, 2024 [[Notes - ADS HT24, Colour coding]]U

(4 min read)

Feb 28, 2024 [[Notes - ADS HT24, Kernelisation]]U

(16 min read)

Feb 28, 2024 [[Notes - ADS HT24, Parameterised complexity]]U

(6 min read)

Feb 26, 2024 [[Notes - Rings and Modules HT24, Rational and Jordan canonical forms]]U

(13 min read)

Feb 26, 2024 [[Notes - Rings and Modules HT24, Structure theorems]]U

(14 min read)

Feb 26, 2024 [[Notes - Rings and Modules HT24, Presentations]]U

(6 min read)

Feb 25, 2024 [[Notes - Rings and Modules HT24, Smith normal form]]U

(5 min read)

Feb 24, 2024 [[Notes - Numerical Analysis HT24, Multi-step methods]]U

(17 min read)

Feb 24, 2024 [[Notes - Numerical Analysis HT24, Runge-Kutta methods]]U

(18 min read)

Feb 23, 2024 [[Notes - Numerical Analysis HT24, Initial value problems]]U

(17 min read)

Feb 23, 2024 [[Notes - Rings and Modules HT24, Matrices over a ring]]U

(3 min read)

Feb 21, 2024 [[Notes - Quantum Information HT24, Density matrices]]U

(13 min read)

Feb 20, 2024 [[Notes - Quantum Information HT24, Shor's algorithm]]U

(12 min read)

Feb 20, 2024 [[Notes - Quantum Information HT24, Grover's algorithm]]U

(7 min read)

Feb 19, 2024 [[Notes - Rings and Modules HT24, Free modules]]U

(10 min read)

Feb 19, 2024 [[Notes - Rings and Modules HT24, Torsion]]U

(4 min read)

Feb 19, 2024 [[Notes - Rings and Modules HT24, Basic definitions for modules]]U

(10 min read)

Feb 17, 2024 [[Notes - ADS HT24, Approximation algorithms]]U

(14 min read)

Feb 15, 2024 [[Notes - ADS HT24, NP-hardness and NP-completeness]]U

(19 min read)

Feb 15, 2024 [[Notes - ADS HT24, Zero-sum games]]U

(14 min read)

Feb 14, 2024 [[Notes - Rings and Modules HT24, Factorisation in polynomial rings]]U

(10 min read)

Feb 13, 2024 [[Notes - Quantum Information HT24, Quantum gates]]U

(10 min read)

Feb 13, 2024 [[Notes - Quantum Information HT24, The Deutsch-Jozsa game]]U

(3 min read)

Feb 13, 2024 [[Notes - Quantum Information HT24, Query complexity]]U

(4 min read)

Feb 13, 2024 [[Notes - Quantum Information HT24, Quantum circuits]]U

(15 min read)

Feb 11, 2024 [[Notes - Numerical Analysis HT24, Quadrature and approximate integration]]U

(14 min read)

Feb 10, 2024 [[Notes - Numerical Analysis HT24, Orthogonal polynomials]]U

(9 min read)

Feb 10, 2024 [[Notes - Numerical Analysis HT24, Best approximation in inner product spaces]]U

(8 min read)

Feb 08, 2024 [[Notes - ADS HT24, Linear programming]]U

(31 min read)

Feb 06, 2024 [[Notes - Quantum Information HT24, The GHZ game]]U

(7 min read)

Feb 06, 2024 [[Notes - Quantum Information HT24, The CHSH game]]U

(10 min read)

Feb 03, 2024 [[Notes - ADS HT24, Circulations]]U

(8 min read)

Feb 03, 2024 [[Notes - ADS HT24, Matchings]]U

(24 min read)

Feb 01, 2024 [[Notes - Rings and Modules HT24, Factorisation]]U

(8 min read)

Feb 01, 2024 [[Notes - Rings and Modules HT24, Fields]]U

(16 min read)

Jan 31, 2024 [[Notes - Complex Analysis MT23, Misc]]U

(5 min read)

Jan 31, 2024 [[Notes - Rings and Modules HT24, Euclidean domains]]U

(5 min read)

Jan 31, 2024 [[Notes - Rings and Modules HT24, Prime and maximal ideals]]U

(8 min read)

Jan 25, 2024 [[Notes - Numerical Analysis HT24, Eigenvalue problems]]U

(3 min read)

Jan 25, 2024 [[Notes - Numerical Analysis HT24, Singular value decomposition]]U

(15 min read)

Jan 25, 2024 [[Notes - Numerical Analysis HT24, Least-squares]]U

(3 min read)

Jan 24, 2024 [[Notes - ADS HT24, Flow networks]]U

(27 min read)

Jan 23, 2024 [[Notes - ADS HT24, Splay trees]]U

(15 min read)

Jan 23, 2024 [[Notes - ADS HT24, Red-black trees]]U

(9 min read)

Jan 22, 2024 [[Notes - ADS HT24, Binary search trees]]U

(4 min read)

Jan 22, 2024 [[Notes - Numerical Analysis HT24, QR factorisation]]U

(6 min read)

Jan 22, 2024 [[Notes - Numerical Analysis HT24, LU factorisation and Gaussian elimination]]U

(7 min read)

Jan 22, 2024 [[Notes - Numerical Analysis HT24, Lagrange interpolation]]U

(4 min read)

Jan 19, 2024 [[Notes - ADS HT24, Disjoint sets]]U

(12 min read)

Jan 19, 2024 [[Notes - ADS HT24, Amortised analysis]]U

(16 min read)

Jan 18, 2024 [[Notes - Rings and Modules HT24, Ring quotients]]U

(4 min read)

Jan 18, 2024 [[Notes - Rings and Modules HT24, Ideals]]U

(5 min read)

Jan 18, 2024 [[Notes - Rings and Modules HT24, Integral domains]]U

(2 min read)

Jan 18, 2024 [[Notes - Rings and Modules HT24, Basic definitions for rings]]U

(5 min read)

Jan 16, 2024 [[Notes - Quantum Information HT24, Dense coding protocol]]U

(3 min read)

Jan 16, 2024 [[Notes - Quantum Information HT24, No-signalling theorem]]U

(4 min read)

Jan 16, 2024 [[Notes - Quantum Information HT24, Quantum steering]]U

(10 min read)

Jan 16, 2024 [[Notes - Quantum Information HT24, Tensor products]]U

(3 min read)

Jan 16, 2024 [[Notes - Quantum Information HT24, Composite systems and entanglement]]U

(11 min read)

Jan 15, 2024 [[Notes - Quantum Information HT24, Bloch sphere]]U

(11 min read)

Jan 15, 2024 [[Notes - Quantum Information HT24, Unitary transformations and reversible processes]]U

(4 min read)

Jan 15, 2024 [[Notes - Quantum Information HT24, Basic measurements]]U

(4 min read)

Jan 15, 2024 [[Notes - Quantum Information HT24, Qubits]]U

(2 min read)

Jan 15, 2024 [[Notes - Quantum Information HT24, Bra-ket notation]]U

(4 min read)

Jan 11, 2024 [[Course - Algorithms and Data Structures HT24]]U

(3 min read)

Jan 11, 2024 [[Course - Quantum Information HT24]]U

(4 min read)

Jan 11, 2024 [[Course - Numerical Analysis HT24]]U

(3 min read)

Jan 11, 2024 [[Course - Rings and Modules HT24]]U

(3 min read)

Jan 02, 2024 [[Notes - Machine Learning MT23, Clustering]]U

(2 min read)

Jan 02, 2024 [[Notes - Machine Learning MT23, Singular value decomposition]]U

(5 min read)

Jan 02, 2024 [[Notes - Machine Learning MT23, Principal component analysis]]U

(11 min read)

Dec 21, 2023 [[Notes - Machine Learning MT23, Recurrent neural networks]]U

(15 min read)

Dec 21, 2023 [[Notes - Machine Learning MT23, Convolutional neural networks]]U

(7 min read)

Dec 21, 2023 [[Lecture - Machine Learning MT23, XVIII]]U

(1 min read)

Dec 21, 2023 [[Lecture - Machine Learning MT23, XVII]]U

(1 min read)

Dec 21, 2023 [[Lecture - Machine Learning MT23, XVI]]U

(1 min read)

Dec 21, 2023 [[Lecture - Machine Learning MT23, XV]]U

(1 min read)

Dec 21, 2023 [[Notes - Machine Learning MT23, Neural networks]]U

(13 min read)

Dec 20, 2023 [[Lecture - Models of Computation MT23, XVI]]U

(1 min read)

Dec 20, 2023 [[Lecture - Models of Computation MT23, XV]]U

(1 min read)

Dec 20, 2023 [[Lecture - Models of Computation MT23, XIV]]U

(1 min read)

Dec 20, 2023 [[Lecture - Models of Computation MT23, XIII]]U

(1 min read)

Dec 20, 2023 [[Lecture - Models of Computation MT23, XII]]U

(1 min read)

Dec 20, 2023 [[Lecture - Models of Computation MT23, XI]]U

(1 min read)

Dec 20, 2023 [[Notes - Models of Computation MT23, Complexity]]U

(9 min read)

Dec 20, 2023 [[Notes - Models of Computation MT23, Post correspondence problem]]U

(3 min read)

Dec 20, 2023 [[Notes - Models of Computation MT23, Rice's theorem]]U

(4 min read)

Dec 19, 2023 [[Notes - Models of Computation MT23, Decidability]]U

(8 min read)

Dec 19, 2023 [[Lecture - Linear Algebra MT23, XVI]]U

(1 min read)

Dec 19, 2023 [[Lecture - Linear Algebra MT23, XV]]U

(1 min read)

Dec 17, 2023 [[Notes - Complex Analysis MT23, Dirichlet problem]]U

(2 min read)

Dec 17, 2023 [[Notes - Complex Analysis MT23, Conformal maps]]U

(7 min read)

Dec 15, 2023 [[Notes - Complex Analysis MT23, Residue theorem]]U

(6 min read)

Dec 14, 2023 [[Notes - Complex Analysis MT23, Open mapping theorem]]U

(6 min read)

Dec 14, 2023 [[Notes - Complex Analysis MT23, Argument principle]]U

(5 min read)

Dec 14, 2023 [[Lecture - Machine Learning MT23, XX]]U

(1 min read)

Dec 14, 2023 [[Lecture - Machine Learning MT23, XIX]]U

(1 min read)

Nov 24, 2023 [[Notes - Linear Algebra MT23, Orthogonal, unitary and normal transformations]]U

(20 min read)

Nov 23, 2023 [[Notes - Linear Algebra MT23, Adjoints]]U

(14 min read)

Nov 23, 2023 [[Lecture - Linear Algebra MT23, XIV]]U

(1 min read)

Nov 23, 2023 [[Notes - Linear Algebra MT23, Annihilators]]U

(11 min read)

Nov 23, 2023 [[Notes - Linear Algebra MT23, Orthogonal complements]]U

(6 min read)

Nov 23, 2023 [[Notes - Linear Algebra MT23, Orthogonal sets]]U

(2 min read)

Nov 23, 2023 [[Notes - Linear Algebra MT23, Inner product spaces]]U

(3 min read)

Nov 23, 2023 [[Lecture - Linear Algebra MT23, XIII]]U

(1 min read)

Nov 23, 2023 [[Lecture - Linear Algebra MT23, XII]]U

(1 min read)

Nov 19, 2023 [[Notes - Complex Analysis MT23, Laurent series]]U

(8 min read)

Nov 19, 2023 [[Notes - Complex Analysis MT23, Homotopies]]U

(2 min read)

Nov 19, 2023 [[Notes - Complex Analysis MT23, Identity theorem]]U

(4 min read)

Nov 19, 2023 [[Notes - Complex Analysis MT23, Zeroes, singularities and poles]]U

(12 min read)

Nov 15, 2023 [[Notes - Machine Learning MT23, Classification]]U

(7 min read)

Nov 15, 2023 [[Notes - Machine Learning MT23, Kernels]]U

(3 min read)

Nov 15, 2023 [[Notes - Machine Learning MT23, Optimisation]]U

(5 min read)

Nov 15, 2023 [[Notes - Machine Learning MT23, Support vector machines]]U

(23 min read)

Nov 15, 2023 [[Lecture - Machine Learning MT23, XIV]]U

(1 min read)

Nov 13, 2023 [[Lecture - Linear Algebra MT23, XI]]U

(1 min read)

Nov 12, 2023 [[Notes - Machine Learning MT23, Logistic regression]]U

(6 min read)

Nov 10, 2023 [[Notes - Machine Learning MT23, Gaussian discriminant analysis]]U

(10 min read)

Nov 10, 2023 [[Notes - Linear Algebra MT23, Dual spaces]]U

(7 min read)

Nov 10, 2023 [[Lecture - Linear Algebra MT23, X]]U

(1 min read)

Nov 10, 2023 [[Lecture - Linear Algebra MT23, IX]]U

(1 min read)

Nov 10, 2023 [[Notes - Models of Computation MT23, Turing machines]]U

(7 min read)

Nov 10, 2023 [[Lecture - Machine Learning MT23, XIII]]U

(1 min read)

Nov 10, 2023 [[Lecture - Machine Learning MT23, XII]]U

(1 min read)

Nov 10, 2023 [[Lecture - Machine Learning MT23, XI]]U

(1 min read)

Nov 10, 2023 [[Lecture - Models of Computation MT23, X]]U

(1 min read)

Nov 10, 2023 [[Lecture - Models of Computation MT23, IX]]U

(1 min read)

Nov 10, 2023 [[Lecture - Complex Analysis MT23, V]]U

(1 min read)

Nov 07, 2023 [[Notes - Complex Analysis MT23, Cauchy's integral formula]]U

(8 min read)

Nov 07, 2023 [[Notes - Complex Analysis MT23, Cauchy's theorem]]U

(11 min read)

Nov 07, 2023 [[Notes - Complex Analysis MT23, Analytic functions]]U

(1 min read)

Nov 07, 2023 [[Notes - Complex Analysis MT23, Winding numbers]]U

(8 min read)

Nov 04, 2023 [[Notes - Machine Learning MT23, Naïve Bayes classifiers]]U

(5 min read)

Nov 02, 2023 [[Notes - Machine Learning MT23, Generative models]]U

(5 min read)

Nov 02, 2023 [[Lecture - Machine Learning MT23, X]]U

(1 min read)

Nov 02, 2023 [[Notes - Complex Analysis MT23, Multifunctions and branch cuts]]U

(4 min read)

Nov 02, 2023 [[Lecture - Complex Analysis MT23, IV]]U

(1 min read)

Nov 02, 2023 [[Notes - Linear Algebra MT23, Jordan normal form]]U

(7 min read)

Nov 02, 2023 [[Lecture - Linear Algebra MT23, VIII]]U

(1 min read)

Nov 01, 2023 [[Notes - Models of Computation MT23, NPDAs]]U

(11 min read)

Nov 01, 2023 [[Lecture - Models of Computation MT23, VIII]]U

(1 min read)

Oct 31, 2023 [[Lecture - Complex Analysis MT23, III]]U

(1 min read)

Oct 31, 2023 [[Lecture - Complex Analysis MT23, II]]U

(1 min read)

Oct 31, 2023 [[Notes - Linear Algebra MT23, Primary decomposition theorem]]U

(9 min read)

Oct 31, 2023 [[Lecture - Linear Algebra MT23, VII]]U

(1 min read)

Oct 31, 2023 [[Notes - Models of Computation MT23, Context-free grammars]]U

(14 min read)

Oct 31, 2023 [[Lecture - Models of Computation MT23, VII]]U

(1 min read)

Oct 29, 2023 [[Notes - Machine Learning MT23, Gradient descent]]U

(3 min read)

Oct 29, 2023 [[Lecture - Machine Learning MT23, IX]]U

(1 min read)

Oct 27, 2023 [[Notes - Machine Learning MT23, Convex optimisation]]U

(3 min read)

Oct 27, 2023 [[Lecture - Machine Learning MT23, VIII]]U

(1 min read)

Oct 26, 2023 [[Notes - Machine Learning MT23, Bayesian machine learning]]U

(14 min read)

Oct 26, 2023 [[Lecture - Machine Learning MT23, VII]]U

(1 min read)

Oct 26, 2023 [[Lecture - Complex Analysis MT23, I]]U

(1 min read)

Oct 26, 2023 [[Lecture - Metric Spaces MT23, XII]]U

(1 min read)

Oct 26, 2023 [[Notes - Linear Algebra MT23, Cayley-Hamilton theorem]]U

(4 min read)

Oct 26, 2023 [[Notes - Linear Algebra MT23, Invariant subspaces]]U

(2 min read)

Oct 26, 2023 [[Lecture - Linear Algebra MT23, VI]]U

(1 min read)

Oct 25, 2023 [[Lecture - Metric Spaces MT23, XI]]U

(1 min read)

Oct 25, 2023 [[Notes - Models of Computation MT23, Myhill-Nerode theorem]]U

(4 min read)

Oct 25, 2023 [[Lecture - Models of Computation MT23, VI]]U

(1 min read)

Oct 24, 2023 [[Lecture - Linear Algebra MT23, V]]U

(1 min read)

Oct 24, 2023 [[Lecture - Metric Spaces MT23, X]]U

(1 min read)

Oct 24, 2023 [[Notes - Machine Learning MT23, Model selection]]U

(5 min read)

Oct 23, 2023 [[Lecture - Machine Learning MT23, VI]]U

(1 min read)

Oct 23, 2023 [[Notes - Machine Learning MT23, Learning curves]]U

(1 min read)

Oct 23, 2023 [[Notes - Machine Learning MT23, Underfitting and overfitting]]U

(6 min read)

Oct 23, 2023 [[Lecture - Metric Spaces MT23, IX]]U

(1 min read)

Oct 23, 2023 [[Notes - Models of Computation MT23, Pumping lemma]]U

(6 min read)

Oct 23, 2023 [[Notes - Models of Computation MT23, Kozen's axioms]]U

(4 min read)

Oct 23, 2023 [[Lecture - Models of Computation MT23, V]]U

(1 min read)

Oct 22, 2023 [[Notes - Machine Learning MT23, Basis expansion]]U

(3 min read)

Oct 22, 2023 [[Lecture - Machine Learning MT23, V]]U

(1 min read)

Oct 22, 2023 [[Notes - Machine Learning MT23, Maximum likelihood principle]]U

(3 min read)

Oct 22, 2023 [[Notes - Machine Learning MT23, Covariance and correlation]]U

(2 min read)

Oct 22, 2023 [[Notes - Machine Learning MT23, Inverse transform sampling]]U

(1 min read)

Oct 22, 2023 [[Lecture - Machine Learning MT23, IV]]U

(1 min read)

Oct 22, 2023 [[Notes - Machine Learning MT23, Perceptrons]]U

(1 min read)

Oct 19, 2023 [[Notes - Linear Algebra MT23, Quotient spaces]]U

(4 min read)

Oct 19, 2023 [[Lecture - Linear Algebra MT23, IV]]U

(1 min read)

Oct 19, 2023 [[Lecture - Metric Spaces MT23, VIII]]U

(1 min read)

Oct 18, 2023 [[Lecture - Models of Computation MT23, IV]]U

(1 min read)

Oct 18, 2023 [[Notes - Metric Spaces MT23, Lipschitz continuity]]U

(1 min read)

Oct 18, 2023 [[Lecture - Metric Spaces MT23, VII]]U

(1 min read)

Oct 17, 2023 [[Notes - Machine Learning MT23, Misc]]U

(1 min read)

Oct 17, 2023 [[Notes - Machine Learning MT23, Matrix calculus]]U

(2 min read)

Oct 17, 2023 [[Notes - Machine Learning MT23, Linear regression]]U

(13 min read)

Oct 17, 2023 [[Lecture - Machine Learning MT23, III]]U

(1 min read)

Oct 17, 2023 [[Lecture - Machine Learning MT23, II]]U

(1 min read)

Oct 17, 2023 [[Lecture - Machine Learning MT23, I]]U

(1 min read)

Oct 17, 2023 [[Notes - Linear Algebra MT23, Minimal and characteristic polynomials]]U

(8 min read)

Oct 17, 2023 [[Lecture - Linear Algebra MT23, III]]U

(1 min read)

Oct 17, 2023 [[Lecture - Metric Spaces MT23, VI]]U

(1 min read)

Oct 17, 2023 [[Notes - Metric Spaces MT23, Equivalence]]U

(1 min read)

Oct 17, 2023 [[Lecture - Metric Spaces MT23, V]]U

(1 min read)

Oct 17, 2023 [[Notes - Models of Computation MT23, Regular expressions]]U

(7 min read)

Oct 17, 2023 [[Lecture - Models of Computation MT23, III]]U

(1 min read)

Oct 12, 2023 [[Notes - Linear Algebra MT23, Integral domains]]U

(1 min read)

Oct 12, 2023 [[Notes - Linear Algebra MT23, Rings]]U

(6 min read)

Oct 12, 2023 [[Lecture - Linear Algebra MT23, II]]U

(1 min read)

Oct 12, 2023 [[Lecture - Metric Spaces MT23, IV]]U

(1 min read)

Oct 11, 2023 [[Notes - Models of Computation MT23, Regular languages]]U

(1 min read)

Oct 11, 2023 [[Notes - Models of Computation MT23, NFAs]]U

(8 min read)

Oct 11, 2023 [[Lecture - Models of Computation MT23, II]]U

(1 min read)

Oct 11, 2023 [[Lecture - Metric Spaces MT23, III]]U

(1 min read)

Oct 11, 2023 [[Notes - Complex Analysis MT23, Paths and curves]]U

(4 min read)

Oct 11, 2023 [[Notes - Complex Analysis MT23, Complex integration]]U

(13 min read)

Oct 10, 2023 [[Lecture - Metric Spaces MT23, II]]U

(1 min read)

Oct 09, 2023 [[Notes - Models of Computation MT23, Languages]]U

(1 min read)

Oct 09, 2023 [[Notes - Models of Computation MT23, Basic definitions]]U

(1 min read)

Oct 09, 2023 [[Notes - Models of Computation MT23, DFAs]]U

(4 min read)

Oct 09, 2023 [[Lecture - Models of Computation MT23, I]]U

(1 min read)

Oct 09, 2023 [[Lecture - Metric Spaces MT23, I]]U

(1 min read)

Oct 09, 2023 [[Notes - Linear Algebra MT23, Rank-nullity theorem]]U

(1 min read)

Oct 09, 2023 [[Notes - Linear Algebra MT23, Homomorphisms]]U

(1 min read)

Oct 09, 2023 [[Notes - Linear Algebra MT23, Fields]]U

(2 min read)

Oct 09, 2023 [[Lecture - Linear Algebra MT23, I]]U

(1 min read)

Sep 24, 2023 [[Course - Models of Computation MT23]]U

(4 min read)

Sep 24, 2023 [[Course - Machine Learning MT23]]U

(5 min read)

Sep 24, 2023 [[Course - Linear Algebra MT23]]U

(4 min read)

Sep 24, 2023 [[Courses HT24]]U

(1 min read)

Sep 04, 2023 [[Notes - Complex Analysis MT23, Logarithms]]U

(2 min read)

Sep 04, 2023 [[Notes - Complex Analysis MT23, Power series]]U

(3 min read)

Sep 04, 2023 [[Notes - Complex Analysis MT23, Complex differentiability]]U

(13 min read)

Sep 02, 2023 [[Notes - Complex Analysis MT23, Möbius maps]]U

(15 min read)

Sep 02, 2023 [[Notes - Complex Analysis MT23, Extended complex plane]]U

(10 min read)

Sep 02, 2023 [[Notes - Complex Analysis MT23, Geometry]]U

(2 min read)

Sep 02, 2023 [[Notes - Complex Analysis MT23, Domains]]U

(1 min read)

Aug 28, 2023 [[Course - Complex Analysis MT23]]U

(4 min read)

Aug 28, 2023 [[Notes - Metric Spaces MT23, Compactness]]U

(24 min read)

Aug 28, 2023 [[Notes - Metric Spaces MT23, Path-connectedness]]U

(5 min read)

Aug 28, 2023 [[Notes - Metric Spaces MT23, Connectedness]]U

(11 min read)

Jul 31, 2023 [[Notes - Metric Spaces MT23, Contractions]]U

(7 min read)

Jul 31, 2023 [[Notes - Metric Spaces MT23, Completeness]]U

(9 min read)

Jul 30, 2023 [[Notes - Metric Spaces MT23, Limit points]]U

(3 min read)

Jul 30, 2023 [[Notes - Metric Spaces MT23, Interiors and closures]]U

(4 min read)

Jul 30, 2023 [[Notes - Metric Spaces MT23, Neighbourhoods]]U

(1 min read)

Jul 30, 2023 [[Notes - Metric Spaces MT23, Open and closed sets]]U

(6 min read)

Jul 21, 2023 [[Notes - Metric Spaces MT23, Homeomorphisms]]U

(1 min read)

Jul 21, 2023 [[Notes - Metric Spaces MT23, Isometries]]U

(1 min read)

Jul 21, 2023 [[Notes - Metric Spaces MT23, Function spaces]]U

(2 min read)

Jul 20, 2023 [[Notes - Metric Spaces MT23, Limits and continuity]]U

(5 min read)

Jul 20, 2023 [[Notes - Metric Spaces MT23, Boundedness]]U

(2 min read)

Jul 20, 2023 [[Notes - Metric Spaces MT23, Balls]]U

(1 min read)

Jul 20, 2023 [[Notes - Metric Spaces MT23, Product spaces]]U

(4 min read)

Jul 20, 2023 [[Notes - Metric Spaces MT23, Subspaces]]U

(1 min read)

Jul 19, 2023 [[Notes - Metric Spaces MT23, Examples]]U

(2 min read)

Jul 19, 2023 [[Notes - Metric Spaces MT23, Basic definitions]]U

(5 min read)

Jul 19, 2023 [[Course - Metric Spaces MT23]]U

(4 min read)

Jul 19, 2023 [[Courses MT23]]U

(1 min read)

Jun 21, 2023 [[Notes - Probability MT22, Random variables]]U

(11 min read)

Jun 21, 2023 [[Notes - Probability MT22, Probability spaces]]U

(4 min read)

Jun 20, 2023 [[Notes - Continuous Mathematics HT23, Lagrange multipliers]]U

(1 min read)

Jun 17, 2023 [[Notes - Linear Algebra I MT22, Rank and nullity inequalities]]U

(2 min read)

Jun 14, 2023 [[Notes - Imperative Programming TT23, Tree traversal]]U

(3 min read)

Jun 14, 2023 [[Notes - Imperative Programming TT23, Design patterns]]U

(2 min read)

Jun 11, 2023 [[List of algorithms to memorise for DAA]]U

(2 min read)

Jun 08, 2023 [[Notes - Imperative Programming TT23, GUIs]]U

(2 min read)

Jun 01, 2023 [[Notes - Probability MT22, Misc]]U

(2 min read)

May 31, 2023 [[The Most Important Proofs in Prelims Algebra]]U

(8 min read)

May 31, 2023 [[Notes - Analysis II HT23, Continuous inverse function theorem]]U

(4 min read)

May 30, 2023 [[Notes - Groups TT23, Wilson's theorem]]U

(2 min read)

May 30, 2023 [[Notes - Groups TT23, Chinese remainder theorem]]U

(2 min read)

May 29, 2023 [[The Most Important Proofs in Prelims Analysis]]U

(11 min read)

May 25, 2023 [[Notes - Groups TT23, Cayley's theorem]]U

(3 min read)

May 25, 2023 [[Lecture - Groups TT23, VIII]]U

(1 min read)

May 25, 2023 [[Notes - Groups TT23, Class equation]]U

(1 min read)

May 25, 2023 [[Notes - Groups TT23, Counting orbits]]U

(2 min read)

May 25, 2023 [[Lecture - Groups TT23, VII]]U

(1 min read)

May 25, 2023 [[Notes - Analysis III TT23, Logarithm function]]U

(1 min read)

May 25, 2023 [[Notes - Analysis III TT23, Cauchy principal value]]U

(1 min read)

May 25, 2023 [[Lecture - Analysis III TT23, VIII]]U

(1 min read)

May 25, 2023 [[Notes - Analysis III TT23, Power series]]U

(1 min read)

May 25, 2023 [[Notes - Analysis III TT23, Differentiation and limits]]U

(3 min read)

May 25, 2023 [[Lecture - Analysis III TT23, VII]]U

(1 min read)

May 23, 2023 [[Notes - DAA HT23, Strongly connected components]]U

(2 min read)

May 23, 2023 [[Notes - DAA HT23, Minimum spanning trees]]U

(6 min read)

May 23, 2023 [[Notes - DAA HT23, Shortest paths and relaxation]]U

(7 min read)

May 23, 2023 [[Notes - DAA HT23, Breadth-first search]]U

(2 min read)

May 23, 2023 [[Notes - DAA HT23, Depth-first search]]U

(11 min read)

May 23, 2023 [[Notes - Functional Programming MT22, Duality theorems]]U

(2 min read)

May 23, 2023 [[Notes - Functional Programming MT22, Common functions]]U

(4 min read)

May 23, 2023 [[Notes - Functional Programming MT22, Fold cheatsheet]]U

(8 min read)

May 19, 2023 [[Lecture - Imperative Programming TT23, XI]]U

(2 min read)

May 18, 2023 [[Lecture - Imperative Programming TT23, X]]U

(4 min read)

May 15, 2023 [[Lecture - Imperative Programming TT23, IX]]U

(1 min read)

May 12, 2023 [[Notes - Analysis III TT23, Integration and limits]]U

(2 min read)

May 12, 2023 [[Notes - Analysis III TT23, Integration by substitution]]U

(2 min read)

May 12, 2023 [[Notes - Analysis III TT23, Integration by parts]]U

(1 min read)

May 12, 2023 [[Lecture - Analysis III TT23, VI]]U

(1 min read)

May 12, 2023 [[Lecture - Imperative Programming TT23, VIII]]U

(2 min read)

May 12, 2023 [[Notes - Analysis III TT23, Fundamental theorems of calculus]]U

(3 min read)

May 12, 2023 [[Lecture - Analysis III TT23, V]]U

(1 min read)

May 12, 2023 [[Notes - Groups TT23, Cauchy's theorem]]U

(3 min read)

May 12, 2023 [[Notes - Groups TT23, Classifying groups]]U

(2 min read)

May 12, 2023 [[Lecture - Groups TT23, VI]]U

(1 min read)

May 11, 2023 [[Lecture - Imperative Programming TT23, VII]]U

(3 min read)

May 08, 2023 [[Tutorial - Groups HT23, III and IV]]U

(1 min read)

May 08, 2023 [[Notes - Groups TT23, Orbits and stabilisers]]U

(5 min read)

May 08, 2023 [[Notes - Groups TT23, Group actions]]U

(1 min read)

May 08, 2023 [[Lecture - Groups TT23, V]]U

(1 min read)

May 08, 2023 [[Lecture - Groups TT23, IV]]U

(1 min read)

May 08, 2023 [[Lecture - Groups TT23, III]]U

(1 min read)

May 08, 2023 [[Lecture - Imperative Programming TT23, VI]]U

(1 min read)

May 07, 2023 [[Lecture - Imperative Programming TT23, V]]U

(3 min read)

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

(1 min read)

May 04, 2023 [[Notes - Groups TT23, First isomorphism theorem]]U

(3 min read)

May 04, 2023 [[Lecture - Imperative Programming TT23, IV]]U

(5 min read)

May 03, 2023 [[Notes - Analysis III TT23, Riemann sums]]U

(2 min read)

May 03, 2023 [[Notes - Analysis III TT23, Integrals of monotone functions]]U

(1 min read)

May 03, 2023 [[Notes - Analysis III TT23, Integral mean value theorems]]U

(2 min read)

May 03, 2023 [[Lecture - Analysis III TT23, IV]]U

(1 min read)

May 03, 2023 [[Lecture - Analysis III TT23, III]]U

(1 min read)

May 02, 2023 [[Notes - Imperative Programming TT23, Equality]]U

(1 min read)

May 02, 2023 [[Notes - Imperative Programming TT23, Type variance]]U

(2 min read)

May 02, 2023 [[Lecture - Imperative Programming TT23, III]]U

(2 min read)

Apr 28, 2023 [[Lecture - Imperative Programming TT23, II]]U

(3 min read)

Apr 28, 2023 [[Notes - Groups TT23, Quotient groups]]U

(2 min read)

Apr 28, 2023 [[Notes - Groups HT23, Normal subgroups]]U

(3 min read)

Apr 28, 2023 [[Lecture - Groups TT23, II]]U

(1 min read)

Apr 27, 2023 [[Notes - Analysis I MT22, Rationals and irrationals]]U

(1 min read)

Apr 27, 2023 [[Lecture - Groups TT23, I]]U

(1 min read)

Apr 27, 2023 [[Course - Groups and Group Actions TT23]]U

(2 min read)

Apr 27, 2023 [[Lecture - Imperative Programming TT23, I]]U

(4 min read)

Apr 27, 2023 [[Course - Imperative Programming III TT23]]U

(2 min read)

Apr 26, 2023 [[Q - Linear Algebra II TT23 Collection, Q2]]U

(2 min read)

Apr 26, 2023 [[Q - Analysis TT23 Collection, Q7]]U

(1 min read)

Apr 26, 2023 [[Notes - Analysis III TT23, Basic theorems about the integral]]U

(6 min read)

Apr 26, 2023 [[Lecture - Analysis III TT23, II]]U

(1 min read)

Apr 24, 2023 [[Notes - Imperative Programming HT23, Testing]]U

(1 min read)

Apr 24, 2023 [[Notes - Analysis III TT23, Step functions and basic definitions]]U

(6 min read)

Apr 24, 2023 [[Lecture - Analysis III TT23, I]]U

(1 min read)

Apr 24, 2023 [[Course - Analysis III TT23]]U

(3 min read)

Apr 24, 2023 [[Courses TT23]]U

(1 min read)

Apr 18, 2023 [[Notes - Ethics and Responsible Innovation HT23, Written Reflection Plan]]U

(4 min read)

Apr 05, 2023 [[Notes - Analysis I MT22, Infimums and supremums]]U

(1 min read)

Mar 23, 2023 [[Notes - DAA HT23, Matroids]]U

(1 min read)

Mar 23, 2023 [[Notes - DAA HT23, Disjoint sets]]U

(3 min read)

Mar 23, 2023 [[Notes - DAA HT23, Greedy algorithms]]U

(1 min read)

Mar 22, 2023 [[Notes - Analysis II HT23, L'Hôpital's Rule]]U

(7 min read)

Mar 22, 2023 [[Notes - Analysis II HT23, Taylor's theorem]]U

(4 min read)

Mar 15, 2023 [[Notes - Groups HT23, Cosets]]U

(2 min read)

Mar 15, 2023 [[Notes - Groups HT23, Lagrange's theorem]]U

(3 min read)

Mar 15, 2023 [[Notes - Groups HT23, Modular arithmetic]]U

(4 min read)

Mar 15, 2023 [[Notes - Groups HT23, Equivalence relations]]U

(1 min read)

Mar 15, 2023 [[Notes - Groups HT23, HCF and LCM]]U

(2 min read)

Mar 15, 2023 [[Notes - Imperative Programming HT23, Priority queues]]U

(1 min read)

Mar 15, 2023 [[Notes - Imperative Programming HT23, Binary search trees]]U

(4 min read)

Mar 14, 2023 [[Notes - Imperative Programming HT23, Hash tables]]U

(2 min read)

Mar 14, 2023 [[Notes - Imperative Programming HT23, Bit maps]]U

(1 min read)

Mar 14, 2023 [[Lecture - Analysis II HT23, XV]]U

(1 min read)

Mar 14, 2023 [[Lecture - Analysis II HT23, XIV]]U

(1 min read)

Mar 14, 2023 [[Lecture - Analysis II HT23, XIII]]U

(1 min read)

Mar 14, 2023 [[Lecture - Imperative Programming HT23, XX]]U

(1 min read)

Mar 14, 2023 [[Lecture - Imperative Programming HT23, XIX]]U

(1 min read)

Mar 14, 2023 [[Lecture - Imperative Programming HT23, XVII]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, XIV]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, XIII]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, XVI]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, XII]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, XV]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, XI]]U

(1 min read)

Mar 14, 2023 [[Lecture - DAA HT23, X]]U

(1 min read)

Mar 03, 2023 [[Lecture - Imperative Programming HT23, XVIII]]U

(1 min read)

Feb 27, 2023 [[Notes - Analysis II HT23, Binomial theorem]]U

(4 min read)

Feb 27, 2023 [[Lecture - Analysis II HT23, XII]]U

(1 min read)

Feb 27, 2023 [[Notes - Analysis II HT23, Constancy theorem]]U

(1 min read)

Feb 27, 2023 [[Notes - Analysis II HT23, Mean value theorems]]U

(6 min read)

Feb 27, 2023 [[Lecture - Continuous Mathematics HT23, XII]]U

(1 min read)

Feb 27, 2023 [[Lecture - Continuous Mathematics HT23, XI]]U

(1 min read)

Feb 27, 2023 [[Notes - Analysis II HT23, Extrema]]U

(3 min read)

Feb 27, 2023 [[Lecture - Analysis II HT23, XI]]U

(1 min read)

Feb 24, 2023 [[Lecture - Imperative Programming HT23, XVI]]U

(1 min read)

Feb 24, 2023 [[Notes - Groups HT23, Permutations]]U

(9 min read)

Feb 22, 2023 [[Lecture - Imperative Programming HT23, XV]]U

(1 min read)

Feb 19, 2023 [[Notes - Analysis II HT23, Differentiation theorem]]U

(3 min read)

Feb 19, 2023 [[Lecture - Analysis II HT23, X]]U

(1 min read)

Feb 17, 2023 [[Notes - Groups HT23, Homomorphisms]]U

(6 min read)

Feb 17, 2023 [[Notes - Groups HT23, Cayley tables]]U

(1 min read)

Feb 17, 2023 [[Notes - Groups HT23, Cyclic groups]]U

(3 min read)

Feb 17, 2023 [[Notes - Groups HT23, Special groups]]U

(2 min read)

Feb 17, 2023 [[Notes - Groups HT23, Subgroups]]U

(3 min read)

Feb 17, 2023 [[Notes - Analysis II HT23, Differentiation]]U

(7 min read)

Feb 17, 2023 [[Lecture - Analysis II HT23, IX]]U

(1 min read)

Feb 17, 2023 [[Lecture - Imperative Programming HT23, XIV]]U

(2 min read)

Feb 16, 2023 [[Lecture - Continuous Mathematics HT23, X]]U

(1 min read)

Feb 16, 2023 [[Notes - Linear Algebra II HT23, Quadratic forms]]U

(4 min read)

Feb 16, 2023 [[Lecture - DAA HT23, IX]]U

(1 min read)

Feb 16, 2023 [[Notes - DAA HT23, Graphs]]U

(4 min read)

Feb 16, 2023 [[Lecture - DAA HT23, VIII]]U

(1 min read)

Feb 16, 2023 [[Lecture - Linear Algebra II HT23, VIII]]U

(1 min read)

Feb 16, 2023 [[Notes - DAA HT23, Dynamic programming]]U

(8 min read)

Feb 16, 2023 [[Lecture - DAA HT23, VII]]U

(1 min read)

Feb 16, 2023 [[Notes - Imperative Programming HT23, Linked lists]]U

(1 min read)

Feb 16, 2023 [[Notes - Imperative Programming HT23, Scala]]U

(1 min read)

Feb 16, 2023 [[Lecture - Imperative Programming HT23, XIII]]U

(1 min read)

Feb 16, 2023 [[Lecture - Imperative Programming HT23, XII]]U

(1 min read)

Feb 16, 2023 [[Lecture - Imperative Programming HT23, XI]]U

(1 min read)

Feb 16, 2023 [[Notes - Imperative Programming HT23, Abstract data types]]U

(3 min read)

Feb 16, 2023 [[Notes - Imperative Programming HT23, Object-oriented programming]]U

(2 min read)

Feb 16, 2023 [[Lecture - Imperative Programming HT23, X]]U

(1 min read)

Feb 16, 2023 [[Notes - Groups HT23, Group axioms]]U

(4 min read)

Feb 08, 2023 [[Lecture - Imperative Programming HT23, IX]]U

(1 min read)

Feb 08, 2023 [[Lecture - Analysis II HT23, VIII]]U

(1 min read)

Feb 07, 2023 [[Notes - Analysis II HT23, Uniform convergence]]U

(10 min read)

Feb 07, 2023 [[Notes - Analysis II HT23, Lipschitz continuity]]U

(1 min read)

Feb 07, 2023 [[Lecture - Analysis II HT23, VII]]U

(1 min read)

Feb 07, 2023 [[Notes - Continuous Mathematics HT23, Root-Finding]]U

(18 min read)

Feb 07, 2023 [[Lecture - Continuous Mathematics HT23, IX]]U

(1 min read)

Feb 07, 2023 [[Lecture - Linear Algebra II HT23, VII]]U

(1 min read)

Feb 07, 2023 [[Notes - Linear Algebra II HT23, Spectral theorem]]U

(7 min read)

Feb 06, 2023 [[Notes - DAA HT23, Maximum segment sum]]U

(1 min read)

Feb 06, 2023 [[Lecture - Imperative Programming HT23, VIII]]U

(1 min read)

Feb 06, 2023 [[Lecture - Imperative Programming HT23, VII]]U

(1 min read)

Feb 06, 2023 [[Notes - Linear Algebra II HT23, Gram-Schmidt process]]U

(4 min read)

Feb 06, 2023 [[Lecture - Linear Algebra II HT23, VI]]U

(1 min read)

Feb 02, 2023 [[Notes - Continuous Mathematics HT23, Convergence]]U

(3 min read)

Feb 02, 2023 [[Notes - Continuous Mathematics HT23, Floating point numbers]]U

(2 min read)

Feb 02, 2023 [[Notes - Continuous Mathematics HT23, Error]]U

(2 min read)

Feb 02, 2023 [[Lecture - Continuous Mathematics HT23, VIII]]U

(1 min read)

Feb 02, 2023 [[Notes - DAA HT23, Heaps]]U

(6 min read)

Feb 02, 2023 [[Lecture - DAA HT23, VI]]U

(1 min read)

Feb 02, 2023 [[Notes - Analysis II HT23, Uniform continuity]]U

(8 min read)

Feb 02, 2023 [[Notes - Analysis II HT23, Monotonic functions]]U

(3 min read)

Feb 02, 2023 [[Notes - Analysis II HT23, Pathological examples]]U

(2 min read)

Feb 02, 2023 [[Lecture - Analysis II HT23, VI]]U

(1 min read)

Feb 01, 2023 [[Notes - Analysis II HT23, Intervals]]U

(2 min read)

Feb 01, 2023 [[Lecture - Analysis II HT23, V]]U

(1 min read)

Feb 01, 2023 [[Lecture - Imperative Programming HT23, VI]]U

(1 min read)

Feb 01, 2023 [[Notes - DAA HT23, Fast Fourier Transform]]U

(5 min read)

Feb 01, 2023 [[Lecture - DAA HT23, V]]U

(1 min read)

Jan 30, 2023 [[Lecture - Linear Algebra II HT23, V]]U

(1 min read)

Jan 30, 2023 [[Lecture - Continuous Mathematics HT23, VII]]U

(1 min read)

Jan 30, 2023 [[Notes - Analysis II HT23, Nested interval theorem]]U

(2 min read)

Jan 30, 2023 [[Notes - Analysis II HT23, Intermediate value theorem]]U

(3 min read)

Jan 30, 2023 [[Notes - Analysis II HT23, Boundedness theorem]]U

(4 min read)

Jan 30, 2023 [[Lecture - Analysis II HT23, IV]]U

(1 min read)

Jan 28, 2023 [[Lecture - Imperative Programming HT23, V]]U

(1 min read)

Jan 28, 2023 [[Lecture - Imperative Programming HT23, IV]]U

(1 min read)

Jan 28, 2023 [[Notes - Linear Algebra II HT23, Trace]]U

(1 min read)

Jan 28, 2023 [[Notes - Linear Algebra II HT23, Eigenvectors and eigenvalues]]U

(10 min read)

Jan 28, 2023 [[Lecture - Linear Algebra II HT23, IV]]U

(1 min read)

Jan 28, 2023 [[Notes - DAA HT23, Sorting]]U

(4 min read)

Jan 28, 2023 [[Notes - Continuous Mathematics HT23, Convexity]]U

(5 min read)

Jan 28, 2023 [[Lecture - Continuous Mathematics HT23, VI]]U

(1 min read)

Jan 27, 2023 [[Notes - DAA HT23, Order statistics]]U

(2 min read)

Jan 27, 2023 [[Lecture - DAA HT23, IV]]U

(1 min read)

Jan 26, 2023 [[Notes - DAA HT23, All the algorithms]]U

(1 min read)

Jan 24, 2023 [[Notes - DAA HT23, Divide-and-conquer]]U

(8 min read)

Jan 24, 2023 [[Lecture - DAA HT23, III]]U

(1 min read)

Jan 24, 2023 [[Notes - Analysis II HT23, Continuity]]U

(2 min read)

Jan 24, 2023 [[Lecture - Analysis II HT23, III]]U

(1 min read)

Jan 24, 2023 [[Notes - Probability MT22, Expectation]]U

(5 min read)

Jan 24, 2023 [[Notes - Continuous Mathematics HT23, Definiteness]]U

(7 min read)

Jan 24, 2023 [[Lecture - Continuous Mathematics HT23, V]]U

(1 min read)

Jan 23, 2023 [[Notes - Imperative Programming HT23, Invariants]]U

(3 min read)

Jan 23, 2023 [[Lecture - Imperative Programming HT23, III]]U

(1 min read)

Jan 23, 2023 [[Lecture - Imperative Programming HT23, II]]U

(1 min read)

Jan 23, 2023 [[Notes - Continuous Mathematics HT23, Optimisation]]U

(25 min read)

Jan 23, 2023 [[Lecture - Continuous Mathematics HT23, IV]]U

(1 min read)

Jan 23, 2023 [[Notes - Analysis I MT22, Power series]]U

(4 min read)

Jan 23, 2023 [[Notes - Analysis I MT22, Integral test]]U

(3 min read)

Jan 23, 2023 [[Lecture - Linear Algebra II HT23, III]]U

(1 min read)

Jan 20, 2023 [[Notes - Linear Algebra II HT23, Matrix multiplication]]U

(3 min read)

Jan 20, 2023 [[Notes - Linear Algebra II HT23, Permutations]]U

(1 min read)

Jan 20, 2023 [[Lecture - Linear Algebra II HT23, II]]U

(1 min read)

Jan 19, 2023 [[Lecture - Continuous Mathematics HT23, III]]U

(1 min read)

Jan 19, 2023 [[Notes - DAA HT23, Asymptotic notation]]U

(2 min read)

Jan 19, 2023 [[Lecture - DAA HT23, II]]U

(1 min read)

Jan 18, 2023 [[Lecture - Analysis II HT23, II]]U

(1 min read)

Jan 18, 2023 [[Lecture - Imperative Programming HT23, I]]U

(1 min read)

Jan 17, 2023 [[Notes - Continuous Mathematics HT23, Derivatives]]U

(6 min read)

Jan 17, 2023 [[Notes - Continuous Mathematics HT23, Taylor's theorem]]U

(4 min read)

Jan 17, 2023 [[Lecture - Continuous Mathematics HT23, II]]U

(1 min read)

Jan 17, 2023 [[Lecture - DAA HT23, I]]U

(1 min read)

Jan 17, 2023 [[Notes - Analysis II HT23, Function limits]]U

(11 min read)

Jan 17, 2023 [[Notes - Analysis II HT23, Limit points]]U

(3 min read)

Jan 17, 2023 [[Lecture - Analysis II HT23, I]]U

(1 min read)

Jan 16, 2023 [[Notes - Continuous Mathematics HT23, Continuity]]U

(2 min read)

Jan 16, 2023 [[Lecture - Continuous Mathematics HT23, I]]U

(1 min read)

Jan 16, 2023 [[Lecture - Linear Algebra II HT23, I]]U

(1 min read)

Jan 16, 2023 [[Notes - Linear Algebra II HT23, Determinants]]U

(8 min read)

Jan 14, 2023 [[Course - Linear Algebra II HT23]]U

(3 min read)

Jan 14, 2023 [[Course - Groups and Group Actions HT23]]U

(2 min read)

Jan 14, 2023 [[Course - Analysis II HT23]]U

(4 min read)

Jan 14, 2023 [[Course - Imperative Programming I and II HT23]]U

(4 min read)

Jan 14, 2023 [[Course - Design and Analysis of Algorithms HT23]]U

(3 min read)

Jan 14, 2023 [[Course - Continuous Mathematics HT23]]U

(3 min read)

Jan 14, 2023 [[Notes - Analysis I MT22, Scenic viewpoint theorem]]U

(1 min read)

Jan 12, 2023 [[Proofs - Functional Programming MT22]]U

(1 min read)

Jan 12, 2023 [[Notes - Functional Programming MT22, Fold fusion]]U

(1 min read)

Jan 12, 2023 [[Notes - Probability MT22, Random sums theorem]]U

(3 min read)

Jan 08, 2023 [[Notes - Analysis I MT22, Alternating series test]]U

(4 min read)

Jan 08, 2023 [[Notes - Analysis I MT22, Cauchy sequences]]U

(3 min read)

Jan 08, 2023 [[Notes - Analysis I MT22, Triangle inequality]]U

(2 min read)

Jan 08, 2023 [[Notes - Linear Algebra I MT22, Triangle Inequality]]U

(2 min read)

Jan 08, 2023 [[Notes - Linear Algebra I MT22, Cauchy-Schwarz Inequality]]U

(3 min read)

Jan 08, 2023 [[Notes - Linear Algebra I MT22, Column rank and row rank]]U

(3 min read)

Jan 07, 2023 [[Notes - Linear Algebra I MT22, Change of basis theorem]]U

(8 min read)

Jan 07, 2023 [[Notes - Linear Algebra I MT22, Rank-Nullity Theorem]]U

(3 min read)

Jan 06, 2023 [[Notes - Linear Algebra I MT22, Dimension Formula]]U

(3 min read)

Jan 06, 2023 [[Notes - Linear Algebra I MT22, Steinitz Exchange Lemma]]U

(3 min read)

Jan 05, 2023 [[Notes - Probability MT22, Distributions]]U

(11 min read)

Jan 03, 2023 [[Notes - Analysis I MT22, Approximation property]]U

(1 min read)

Jan 03, 2023 [[Notes - Analysis I MT22, Monotone sequence theorem]]U

(2 min read)

Jan 03, 2023 [[Notes - Analysis I MT22, Limits are unique]]U

(1 min read)

Jan 03, 2023 [[Notes - Analysis I MT22, Convergent implies bounded]]U

(1 min read)

Jan 03, 2023 [[Proofs - Linear Algebra I MT22]]U

(4 min read)

Jan 03, 2023 [[Proofs - Analysis I MT22]]U

(8 min read)

Jan 03, 2023 [[Notes - Analysis I MT22, Limit inequality theorem]]U

(2 min read)

Jan 03, 2023 [[Notes - Analysis I MT22, Algebra of limits]]U

(4 min read)

Jan 02, 2023 [[Problem Sheet - Analysis I MT22, III]]U

(1 min read)

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

(2 min read)

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

(1 min read)

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

(1 min read)

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

(2 min read)

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

(1 min read)

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

(1 min read)

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

(1 min read)

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

(2 min read)

Dec 14, 2022 [[Lecture - Ethics and Responsible Innovation MT22, IV]]U

(1 min read)

Dec 14, 2022 [[Lecture - Probability MT22, XVI]]U

(1 min read)

Dec 13, 2022 [[Lecture - Analysis MT22, XV]]U

(2 min read)

Dec 13, 2022 [[Lecture - Functional Programming MT22, XVI]]U

(1 min read)

Dec 13, 2022 [[Lecture - Functional Programming MT22, XV]]U

(1 min read)

Dec 13, 2022 [[Lecture - Probability MT22, XV]]U

(1 min read)

Dec 13, 2022 [[Lecture - Analysis MT22, XIV]]U

(4 min read)

Dec 06, 2022 [[Lecture - Linear Algebra I MT22, XIV]]U

(4 min read)

Dec 06, 2022 [[Lecture - Linear Algebra MT22, XIII]]U

(2 min read)

Dec 05, 2022 [[Course - Introduction to Complex Numbers MT22]]U

(1 min read)

Dec 05, 2022 [[Courses HT23]]U

(1 min read)

Nov 26, 2022 [[Lecture - Functional Programming MT22, XIV]]U

(1 min read)

Nov 26, 2022 [[Lecture - Functional Programming MT22, XIII]]U

(1 min read)

Nov 26, 2022 [[Lecture - Functional Programming MT22, XII]]U

(1 min read)

Nov 26, 2022 [[Lecture - Linear Algebra I MT22, XII]]U

(3 min read)

Nov 26, 2022 [[Lecture - Analysis MT22, XIII]]U

(2 min read)

Nov 26, 2022 [[Lecture - Analysis MT22, XII]]U

(3 min read)

Nov 26, 2022 [[Lecture - Probability MT22, XIV]]U

(1 min read)

Nov 26, 2022 [[Lecture - Probability MT22, XIII]]U

(1 min read)

Nov 25, 2022 [[Lecture - Ethics and Responsible Innovation MT22, III]]U

(1 min read)

Nov 24, 2022 [[Lecture - Functional Programming, MT22, VIII]]U

(2 min read)

Nov 24, 2022 [[Lecture - Linear Algebra I MT22, XI]]U

(2 min read)

Nov 22, 2022 [[Problem Sheet - Analysis MT22, VI]]U

(1 min read)

Nov 20, 2022 [[Problem Sheet - Linear Algebra I MT22, V]]U

(3 min read)

Nov 19, 2022 [[Lecture - Linear Algebra I MT22, X]]U

(3 min read)

Nov 19, 2022 [[Lecture - Linear Algebra I MT22, IX]]U

(2 min read)

Nov 19, 2022 [[Lecture - Probability MT22, XII]]U

(1 min read)

Nov 19, 2022 [[Lecture - Probability MT22, XI]]U

(1 min read)

Nov 19, 2022 [[Lecture - Analysis MT22, XI]]U

(5 min read)

Nov 19, 2022 [[Lecture - Analysis MT22, X]]U

(4 min read)

Nov 18, 2022 [[Lecture - Ethics and Responsible Innovation MT22, II]]U

(2 min read)

Nov 15, 2022 [[Lecture - Functional Programming MT22, XI]]U

(4 min read)

Nov 11, 2022 [[Lecture - Probability MT22, X]]U

(1 min read)

Nov 11, 2022 [[Lecture - Analysis MT22, IX]]U

(3 min read)

Nov 11, 2022 [[Lecture - Ethics and Responsible Innovation MT22, I]]U

(2 min read)

Nov 10, 2022 [[Lecture - Linear Algebra I MT22, VIII]]U

(2 min read)

Nov 10, 2022 [[Lecture - Linear Algebra I MT22, VII]]U

(2 min read)

Nov 10, 2022 [[Lecture - Analysis MT22, VIII]]U

(3 min read)

Nov 08, 2022 [[Lecture - Functional Programming, MT22, VII]]U

(2 min read)

Nov 08, 2022 [[Lecture - Probability MT22, IX]]U

(1 min read)

Nov 05, 2022 [[Lecture - Functional Programming MT22, VI]]U

(1 min read)

Nov 05, 2022 [[Lecture - Linear Algebra I MT22, VI]]U

(3 min read)

Nov 05, 2022 [[Lecture - Linear Algebra I MT22, V]]U

(1 min read)

Nov 05, 2022 [[Lecture - Analysis MT22, VII]]U

(4 min read)

Nov 05, 2022 [[Lecture - Analysis MT22, VI]]U

(3 min read)

Nov 05, 2022 [[Lecture - Probability MT22, VIII]]U

(1 min read)

Nov 05, 2022 [[Lecture - Analysis MT22, V]]U

(3 min read)

Nov 01, 2022 [[Lecture - Analysis MT22, IV]]U

(2 min read)

Nov 01, 2022 [[Lecture - Probability MT22, VII]]U

(1 min read)

Nov 01, 2022 [[Lecture - Probability MT22, VI]]U

(1 min read)

Oct 30, 2022 [[Lecture - Functional Programming MT22, III]]U

(1 min read)

Oct 30, 2022 [[Lecture - Functional Programming MT22, I]]U

(1 min read)

Oct 28, 2022 [[Lecture - Linear Algebra I MT22, IV]]U

(1 min read)

Oct 25, 2022 [[Lecture - Linear Algebra I MT22, III]]U

(3 min read)

Oct 24, 2022 [[Lecture - Functional Programming MT22, V]]U

(1 min read)

Oct 24, 2022 [[Lecture - Probability MT22, V]]U

(1 min read)

Oct 23, 2022 [[Lecture - Probability MT22, IV]]U

(1 min read)

Oct 23, 2022 [[Lecture - Analysis MT22, III]]U

(2 min read)

Oct 20, 2022 [[Lecture - Linear Algebra I MT22, II]]U

(1 min read)

Oct 20, 2022 [[Lecture - Analysis MT22, II]]U

(1 min read)

Oct 20, 2022 [[Courses MT22]]U

(1 min read)

Oct 18, 2022 [[Lecture - Linear Algebra I MT22, I]]U

(1 min read)

Oct 18, 2022 [[Course - Linear Algebra I MT22]]U

(4 min read)

Oct 17, 2022 [[Lecture - Functional Programming MT22, II]]U

(1 min read)

Oct 17, 2022 [[Course - Functional Programming MT22]]U

(4 min read)

Oct 17, 2022 [[Lecture - Analysis MT22, I]]U

(3 min read)

Oct 17, 2022 [[Course - Analysis I MT22]]U

(4 min read)

Oct 17, 2022 [[Lecture - Probability MT22, III]]U

(1 min read)

Oct 17, 2022 [[Lecture - Probability MT22, II]]U

(1 min read)

Oct 17, 2022 [[Course - Probability MT22]]U

(3 min read)

Oct 16, 2022 [[Lecture - Introduction to University Mathematics, VI]]U

(1 min read)

Oct 16, 2022 [[Lecture - Introduction to University Mathematics, V]]U

(3 min read)

Oct 16, 2022 [[Lecture - Introduction to University Mathematics, IV]]U

(3 min read)

Oct 09, 2022 [[Lecture - Introduction to University Mathematics, III]]U

(3 min read)

Oct 09, 2022 [[Lecture - Introduction to University Mathematics, II]]U

(3 min read)

Oct 07, 2022 [[Lecture - Probability MT22, I]]U

(2 min read)

Oct 07, 2022 [[Lecture - Introduction to University Mathematics, I]]U

(3 min read)

Oct 07, 2022 [[Course - Introduction to University Mathematics MT22]]U

(2 min read)

A-level notes

Oct 01, 2025 [[Maths - Vectors]]A

(1 min read)

Oct 01, 2025 [[Mechanics - Pulleys]]A

(1 min read)

Jun 08, 2022 [[Further Maths - Misc]]A

(1 min read)

May 19, 2022 [[Further Maths - Derivatives Cheat Sheet]]A

(1 min read)

May 11, 2022 [[Computing - Misc]]A

(4 min read)

Apr 28, 2022 [[Physics - Magnetism]]A

(11 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 16; Circular Motion]]A

(3 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 18; Gravitational Fields]]A

(4 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 27; Medical Imaging]]A

(7 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 25; Radioactivity]]A

(9 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 24; Particle Physics]]A

(7 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 23; Magnetic Fields]]A

(6 min read)

Apr 20, 2022 [[Physics - Recall for Chapter 22; Electric Fields]]A

(4 min read)

Apr 18, 2022 [[Physics - Recall for Chapter 20; Cosmology]]A

(7 min read)

Apr 18, 2022 [[Physics - Recall for Chapter 21; Capacitance]]A

(4 min read)

Apr 17, 2022 [[Physics - Recall for Chapter 17; Oscillations]]A

(6 min read)

Apr 14, 2022 [[Physics - Recall for Chapter 26; Nuclear Physics]]A

(6 min read)

Apr 14, 2022 [[Physics - Recall for Chapter 19; Stars]]A

(9 min read)

Apr 05, 2022 [[Physics - Medical Imaging]]A

(21 min read)

Mar 30, 2022 [[Further Maths - Complex Sums]]A

(3 min read)

Mar 30, 2022 [[Further Maths - Simplex Algorithm]]A

(8 min read)

Mar 28, 2022 [[Physics - Nuclear Physics]]A

(7 min read)

Mar 22, 2022 [[Physics - Recall for Chapter 15; Ideal Gases]]A

(8 min read)

Mar 22, 2022 [[Further Maths - Linear Programming]]A

(3 min read)

Mar 22, 2022 [[Physics - Capacitance]]A

(7 min read)

Mar 17, 2022 [[Physics - Recall for Chapter 14; Thermal Physics]]A

(7 min read)

Mar 16, 2022 [[Computing - Storage Devices]]A

(3 min read)

Mar 16, 2022 [[Further Maths - Planarity Algorithm]]A

(2 min read)

Mar 15, 2022 [[Further Maths - Floyd's Algorithm]]A

(2 min read)

Mar 10, 2022 [[Further Maths - Simple Harmonic Motion]]A

(4 min read)

Mar 01, 2022 [[Physics - Electric Fields]]A

(6 min read)

Feb 17, 2022 [[Further Maths - Critical Path Analysis]]A

(9 min read)

Feb 10, 2022 [[Physics - Radioactivity]]A

(16 min read)

Feb 08, 2022 [[Physics - Cosmology]]A

(11 min read)

Feb 07, 2022 [[Maths - Numerical Methods]]A

(4 min read)

Feb 07, 2022 [[Physics - Beta Decay]]A

(4 min read)

Feb 07, 2022 [[Mechanics - Further Kinematics]]A

(1 min read)

Jan 31, 2022 [[Physics - Standard Model]]A

(7 min read)

Jan 26, 2022 [[Physics - Black-Body Curves]]A

(4 min read)

Jan 25, 2022 [[Physics - Hertzsprung-Russell Diagrams]]A

(3 min read)

Jan 25, 2022 [[Further Maths - Cross Product]]A

(13 min read)

Jan 20, 2022 [[Physics - The Nuclear Atom]]A

(6 min read)

Jan 19, 2022 [[Further Maths - Reducible Differential Equations]]A

(5 min read)

Jan 18, 2022 [[Physics - Objects in the Universe]]A

(3 min read)

Jan 18, 2022 [[Physics - Stellar Evolution]]A

(10 min read)

Dec 08, 2021 [[Further Maths - Numerical Methods]]A

(5 min read)

Dec 08, 2021 [[Physics - Gravitational Potential]]A

(2 min read)

Dec 06, 2021 [[Physics - Satellites]]A

(1 min read)

Dec 05, 2021 [[Further Maths - Limits]]A

(1 min read)

Dec 05, 2021 [[Maths - Superposition of Sine and Cos]]A

(1 min read)

Dec 01, 2021 [[Further Maths - Taylor Series]]A

(2 min read)

Dec 01, 2021 [[Further Maths - Weierstrass Substitution]]A

(2 min read)

Dec 01, 2021 [[Physics - Kepler's Laws]]A

(2 min read)

Nov 29, 2021 [[A-Level Notes]]A

(3 min read)

Nov 26, 2021 [[Further Maths - Travelling Salesperson Problem]]A

(12 min read)

Nov 25, 2021 [[Stats - Conditional Probability]]A

(3 min read)

Nov 25, 2021 [[Further Maths - L'Hôpital's Rule]]A

(2 min read)

Nov 24, 2021 [[Further Maths - Leibnitz's Theorem]]A

(1 min read)

Nov 20, 2021 [[Mechanics - Friction]]A

(2 min read)

Nov 20, 2021 [[Mechanics - Forces on Slopes]]A

(1 min read)

Nov 18, 2021 [[Physics - Gravitational Fields]]A

(3 min read)

Nov 17, 2021 [[Further Maths - Route Inspection]]A

(2 min read)

Nov 15, 2021 [[Further Maths - Dijkstra's Algorithm]]A

(3 min read)

Nov 09, 2021 [[Physics - Ideal Gases]]A

(6 min read)

Nov 09, 2021 [[Further Maths - Polar Coordinates]]A

(10 min read)

Nov 09, 2021 [[Maths - Small Angle Approximations]]A

(1 min read)

Nov 08, 2021 [[Further Maths - Prim's Algorithm]]A

(1 min read)

Nov 08, 2021 [[Physics - Moles]]A

(3 min read)

Nov 07, 2021 [[Further Maths - Kruskal's Algorithm]]A

(2 min read)

Nov 04, 2021 [[Further Maths - Hamiltonian Cycles]]A

(1 min read)

Nov 04, 2021 [[Further Maths - Eulerian Trails]]A

(3 min read)

Oct 20, 2021 [[Mechanics - Moments]]A

(2 min read)

Oct 13, 2021 [[Further Maths - Graphs]]A

(5 min read)

Oct 12, 2021 [[Further Maths - Bin-packing]]A

(2 min read)

Oct 12, 2021 [[Further Maths - Shuttlesort]]A

(2 min read)

Oct 10, 2021 [[Further Maths - Bubblesort]]A

(1 min read)

Oct 09, 2021 [[Further Maths - T-formulae]]A

(2 min read)

Oct 09, 2021 [[Maths - Recurrence Relations]]A

(2 min read)

Oct 06, 2021 [[Physics - Oscillations]]A

(7 min read)

Oct 05, 2021 [[Maths - Parametric Equations]]A

(1 min read)

Oct 05, 2021 [[Further Maths - Conic Sections]]A

(11 min read)

Oct 05, 2021 [[Further Maths - Inequalities]]A

(1 min read)

Sep 30, 2021 [[Computing - Abstraction]]A

(1 min read)

Sep 18, 2021 [[Maths - Series]]A

(2 min read)

Sep 10, 2021 [[Further Maths - Coupled Differential Equations]]A

(1 min read)

Sep 07, 2021 [[Maths - Modulus]]A

(1 min read)

Sep 06, 2021 [[Physics - Thermal Physics]]A

(11 min read)

Sep 03, 2021 [[Physics - Circular Motion]]A

(6 min read)

Aug 09, 2021 [[Maths - Interval Notation]]A

(2 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 13; Quantum Physics]]A

(5 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 12; Waves II]]A

(6 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 11; Waves I]]A

(8 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 10; Electrical Circuits]]A

(3 min read)

Aug 03, 2021 [[Phyiscs - Recall for Chapter 9; Energy, Power and Resistance]]A

(3 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 8; Current and Charge]]A

(4 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 7; Laws of Motion and Momentum]]A

(3 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 6; Materials]]A

(4 min read)

Aug 03, 2021 [[Phyiscs - Recall for Chapter 5; Work, Energy and Power]]A

(2 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 4; Forces in Action]]A

(6 min read)

Aug 03, 2021 [[Physics - Recall for Chapter 3; Motion]]A

(4 min read)

Jul 07, 2021 [[Maths - Misc]]A

(3 min read)

Jul 05, 2021 [[Maths - Compound Functions]]A

(1 min read)

Jul 05, 2021 [[Physics - Spectra]]A

(4 min read)

Jul 05, 2021 [[Maths - Functions and Mappings]]A

(2 min read)

Jun 17, 2021 [[Physics - Standing Waves]]A

(5 min read)

Jun 13, 2021 [[CTMUA]]A

(4 min read)

Jun 09, 2021 [[Physics - Wave-Particle Duality]]A

(2 min read)

Jun 06, 2021 [[Maths - Proof]]A

(1 min read)

Jun 06, 2021 [[Maths - Proof by Contradiction]]A

(1 min read)

May 25, 2021 [[Further Maths - Differential Equations]]A

(8 min read)

May 25, 2021 [[Physics - Superposition]]A

(4 min read)

May 25, 2021 [[Stats - Normal Distribution]]A

(9 min read)

May 24, 2021 [[Physics - The Photoelectric Effect]]A

(5 min read)

May 24, 2021 [[Physics - Electromagnetic Radiation]]A

(1 min read)

May 24, 2021 [[Physics - Quantum Physics]]A

(1 min read)

May 06, 2021 [[Maths - Integration by Parts]]A

(1 min read)

May 05, 2021 [[Physics - Potential Dividers]]A

(1 min read)

Apr 29, 2021 [[Further Maths - Integrating and Differentiating Inverse Trig Functions]]A

(1 min read)

Apr 28, 2021 [[Computing - Limits of Computation]]A

(1 min read)

Apr 27, 2021 [[Computing - Searching Graphs]]A

(1 min read)

Apr 27, 2021 [[Further Maths - Improper Integrals]]A

(1 min read)

Apr 27, 2021 [[Further Maths - Mean Value of a Function]]A

(1 min read)

Apr 21, 2021 [[Physics - Internal Resistance]]A

(2 min read)

Apr 19, 2021 [[Computing - Recursion]]A

(1 min read)

Mar 29, 2021 [[Physics - Young's Modulus]]A

(4 min read)

Mar 29, 2021 [[Maths - Integration by Substitution]]A

(2 min read)

Mar 25, 2021 [[Physics - Electromagnetic Waves]]A

(2 min read)

Mar 24, 2021 [[Maths - Factor Theorem]]A

(1 min read)

Mar 23, 2021 [[Maths - Quotient Rule]]A

(1 min read)

Mar 22, 2021 [[Maths - Algebraic Long Division]]A

(1 min read)

Mar 18, 2021 [[Physics - Intensity]]A

(2 min read)

Mar 18, 2021 [[Physics - Polarisation]]A

(2 min read)

Mar 16, 2021 [[Stats - Hypothesis Testing]]A

(6 min read)

Mar 15, 2021 [[Further Maths - Hyperbolic Functions]]A

(7 min read)

Mar 12, 2021 [[Computing - Big Data]]A

(1 min read)

Mar 11, 2021 [[Computing - Functional Programming]]A

(2 min read)

Mar 11, 2021 [[Physics - Diffraction]]A

(2 min read)

Mar 04, 2021 [[Further Maths - Roots of Complex Numbers]]A

(3 min read)

Mar 03, 2021 [[Further Maths - Trig Equations with Complex Numbers]]A

(3 min read)

Mar 02, 2021 [[Computing - Client & Server Model]]A

(1 min read)

Mar 01, 2021 [[Maths - Binomial Theorem]]A

(3 min read)

Feb 25, 2021 [[Physics - Reflection and Refraction]]A

(5 min read)

Feb 25, 2021 [[Physics - Oscilliscopes]]A

(1 min read)

Feb 22, 2021 [[Computing - TCP & IP Stack]]A

(8 min read)

Feb 22, 2021 [[Maths - Circle Theorems]]A

(3 min read)

Feb 22, 2021 [[Further Maths - Exponential Form of Complex Numbers]]A

(2 min read)

Feb 20, 2021 [[Maths - Reciprocal Trig Functions]]A

(2 min read)

Feb 11, 2021 [[Computing - Network Hardware]]A

(3 min read)

Feb 10, 2021 [[Computing - Structure of the Internet]]A

(4 min read)

Feb 09, 2021 [[Further Maths - Maclaurin Series]]A

(5 min read)

Feb 09, 2021 [[Maths - Product Rule]]A

(2 min read)

Feb 08, 2021 [[Computing - Social and Legal Challenges]]A

(2 min read)

Feb 08, 2021 [[Physics - Thermistors and LDRs]]A

(2 min read)

Feb 05, 2021 [[Maths - Circles]]A

(1 min read)

Feb 05, 2021 [[Computing - Thick and Thin Clients]]A

(2 min read)

Feb 05, 2021 [[Computing - Cloud Computing]]A

(1 min read)

Feb 04, 2021 [[Computing - WiFi]]A

(2 min read)

Feb 04, 2021 [[Physics - Waves]]A

(8 min read)

Feb 04, 2021 [[Stats - Binomial Distribution]]A

(6 min read)

Feb 03, 2021 [[Maths - Chain Rule]]A

(2 min read)

Feb 01, 2021 [[Computing - Topologies]]A

(4 min read)

Feb 01, 2021 [[Maths - Exponentials]]A

(4 min read)

Jan 29, 2021 [[Physics - Resistivity]]A

(3 min read)

Jan 28, 2021 [[Computing - Communication]]A

(10 min read)

Jan 27, 2021 [[Further Maths - Partial Fractions]]A

(5 min read)

Jan 27, 2021 [[Computing - Networking]]A

(7 min read)

Jan 27, 2021 [[Maths - Sketching Gradient Functions]]A

(2 min read)

Jan 27, 2021 [[Maths - Modelling with Differentiation]]A

(2 min read)

Jan 26, 2021 [[Further Maths - The Method of Differences]]A

(3 min read)

Jan 26, 2021 [[Stats - Statistical Distributions]]A

(4 min read)

Jan 22, 2021 [[Computing - Syntax Diagrams]]A

(3 min read)

Jan 22, 2021 [[Computing - Parsing]]A

(1 min read)

Jan 20, 2021 [[Physics - Resistance and Ohm's Law]]A

(6 min read)

Jan 19, 2021 [[Computing - Backus-Naur Form]]A

(3 min read)

Jan 18, 2021 [[Physics - Voltage and Potential Difference]]A

(5 min read)

Jan 15, 2021 [[Computing - Reverse Polish Notation]]A

(4 min read)

Jan 14, 2021 [[Further Maths - Dot Product]]A

(3 min read)

Jan 14, 2021 [[Further Maths - Vector Equation of a Plane]]A

(8 min read)

Jan 13, 2021 [[Computing - Turing Machines]]A

(5 min read)

Jan 12, 2021 [[Physics - Collisions in 2D]]A

(3 min read)

Jan 12, 2021 [[Computing - Regular Languages]]A

(1 min read)

Jan 12, 2021 [[Stats - Probability]]A

(3 min read)

Jan 11, 2021 [[Further Maths - Vector Equation of a Line]]A

(11 min read)

Jan 11, 2021 [[Further Maths - Vectors]]A

(7 min read)

Jan 11, 2021 [[Computing - Regular Expressions]]A

(2 min read)

Jan 08, 2021 [[Physics - Electron Drift Velocity]]A

(5 min read)

Jan 07, 2021 [[Computing - Sets]]A

(4 min read)

Jan 06, 2021 [[Maths - Transformations]]A

(4 min read)

Jan 06, 2021 [[Physics - Circuits]]A

(5 min read)

Jan 06, 2021 [[Physics - Charge and Current]]A

(6 min read)

Jan 05, 2021 [[Computing - Finite State Machines]]A

(4 min read)

Jan 05, 2021 [[Further Maths - Induction for Matrices]]A

(1 min read)

Jan 05, 2021 [[Further Maths - Induction for Divisibility]]A

(2 min read)

Jan 05, 2021 [[Mechanics - Forces and Motion]]A

(3 min read)

Dec 10, 2020 [[Stats - Correlation]]A

(5 min read)

Dec 10, 2020 [[Further Maths - Induction for Series]]A

(1 min read)

Dec 10, 2020 [[Further Maths - Induction]]A

(3 min read)

Dec 08, 2020 [[Computing - Object Oriented Programming]]A

(5 min read)

Dec 07, 2020 [[Maths - Indicies]]A

(1 min read)

Dec 03, 2020 [[Maths - CAST]]A

(2 min read)

Dec 03, 2020 [[Physics - Momentum]]A

(3 min read)

Nov 30, 2020 [[Computing - Input & Output Devices]]A

(4 min read)

Nov 30, 2020 [[Maths - Trigonometry Identities]]A

(2 min read)

Nov 30, 2020 [[Physics - Elastic Potential Energy]]A

(2 min read)

Nov 25, 2020 [[Maths - Multiple Trig Solutions]]A

(4 min read)

Nov 24, 2020 [[Further Maths - Linear Transformations]]A

(24 min read)

Nov 24, 2020 [[Computing - Databases]]A

(7 min read)

Nov 23, 2020 [[Physics - Power]]A

(2 min read)

Nov 23, 2020 [[Physics - Energy]]A

(3 min read)

Nov 23, 2020 [[Physics - Work Done]]A

(1 min read)

Nov 23, 2020 [[Computing - SQL]]A

(10 min read)

Nov 20, 2020 [[Maths - Cosine Rule]]A

(4 min read)

Nov 19, 2020 [[Maths - Angle Facts]]A

(2 min read)

Nov 19, 2020 [[Further Maths - Regions in the Argand Diagram]]A

(2 min read)

Nov 18, 2020 [[Maths - Sine Rule]]A

(2 min read)

Nov 18, 2020 [[Maths - Bearings]]A

(1 min read)

Nov 17, 2020 [[Stats - Histograms]]A

(2 min read)

Nov 16, 2020 [[Physics - Hooke's Law]]A

(7 min read)

Nov 12, 2020 [[Stats - Cumulative Frequency]]A

(2 min read)

Nov 11, 2020 [[Further Maths - Loci in the Argand Diagram]]A

(9 min read)

Nov 11, 2020 [[Further Maths - Odd and Even Functions]]A

(1 min read)

Nov 11, 2020 [[Physics - Archimedes' Principle]]A

(4 min read)

Nov 11, 2020 [[Maths - Regions]]A

(1 min read)

Nov 09, 2020 [[Computing - Vectors]]A

(3 min read)

Nov 09, 2020 [[Physics - Pressure]]A

(3 min read)

Nov 09, 2020 [[Further Maths - Trigonometry Values]]A

(6 min read)

Nov 06, 2020 [[Computing - Trees]]A

(5 min read)

Nov 05, 2020 [[Further Maths - Polar Form]]A

(8 min read)

Nov 05, 2020 [[Computing - Graphs]]A

(4 min read)

Nov 04, 2020 [[Maths - Inequalities]]A

(2 min read)

Nov 03, 2020 [[Stats - Outliers]]A

(2 min read)

Nov 03, 2020 [[Computing - Hash Tables]]A

(2 min read)

Nov 02, 2020 [[Maths - Set Notation for Inequalities]]A

(2 min read)

Oct 24, 2020 [[Physics - Density]]A

(1 min read)

Oct 24, 2020 [[Maths - Discriminant]]A

(3 min read)

Oct 24, 2020 [[Maths - Simultaneous Equations]]A

(1 min read)

Oct 23, 2020 [[Computing - Stacks]]A

(1 min read)

Oct 22, 2020 [[Stats - Coding]]A

(3 min read)

Oct 22, 2020 [[Computing - Number Systems]]A

(1 min read)

Oct 20, 2020 [[Physics - Projectiles]]A

(3 min read)

Oct 19, 2020 [[Further Maths - Roots of Polynomials]]A

(15 min read)

Oct 19, 2020 [[Maths - Quadratic Modelling]]A

(1 min read)

Oct 17, 2020 [[Physics - Equilibrium]]A

(1 min read)

Oct 16, 2020 [[Computing - Encryption]]A

(3 min read)

Oct 16, 2020 [[Computing - Compression]]A

(2 min read)

Oct 15, 2020 [[Computing - MIDI]]A

(1 min read)

Oct 15, 2020 [[Computing - Sound]]A

(3 min read)

Oct 14, 2020 [[Further Maths - Radians]]A

(2 min read)

Oct 14, 2020 [[Maths - Completing the Square]]A

(1 min read)

Oct 13, 2020 [[Physics - Calculating Acceleration Due To Gravity]]A

(5 min read)

Oct 13, 2020 [[Computing - Images]]A

(3 min read)

Oct 12, 2020 [[Physics - Moments]]A

(2 min read)

Oct 12, 2020 [[Computing - The Processor]]A

(7 min read)

Oct 11, 2020 [[Maths - Quartics]]A

(1 min read)

Oct 11, 2020 [[Physics - Free Fall]]A

(4 min read)

Oct 08, 2020 [[Stats - Median, Quartiles and Percentiles]]A

(4 min read)

Oct 08, 2020 [[Physics - Stopping Distances]]A

(4 min read)

Oct 08, 2020 [[Further Maths - Volumes of Revolutions]]A

(5 min read)

Oct 06, 2020 [[Maths - Integration]]A

(7 min read)

Oct 06, 2020 [[Maths - Differentiation]]A

(12 min read)

Oct 06, 2020 [[Mechanics - SUVAT Equations]]A

(2 min read)

Oct 06, 2020 [[Computing - Binary]]A

(13 min read)

Oct 06, 2020 [[Computing - Data Representation]]A

(1 min read)

Oct 05, 2020 [[Physics - Misc]]A

(5 min read)

Oct 05, 2020 [[Maths - Sketching Graphs]]A

(2 min read)

Oct 04, 2020 [[Computing - Queues]]A

(6 min read)

Oct 03, 2020 [[Physics - Force and Newtons]]A

(9 min read)

Oct 03, 2020 [[Maths - Quadratics Tips and Tricks]]A

(2 min read)

Oct 02, 2020 [[Computing - AQA Assembly]]A

(9 min read)

Oct 01, 2020 [[Further Maths - Solving Systems of Equations Using Triangle Method]]A

(2 min read)

Oct 01, 2020 [[Physics - SUVAT Equations]]A

(3 min read)

Sep 30, 2020 [[Computing - Harvard vs Von Neumann Architecture]]A

(1 min read)

Sep 29, 2020 [[Stats - Large Data Sets]]A

(7 min read)

Sep 29, 2020 [[Stats - Data Collection]]A

(3 min read)

Sep 28, 2020 [[Computing - Computer Organisation and Architecture]]A

(6 min read)

Sep 25, 2020 [[Further Maths - Solving Systems of Equations Using Matricies]]A

(6 min read)

Sep 25, 2020 [[Further Maths - Inverting Matricies]]A

(5 min read)

Sep 25, 2020 [[Further Maths - Determinants]]A

(3 min read)

Sep 24, 2020 [[Computing - Little Man Computer]]A

(5 min read)

Sep 23, 2020 [[Further Maths - Matricies]]A

(7 min read)

Sep 23, 2020 [[Maths - Proof Roots of Primes are Irrational]]A

(3 min read)

Sep 23, 2020 [[Maths - Surds]]A

(1 min read)

Sep 22, 2020 [[Physics - Syllabus]]A

(7 min read)

Sep 22, 2020 [[Mechanics - Vectors]]A

(2 min read)

Sep 21, 2020 [[Physics - Resolving Vectors]]A

(3 min read)

Sep 21, 2020 [[Physics - Combining Vectors]]A

(2 min read)

Sep 21, 2020 [[Maths - Quadratic and Straight Line Intersections]]A

(2 min read)

Sep 21, 2020 [[Maths - Linear Models]]A

(2 min read)

Sep 21, 2020 [[Maths - Triangles in a Co-ordinate System]]A

(2 min read)

Sep 21, 2020 [[Further Maths - Series Tips and Tricks]]A

(1 min read)

Sep 21, 2020 [[Computing - Programming Languages]]A

(5 min read)

Sep 17, 2020 [[Physics - Galileo's Slope Experiment]]A

(3 min read)

Sep 16, 2020 [[Further Maths - Sums of Squares]]A

(1 min read)

Sep 16, 2020 [[Further Maths - Sums of Cubes]]A

(1 min read)

Sep 16, 2020 [[Computing - Libraries]]A

(1 min read)

Sep 15, 2020 [[Stats - Populations and Sampling]]A

(9 min read)

Sep 14, 2020 [[Computing - Translators and Machine Code]]A

(1 min read)

Sep 14, 2020 [[Computing - Hardware and Software]]A

(6 min read)

Sep 14, 2020 [[Further Maths - Sums of Natural Numbers]]A

(2 min read)

Sep 14, 2020 [[Further Maths - Series]]A

(5 min read)

Sep 13, 2020 [[Maths - Straight Line Graphs]]A

(2 min read)

Sep 13, 2020 [[Physics - Uncertainty]]A

(3 min read)

Sep 11, 2020 [[Physics - Vernier Callipers and Micrometers]]A

(2 min read)

Sep 11, 2020 [[Stats - Variance and Standard Deviation]]A

(2 min read)

Sep 10, 2020 [[Stats - Mean]]A

(2 min read)

Sep 10, 2020 [[Stats - Measures]]A

(1 min read)

Sep 10, 2020 [[Stats - Notation]]A

(1 min read)

Sep 10, 2020 [[Physics - Vectors and Scalars]]A

(3 min read)

Sep 08, 2020 [[Mechanics - Forces]]A

(3 min read)

Sep 08, 2020 [[Mechanics - Models]]A

(8 min read)

Sep 08, 2020 [[Computing - Boolean Algebra]]A

(5 min read)

Sep 07, 2020 [[Further Maths - Argand Diagrams]]A

(3 min read)

Sep 07, 2020 [[Further Maths - Conjugates]]A

(3 min read)

Sep 07, 2020 [[Physics - Units and Prefixes]]A

(7 min read)

Sep 07, 2020 [[Computing - Logic Gates]]A

(8 min read)

Sep 05, 2020 [[Computing - Syllabus]]A

(7 min read)

Sep 05, 2020 [[Further Maths - Syllabus]]A

(7 min read)

Sep 05, 2020 [[Maths - Syllabus]]A

(5 min read)

Sep 04, 2020 [[Computing - Operating Systems]]A

(5 min read)

Sep 03, 2020 [[Further Maths - Cubics]]A

(1 min read)

Sep 03, 2020 [[Further Maths - Complex Numbers]]A

(7 min read)