Calculus offers some of the most astounding advances in all of mathematics—reaching far beyond the two-dimensional applications learned in first-year calculus. We do not live on a sheet of paper, and in order to understand and solve rich, real-world problems of more than one variable, we need multivariable calculus, where the full depth and power of calculus is revealed.
Understanding Multivariable Calculus: Problems, Solutions, and Tips, taught by award-winning Professor Bruce H. Edwards of the University of Florida, brings the concepts of calculus together in a much deeper and more powerful way. Building from an understanding of basic concepts in Calculus I, it is a full-scope course that encompasses all the key topics of multivariable calculus, together with brief reviews of needed concepts as you go along. This course is the next step for students and professionals to expand their knowledge for work or study in mathematics, statistics, science, or engineering and to learn new methods to apply to their field of choice.
This course covers vector and multi-variable calculus. At MIT it is labeled 18.02 and is the second semester in the MIT freshman calculus sequence. Topics include vectors and matrices, parametric curves, partial derivatives, double and triple integrals, and vector calculus in 2- and 3-space. As its name suggests, multivariable calculus is the extension of calculus to more than one variable.