Mat 133 Syllabus Spring 1997

Calculus with Analytic Geometry III

Columbus State University

Department of Mathematics

4225 University Avenue

Columbus, GA 31907-5645

Telephone number: (706) 568-2292
A Unit of the University System of Georgia

Textbook: Calculus, fifth edition, Stanley Grossman, Saunders ISBN: 0-03-096420-2

Course Description: Prerequisite: MAT 132. Sequences and series, analytic geometry, polar coordinates, parametric equations, and vectors.

Chapter 8: Conic Sections and Polar Coordinates

8.1 Ellipses
8.2 Parabolas
8.3 Hyperbolas
8.4 Graphs of General Second Degree Equations and Rotation of Coordinates
8.5 Polar Coordinate System
8.6 Graphing in Polar Coordinate
8.7 Areas in Polar Coordinates

Chapter 9: Indeterminate Forms, Improper Integrals, and Taylor's Theorem

9.1 Indeterminate Form 0/0 and L'opital's Rule
9.2 Other Indeterminate Forms
9.3 Improper Integrals
9.4 Taylor's Theorem and Taylor Polynomials
9.5 Approximation Using Taylor Polynomial

Chapter 10: Infinite Series

10.1 Sequences
10.2 Bounded and Monotone Sequences
10.3 Geometric Series
10.4 Infinite Series
10.5 Comparison Test and Integral Test
10.6 Ratio Test and Root Test
10.7 Absolute and Conditional Convergence
10.8 Power Series
10.9. Differential and Integration of Power Series
10.10 Taylor and Maclaurin Series

Chapter 11: Vectors in the Plane and Space

11.1 Vector and Vector Operations
11.2 The Dot Product
11.3 The Rectangular Coordinate System in Space
11.4 Vectors in R³(Euclidean Three Space)
11.5 Lines
11.6 The Cross Product of Two Vectors
11.7 Planes
11.8 Quadratic Surfaces
11.9 Cylindrical and Spherical Coordinates

Last modified Sunday, April 06, 1997 == Dr. Jerrel Yates