Prerequisite: Math 101
Text: Calculus (Early Transcendentals) by H. Anton, I. Bivens, S. Davis (7th Edition).
Objective: This is the second 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, it focuses on the study of functions of a single variable.
Content: Definite and indefinite integrals of functions of a single variable. Fundamental Theorem of Calculus. Techniques of integration. Hyperbolic functions. Applications of the definite integral to area, volume, arc length and surface of revolution. Improper integrals. Sequences and series: convergence tests, integral, comparison, ratio and root tests. Alternating series. Absolute and conditional convergence. Power series. Taylor and Maclaurin series.
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: