Emphasizes acquisition of solution techniques; illustrates ideas with specific example problems arising in science and engineering. Includes applications of vector differential calculus, complex variables; line-surface integrals; integral theorems; and Taylor and Laurent series, and contour integration. This is a Graduate level course.
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.
Calculus 3 is considered by most to be a very difficult course to master in the realm of Calculus. This is because you will learn about many different topics, and each topic builds on the previous. If you don't understand something early on, the chances of "catching up" are drastically reduced as time goes on.