Overview
A comprehensive overview of calculus — from prerequisites and derivatives to integrals, advanced applications, and practice.
Overview
Comprehensive tutorials on limits, derivatives, integrals, advanced applications, and real-world calculus use cases.
Ch. 1: Prerequisites
Fill gaps in foundational math — algebra, functions, and limits — to prepare for core calculus topics.
Ch. 2: Derivatives
Master derivatives — from the limit-based definition to differentiation rules, chain rule, and practical optimization applications.
Ch. 3: Integrals
Master integrals — from indefinite integrals and substitution to definite integrals, the Fundamental Theorem of Calculus, and area/volume applications.
Ch. 4: Advanced
Expand calculus horizons — multivariable calculus, partial derivatives, double integrals, differential equations, and series.
Ch. 5: Review
Solidify your calculus knowledge — integrated review, graded practice problems, and real-world application cases across physics, economics, and engineering.
Ocean Applications
A practical guide to applying differential, integral, multivariable, and vector calculus concepts to real-world physical oceanography problems.