CalcPath
University math you can read, practice, and track — no account required.
Built for undergraduates and self-learners who want clear notes, worked examples, and instant feedback — from foundations through advanced topics.
15 subjects·139 topics
Subjects
Start with a core course or explore the full catalog.
A free university calculus course: limits, derivatives, integrals, series, differential equations, and multivariable calculus.
A free university linear algebra course: systems, matrices, determinants, vector spaces, linear maps, eigenvalues, orthogonality, inner product spaces, the spectral theorem, and the SVD.
A free university statistics course: describing data, sampling distributions, estimation and hypothesis testing, ANOVA, regression, non-parametric methods and Bayesian inference.
Advanced functions, trigonometry, complex numbers, and preparation for calculus.
Equations, functions, polynomials, exponents, and the language of symbolic mathematics.
Euclidean geometry, proofs, congruence, similarity, circles, and spatial reasoning.
Practice
Practice is built directly into the notes at two scales.
Section practice appears alongside the reading. Small, focused sets of questions let you check your understanding of individual concepts as you go.
Chapter practice offers a complete set of questions for an entire topic. These are useful for review or as a self-test before moving on.
What is included
- • Full step-by-step derivations for every major result
- • Worked examples with detailed reasoning
- • Practice problems with solutions for every chapter
- • Section-specific practice while reading
- • Chapter-level practice sets
- • Local progress tracking (sync across devices with a short code — no account needed)
This project
This is an independent hobby project. The goal is to collect clear, high-quality mathematics reference material in one place. The notes and exercises will continue to grow over time.
Help shape CalcPath with quick feedback, or support it with a small donation.