Calculus
Change, accumulation, and what happens when we look a little closer.
0 notesA mathematical notebook
A little intuition. A little rigour.
Notes on calculus, linear algebra, probability, and the pleasure of finally seeing why.
01
Subjects
Different doors into the same habit of asking why.
Linear algebra
Spaces, maps, and the geometry hiding inside a matrix.
0 notesProbability & statistics
Reasoning carefully about uncertainty, data, and the stories they suggest.
2 notesDiscrete mathematics
Proofs, counting, graphs: small building blocks with surprisingly long consequences.
0 notes02
Reading paths
Courses and books to think alongside. One note can belong to several journeys.
MIT 18.06
A route through linear algebra, connecting calculation with the spaces it describes.
A personal reading routeLinear Algebra Done Right
An abstract companion: start with vector spaces and ask what linear maps really preserve.
A personal reading routeEssence of linear algebra
Build a geometric picture, then return to the symbols with something to recognise.
A personal reading routeCS70
The mathematical foundations behind computing: proof, discrete structure, and probability.
A personal reading route03
On the desk
Conditional probability in Python: two children, Monty Hall, and updating on evidence
The R section of Blitzstein and Hwang’s second chapter, rebuilt in Python in the style of CS61A: predicates as values, a frequency that estimates P(A|B), and a Monty Hall game split into pure logic and input.
Counting and chance in Python: simulating the matching and birthday problems
The R section of Blitzstein and Hwang’s first chapter, rebuilt in Python in the style of CS61A: small named functions, doctests, and simulations passed around as values.
04
Practice
Probability & statistics
Conditional probability in Python
Comparisons, predicates, the Monty Hall problem, and updating on evidence, in the CS61A style.
6 exercises · EnglishCounting and chance in Python
Indexing, recursion, and the matching and birthday problems, in the CS61A style.
6 exercises · English