Study guide to CLP-3 Multivariable Calculus by Joel Feldman, Andrew Rechnitzer and Elyse Yeager (UBC): vectors, partial derivatives, optimisation and multiple integrals for BS Math and Engineering.
Study guide to CLP-1 Differential Calculus by Joel Feldman, Andrew Rechnitzer and Elyse Yeager (UBC): limits, derivatives, Taylor polynomials, optimisation and l’Hopital’s rule for BS Math and Engineering.
Free single-variable Calculus I and II textbook by David Guichard of Whitman College: 11 chapters from limits and derivatives to integration, polar curves and Taylor series.
Free Elementary Number Theory textbook by Mike Barrus and W. Edwin Clark: divisibility, primes, congruences, RSA and sums of squares, with a chapter-by-chapter study guide for BS Math.
Free Applied Discrete Structures PDF by Alan Doerr and Kenneth Levasseur — sets, logic, graph theory, groups, rings and fields for BSCS and BS Math students. CC BY-NC-SA licensed, 16 chapters.
Download Gilbert Strang’s classic MIT Calculus textbook (3rd Edition, RES.18-001) free PDF from MIT OpenCourseWare — single and multivariable calculus for BS Math and Engineering students.
Download Book of Proof by Richard Hammack free as a PDF — the standard first proof-writing textbook for BS Math and BSCS students, covering sets, logic, direct/contrapositive/contradiction proofs, induction, relations, functions and cardinality.
Download Elementary Differential Equations by William F. Trench, free PDF, Free Edition 1.01 — 10 chapters covering first order equations through linear systems, for BS Mathematics and Engineering students.
Free PDF download of Basic Analysis: Introduction to Real Analysis, Volume I by Jiri Lebl – the proof-based Real Analysis textbook for BS Mathematics, dual CC licensed, with chapter summaries, key points, and exam-focused questions.
Free 3-volume Calculus I-III textbook by Gregory Hartman (APEX Calculus), for BS Math & Engineering students. CC BY-NC 4.0 licensed, link-only download.
Free PDF of A First Course in Linear Algebra by Robert Beezer, GFDL licensed (Version 3.50), with chapter summaries, key points and FAQs for BS Math and BSCS students.
Free PDF download of Abstract Algebra: Theory and Applications by Thomas W. Judson (Annual Edition 2026) – GFDL open textbook covering group theory through Galois Theory for BS Mathematics students.