Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to functions of several variables: the differentiation and integration of functions involving multiple …

Learn multivariable calculus—derivatives and integrals of multivariable functions, application problems, and more.

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, …

However, in multivariable calculus we want to integrate over regions other than boxes, and ensuring that we can do so takes a little work. After this is done, the chapter proceeds to two main tools for …

In fact, if I was designing a serious course in multivariable calculus for math majors, it would come after an entire semester of properly-done linear algebra first.

Fortunately, all of the \nice" functions from Calculus I are still \nice" in their multivari-able generalization. Also, all of the properties of limits developed in single variable calculus are still valid.

This is a guide to multivariable calculus from its fundamentals. We will cover differentiation of multivariable functions, the gradient, divergence, and curl operators, as well as integration in multiple …

Jun 17, 2025 · Optional sections to be arranged. Two semesters of calculus. Placement test recommended. Open to admitted Secondary School Program students by petition. Harvard College …

General Information: 01:640:251 Multivariable Calculus (4 Credits) This course covers multi-variable and vector calculus. Topics include analytic geometry of three dimensions, partial derivatives, …

In addition, the chapter on differential equations (in the multivariable version) and the section on numerical integration are largely derived from the corresponding portions of Keisler’s book. Some …