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 …

A multivariable function is just a function whose input and/or output is made up of multiple numbers. In contrast, a function with single-number inputs and single-number outputs is called a single-variable …

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 …

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

Electric and Magnetic Fields. C.6. Maxwell's Equations. C.7. Special Relativity. C.8. General Relativity - An Overview.

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 …