Calculus

Welcome to the Calculus tutorials. This section covers the core concepts of differential and integral calculus, from foundational limits to advanced integration techniques and real-world applications.

Available Chapters

Ch. 1: Prerequisites for Calculus

Fill gaps in foundational math — algebra, functions, and limits — to prepare for core calculus topics.

Ch. 2: Differential Calculus – Master Derivatives

Master derivatives from the limit-based definition to differentiation rules, chain rule, and practical optimization applications.

Ch. 3: Integral Calculus – Master Integrals

Master integrals from indefinite integrals and substitution to definite integrals, the Fundamental Theorem of Calculus, and area/volume applications.

Ch. 4: Advanced Applications

Expand calculus horizons — multivariable calculus, partial derivatives, double integrals, differential equations, and series.

Ch. 5: Comprehensive Review and Practice

Solidify your calculus knowledge with an integrated review, graded practice problems, and real-world application cases.

Calculus Applications in Physical Oceanography

A practical guide to applying differential, integral, multivariable, and vector calculus concepts to real-world physical oceanography problems.

Prerequisites

A solid understanding of algebra, trigonometry, and functions is recommended before diving into calculus.