Calculus Cheat Sheet

Stop memorizing. Start understanding.

Struggling to keep Calculus I, II, and III straight? Drowning in formulas the night before your exam? This cheat sheet was built for exactly that moment.

Calculus Cheat Sheet: All Formulas & Concepts puts every essential formula, technique, and concept from three semesters of calculus into one fast, clean reference — organized so you can find what you need in seconds, not minutes.

What makes this different from a textbook?
One concept per page — no flipping through chapters. Every page includes a worked example so you see the formula applied, not just stated. Common mistakes are flagged with warning boxes that highlight the errors students actually make on exams. Quick-check problems let you test yourself instantly. And 12 quick-reference pages at the back compile all major formulas by topic for last-minute review.

Calculus I covers limits and continuity, all derivative rules (power, product, quotient, chain), implicit differentiation, related rates, L'Hôpital's Rule, linearization, extreme values and optimization, Mean Value Theorem, curve sketching, Newton's Method, antiderivatives, the Fundamental Theorem of Calculus, and u-substitution.

Calculus II covers integration by parts, trigonometric integrals and substitution, partial fractions, improper integrals, area between curves, volume by disk/washer and shell methods, arc length, parametric equations, polar coordinates, sequences, series and all convergence tests, power series, and Taylor and Maclaurin series.

Calculus III covers vectors and dot/cross products, lines and planes in space, vector-valued functions, partial derivatives, gradient and directional derivatives, tangent planes, multivariable optimization, Lagrange multipliers, double and triple integrals, cylindrical and spherical coordinates, vector fields, line and surface integrals, Green's, Stokes', and Divergence Theorems.

Quick Reference includes all derivative formulas, all integration formulas, trig identities, limits and continuity rules, optimization workflow, integration technique selector, series test summary, multivariable and vector calculus reference, and a final exam checklist.

Who this guide is for: university students in Calculus I–III, AP Calculus AB/BC students, engineering/physics/math majors, anyone reviewing for grad school exams, and self-learners who want a concise guide.