MA109 Fall 2004

College Algebra

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Table of Contents

1. Introduction and Review
   1. Solving Quadratic Equations
   2. What is a number?
   3. Order of Operations and Identities
      1. Geometric Series
      2. Binomial Theorem
      3. Order of Operations
   4. The Pythagorean Theorem and Cartesian Coordinates
      1. Pythagorean Theorem
      2. The Cartesian Coordinate System
   5. Lines and Circles
      1. Circles
      2. Lines
      3. More Properties of Lines
   6. Systems of Equations and Intersections of Curves
      1. Intersection of Circle and a Line
      2. Tangent Line to a Circle
      3. Tangent Line to a Parabola
2. Functions
   1. What is a Function?
   2. Geometric Transformations
   3. Limits and Continuity
      1. Limits
      2. Continuity
      3. Intermediate Value Theorem
      4. Asymptotes
   4. Slope of a Function
3. Polynomials
   1. Polynomials
   2. Division Theorem and Unique Factorization
   3. Taylor's Theorem for Polynomials
   4. Counting Roots of Real Polynomials
   5. The Fundamental Theorem of Algebra
   6. Solvability by Radicals
      1. Cubic Equations
      2. Quartic Equations
4. Exponential and Logarithmic Functions
   1. Infinite Series
   2. The Exponential Function
   3. The Natural Logarithm Function

Appendix: Topics of Previous MA 109 Course

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