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 …

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, …

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

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.

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 …

Multivariable calculus extends the notions of limits, derivatives and integrals to higher dimensions. It also considers constrained and unconstrained optimization problems and explores the three great …

C.1. Uniform Circular Motion. C.2. Conservation Laws. C.3. Kepler's Laws. C.4. Satellites and Planets. C.5. Electric and Magnetic Fields. C.6. Maxwell's Equations. C.7. Special Relativity. C.8. General …

In the study of functions of two variables, we encounter domains and ranges of functions, function graphs, and properties of functions such as continuity. In multivariable calculus we will extend all of …

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 …

Triple integrals and surface integrals in 3-space. This section provides summaries of the lectures as written by Professor Auroux to the recitation instructors.