Courses

Course hubs for notes, interactives, exercises and further reading.

Each course will have a home of its own. Lecture notes, interactives, exercises and references stay together so that a student can follow the course without hunting across the website.

COURSE DIRECTORY

Browse the courses

Choose a course to find its growing collection of notes, interactives, exercises, resources and useful links.

Elementary Number Theory

Divisibility, congruences, Diophantine equations and the arithmetic of primes.

Linear Algebra

Vector spaces, linear maps, matrices, eigenvalues and systems of linear equations.

Real Analysis

Limits, continuity, differentiation, integration and the foundations of the real numbers.

Complex Analysis

Complex functions, holomorphicity, contour integration and analytic methods.

Group Theory

Symmetry through groups, homomorphisms, group actions, quotients and structure.

Ring Theory

Rings, ideals, quotient constructions, polynomial rings and factorisation.

Probability Theory

Random variables, distributions, expectation, limit theorems and probabilistic reasoning.

Discrete Mathematics

Counting, graphs, recurrences, discrete structures and proof techniques.

PINNED

Featured course resources

Sixteen tiles, one closed kolam

A classroom-ready investigation using binary tiles to explore local constraints, connectivity and sliding-puzzle invariants.

15 Jul 2026

Latest course materials