There will be three optional lectures on these topics for students who have never studied them. Students who can not attend these lectures can read about these topics in Sections 0.1, 0.2 and 0.3 of the Part IA course kit. Students who took Math 1300 in Fall 1999 studied these topics and do not need to review them or attend the optional lectures. There is a web page for this course which contains the course outline, homework problems, and course schedule. Note that we will not cover all the sections of each chapter.
Integral calculus is the study of computing areas.
By the Fundamental Theorem of Calculus, integration is the inverse operation of differentiation. We will cover the basic techniques of computing integrals. In addition, logarithm and exponential functions will be studied. Applications will be made to computing volume, distance, mass, work and solving simple differential equations. The second part of this course studies infinite series.