Read with a purpose
Start from the syllabus and assumptions. Published units sit beside reading suggestions and their source information.
AXIOVUM
Twenty connected courses in mathematics and computing.
Explore the 2026–27 curriculum, read each course design and choose where your own study begins.
Published courses are available in every region. Start learning
Study mathematics.
Discuss the reasoning.
We are building AXIOVUM for learners and researchers who want to study mathematics and share their reasoning. We are preparing university-level courses and tools for exploring questions and writing explanations.
Our purpose and approachFind a course and check its prerequisites.
Twenty AXIOVUM courses connect mathematics, statistics, computer science and AI. Open a course to see its aims, syllabus, prerequisites and recommended reading. Current reading access is shown on its page.
Browse the full course mapMathematics
- AX26-MATH-101Linear Algebra
- AX26-MATH-102Real Analysis
- AX26-MATH-103Discrete Mathematics and Proofs
- AX26-MATH-104Groups
- AX26-MATH-105Introductory Calculus
- AX26-MATH-301Combinatorics
- AX26-MATH-302Numerical Linear Algebra
- AX26-MATH-303Fourier Analysis
- AX26-MATH-304Model Theory
- AX26-MATH-305Algebraic Topology
- AX26-MATH-306Further Functional Analysis
- AX26-MATH-307Category Theory
Statistics
Computer science
Artificial intelligence
Course reading and written work.
AXIOVUM courses combine written explanations with reading, independent written work and a short participation check. Your activity record is separate from any formal assessment.
Write and revise
Work through a derivation or counterexample in your own words, then use the short choice check to record participation. Neither step alone certifies mastery.
Read the learning method
Exchange ideas.
Share your reasoning.
AXIOVUM is developing question and writing tools. Use them, when available, to ask about a difficult step or prepare an explanation for other readers.
Questions and writing
AI Tutor
Discuss a concept, examine an assumption or ask for help with a step. Use the tutor in the learning workspace when you have access.
How the tutor works