Love can reach the same level of talent, and even genius, as the discovery of differential calculus.
Lev Vygotsky

by Michael Hutchings


by Omayra Ortega




Brief Calculus

by Arizona State University

Brief Calculus is for students interested in business, economics, life science, or social sciences. Topics covered include: Functions;The derivative; Applications of the derivative; Techniques of differentiation; Logarithmic functions; Applications of the exponential and natural logarithmic functions; The definite integral; Functions of several variables; The trigonometric functions; Techniques of integration.

Multivariable Calculus (MIT)

by MIT

This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

Homework Help for Multivariable Calculus

by MIT

MIT Recitation Instructors take viewers step-by-step through solving homework problems related to Multivariable Calculus.

Single Variable Calculus

by MIT

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Calculus I

by NYU

In this course, we will study the foundations of calculus, the study of functions and their rates of change. We want you to learn how to model situations in order to solve problems. If you have already taken calculus before, we want you to gain an even deeper understanding of this fascinating subject.The derivative measures the instantaneous rate of change of a function. The definite integral measures the total accumulation of a function over an interval. These two ideas form the basis for nearly all mathematical formulas in science. The rules by which we can compute the derivative (respectively, the integral) of any function are called a calculus. The Fundamental Theorem of Calculus links the two processes of differentiation and integration in a beautiful way.Lecture 6 is not available due to copyright restrictions.

Calculus (Khan Academy)

by Khan Academy

Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists).

Differential and Integral Calculus


Differential and Integral Calculus is a course that provides insight into differential calculus and applications as well as an introduction to integration. Some clips and images may have been blurred or removed to avoid copyright infringement.

Highlights of Calculus

by MIT

Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.


by Khan Academy

Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.

Multivariable Calculus

by Berkeley

Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.