# Mathematics: courses and prerequisite map — ManySpace

Canonical: https://manyspace.aporia.systems/subjects/mathematics
Updated: 2026-10-13

Mathematics on ManySpace: topics grouped into courses, each topic with the prerequisites it really needs.

## Arithmetic

- [Arithmetic](https://manyspace.aporia.systems/subjects/mathematics/arithmetic-18)

## Pre-Algebra

- [Pre-Algebra](https://manyspace.aporia.systems/subjects/mathematics/pre-algebra-19)

## Algebra I

- [Algebra I](https://manyspace.aporia.systems/subjects/mathematics/algebra-i-20)

## Euclidean Geometry

- [Euclidean Geometry](https://manyspace.aporia.systems/subjects/mathematics/euclidean-geometry-21)

## Algebra II

- [Algebra II](https://manyspace.aporia.systems/subjects/mathematics/algebra-ii-22)

## Mathematical Logic

- [Mathematical Logic](https://manyspace.aporia.systems/subjects/mathematics/mathematical-logic-25)

## Precalculus

- [Precalculus](https://manyspace.aporia.systems/subjects/mathematics/precalculus-24)

## Set Theory Foundations

- [Set Theory Foundations](https://manyspace.aporia.systems/subjects/mathematics/set-theory-foundations-26)

## Trigonometry

- [Trigonometry](https://manyspace.aporia.systems/subjects/mathematics/trigonometry-23)

## Calculus I

- [Calculus I](https://manyspace.aporia.systems/subjects/mathematics/calculus-i-29)

## Calculus II

- [Calculus II](https://manyspace.aporia.systems/subjects/mathematics/calculus-ii-30)

## Discrete Mathematics

- [Discrete Mathematics](https://manyspace.aporia.systems/subjects/mathematics/discrete-mathematics-28)

## Linear Algebra

- [Linear Algebra](https://manyspace.aporia.systems/subjects/mathematics/linear-algebra-31)

## Proof Techniques

- [Proof Techniques](https://manyspace.aporia.systems/subjects/mathematics/proof-techniques-27)

## Differential Equations

- [Differential Equations (ODE)](https://manyspace.aporia.systems/subjects/mathematics/differential-equations-ode-33)

## Multivariable Calculus

- [Multivariable Calculus](https://manyspace.aporia.systems/subjects/mathematics/multivariable-calculus-32)

## Number Theory

- [Number Theory](https://manyspace.aporia.systems/subjects/mathematics/number-theory-36)

## Optimization

- [Optimization](https://manyspace.aporia.systems/subjects/mathematics/optimization-37)

## Probability

- [Probability](https://manyspace.aporia.systems/subjects/mathematics/probability-34)

## Statistics

- [Statistics](https://manyspace.aporia.systems/subjects/mathematics/statistics-35)

## Abstract Algebra

- [Abstract Algebra](https://manyspace.aporia.systems/subjects/mathematics/abstract-algebra-39)

## Complex Analysis

- [Complex Analysis](https://manyspace.aporia.systems/subjects/mathematics/complex-analysis-40)

## Game Theory

- [Game Theory](https://manyspace.aporia.systems/subjects/mathematics/game-theory-50)

## Numerical Analysis

- [Numerical Analysis](https://manyspace.aporia.systems/subjects/mathematics/numerical-analysis-41)

## Real Analysis

- [Real Analysis](https://manyspace.aporia.systems/subjects/mathematics/real-analysis-38)

## Differential Geometry

- [Differential Geometry](https://manyspace.aporia.systems/subjects/mathematics/differential-geometry-46)

## Dynamical Systems

- [Dynamical Systems](https://manyspace.aporia.systems/subjects/mathematics/dynamical-systems-47)

## Functional Analysis

- [Functional Analysis](https://manyspace.aporia.systems/subjects/mathematics/functional-analysis-45)

## Information Theory

- [Information Theory](https://manyspace.aporia.systems/subjects/mathematics/information-theory-49)

## Measure Theory

- [Measure Theory & Lebesgue Integration](https://manyspace.aporia.systems/subjects/mathematics/measure-theory-lebesgue-integration-44)

## Partial Differential Equations

- [Partial Differential Equations](https://manyspace.aporia.systems/subjects/mathematics/partial-differential-equations-43)

## Stochastic Processes

- [Stochastic Processes](https://manyspace.aporia.systems/subjects/mathematics/stochastic-processes-48)

## Topology

- [Topology](https://manyspace.aporia.systems/subjects/mathematics/topology-42)

## Advanced Combinatorics & Graph Theory

- [Advanced Combinatorics & Graph Theory](https://manyspace.aporia.systems/subjects/mathematics/advanced-combinatorics-graph-theory-59)

## Algebraic Geometry

- [Algebraic Geometry](https://manyspace.aporia.systems/subjects/mathematics/algebraic-geometry-55)
- [Algebraic Geometry II](https://manyspace.aporia.systems/subjects/mathematics/algebraic-geometry-ii-56)

## Algebraic Topology

- [Algebraic Topology](https://manyspace.aporia.systems/subjects/mathematics/algebraic-topology-52)
- [Algebraic Topology II](https://manyspace.aporia.systems/subjects/mathematics/algebraic-topology-ii-53)

## Category Theory

- [Category Theory](https://manyspace.aporia.systems/subjects/mathematics/category-theory-54)

## Mathematical Physics

- [Mathematical Physics](https://manyspace.aporia.systems/subjects/mathematics/mathematical-physics-57)
- [Mathematical Physics II](https://manyspace.aporia.systems/subjects/mathematics/mathematical-physics-ii-58)

## Representation Theory

- [Representation Theory](https://manyspace.aporia.systems/subjects/mathematics/representation-theory-51)