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, …

Dec 29, 2020 · We extend our study of multivariable functions to functions of three variables. (One can make a function of as many variables as one likes; we limit our study to three variables.)

Nov 16, 2022 · In this section we want to go over some of the basic ideas about functions of more than one variable. First, remember that graphs of functions of two variables, \ (z = f\left ( {x,y} \right)\) are …

Jun 17, 2025 · This course covers the following topics: calculus of functions of several variables; vectors and vector-valued functions; parameterized curves and surfaces; vector fields; partial derivatives and …

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 …

May 18, 2025 · Multivariable functions extend the concept of single-variable functions to higher dimensions, such as ℝ², ℝ³, and beyond. In mathematical analysis, these functions are crucial for …

Online course covers functions of two and three variables, partial derivatives, gradients, multiple integrals, vector fields. Includes sessions, exercises and quizzes. Earn a certificate.

In this chapter we introduce multivariable functions. Such functions are defined for more than just a single variable. In the chapter we consider the same concepts as with a single variable function. …