Introduction Calculus II is the sequel to Calculus I , and so is the second Mathematics course in the Science Programme. It is generally taken in the second semester. The Science student at John Abbott will already be familiar with the notions of definite and indefinite integration from Calculus I . In Calculus II these notions are studied to a greater depth, and their use in other areas of science, such as Physics and to a lesser extent Chemistry, is explored. In addition, the course introduces the student to the concept of infinite series, and to the representation of functions by power series.
Emphasis is placed on clarity and rigour in reasoning and in the application of methods.
The student will learn to use the techniques of integration in several contexts, and to interpret the integral both as an antiderivative and as a sum of products. The basic concepts are illustrated by applying them to various problems where their application helps arrive at a solution. In this way, the course encourages the student to apply learning acquired in one context to problems arising in another. The course uses a standard college-level Calculus textbook, chosen in collaboration by the Calculus I and II course committees. To determine the indefinite integral of a function.