Calculus II

MA 114-007,008,009

Fall 2007

Course Description [Bulletin Description]

MA 114 CALCULUS II. (4)

A continuation of MA 113, primarily stressing techniques of integration.

Lecture, three hours; recitation, two hours per week. Prereq: High school trigonometry or MA 112; and a grade of C or better in MA 113 or MA 132.

During the semester we will cover parts of

· Chapter 7 Inverse functions

· Chapter 8 Techniques of integration

· Chapter 11 Parametric equations and polar coordinates

· Chapter 12 Infinite sequences and series

Chapter 7 is concerned with defining and differentiating the inverse trigonometric functions, as well as exponential and logarithmic functions. Chapter 8 deals with integration techniques: integration by parts, partial fractions and trig substitution. In Chapter 11 we study parametric equations and develop formulas for arc length and area of a region bounded by a parametric curve. Chapter 12 is concerned with convergence tests for infinite sums of numbers: integral, comparison, ratio, root, absolute and alternating series tests. In this chapter we also consider special series such as Taylor series and power series.

Your main goal should be to learn the material well enough so that you can use calculus in an applied context such as biology, business and economics, computer science, engineering, chemistry, physics, or social science, etc. It is essentially impossible to passively teach mathematics; it must be actively learned. To understand what this means, consider the impossibility of learning to play tennis by listening to someone describe how to play tennis. You will not learn the material in this course by just listening to the lectures, and thinking to yourself - "Yes, I understand that". You must work the problems and make mistakes before you will begin to learn. The instructor's task is that of an assistant to help you learn as much of the material as you desire.