maths2u
Depth
A mathematics degree you can read

Every theorem,
proved in full.

Each result states its hypotheses, proves every step, shows what fails when a hypothesis is dropped, and lands with worked examples and problems. The sister reference to physics2u.

144
theorems
25
units · 4 phases
6
threads

Choose a subject

Four connected references on one site. Same layout, same standard of rigour.

PhysicsMechanics to quantum fields. Every derivation declares its assumptions and where it breaks.24 units · 425 derivations · 210 lecture notesMathsProof to Galois theory. Every theorem proved in full, with what fails without each hypothesis.25 units · 144 theoremsChemistryAtoms to reaction dynamics. Every result with its conditions and the regime where it breaks down.25 units · 135 resultsBiologyCells to ecosystems. Every concept with its assumptions, mechanism and the conditions where it holds.25 units · 133 concepts

Learning path · Maths

Work through the phases in order: each unit builds only on the units before it. Units you have opened on this device are ticked.

  1. Phase 1
    1. MU-101Foundations & Mathematical Proof
    2. MU-102Calculus I
    3. MU-103Linear Algebra I
    4. MU-104Analysis I — Sequences & Series
    5. MU-105Discrete Mathematics
    6. MU-106Probability I
  2. Phase 2
    1. MU-201Real Analysis
    2. MU-202Linear Algebra II
    3. MU-203Multivariable & Vector Calculus
    4. MU-204Group Theory
    5. MU-205Ordinary Differential Equations
    6. MU-206Complex Analysis
    7. MU-207Number Theory
  3. Phase 3
    1. MU-301Metric & Topological Spaces
    2. MU-302Measure & Integration
    3. MU-303Rings, Fields & Galois Theory
    4. MU-304Functional Analysis
    5. MU-305Partial Differential Equations
    6. MU-306Differential Geometry
    7. MU-307Combinatorics & Graph Theory
    8. MU-308Numerical Analysis
  4. Phase 4
    1. MU-401Algebraic Topology
    2. MU-402Representation Theory
    3. MU-403Logic & Set Theory
    4. MU-404Measure-Theoretic Probability

Three ways in

learn

Work the curriculum

Foundations to Galois theory, unit by unit. →
look up

Cite a theorem

Statement, hypotheses, proof, on one page. →
follow

Trace an idea

Structure, space, change — across the degree. →
Open access. Every page is free to read — no account, no paywall.