Prerequisite: Math 102
Text: Calculus (Early Transcendentals) by H. Anton, I. Bivens, S. Davis (7th Edition).
Objective: This is the third course of the basic sequence MATH101, MATH102, MATH201 serving as the foundation of all advanced subjects in theoretical mathematics, applied mathematics as well as engineering mathematics. The aim is to introduce students to the basic concepts and methods in calculus. As the continuation of MATH101, MATH102, it focuses on the study of functions of several variables.
Content: Polar coordinates, polar curves, area in polar coordinates. Vectors, lines, planes and surfaces. Cylindrical and spherical coordinates. Functions of two and three variables, limits and continuity. Partial derivatives, directional derivatives. Extrema of functions of two variables. Double integrals, double integrals in polar coordinates. Triple integrals, triple integrals in cylindrical and spherical coordinates.
Syllabus and home work problems:
Handouts and lecture notes: Here you will find handouts and other material supplementing the lectures. This is very important that you keep visiting (and refreshing) this link regularly as it would contain useful material to help your understanding of the lectures.
Solutions to home work: