
College Algebra 
Table of Contents
 Chapter 1: Algebra and Geometry Review
 Algebra
 Simplifying Expressions
 Solving Equations
 Solving Equations in One Variable
 Solving Systems of Equations
 Inequalities
 Geometry
 The Pythagorean Theorem
 Analytic Geometry
 Lines, Circles, and Parabolas
 Conic Sections
 Trigonometry
 Exercises
 Chapter 2: Real Numbers
 Introduction
 Sets and Functions
 Fields
 Ordered Fields
 The Natural Numbers and Induction
 The Fundamental Theorem of Arithmetic
 The Real Numbers
 Infinite Decimals
 Decimal Expansions
 Limits of Sequences
 Complex Numbers
 The Field of Complex Numbers
 Geometric Interpretation of Complex Operations
 Applications
 Translations, Reflections, and Rotations
 Angles and Trigonometry
 Exercises
 Chapter 3: Polynomial Equations
 Polynomials
 Rational Roots
 The Fundamental Theorem of Algebra
 Cubic Equations
 Quartic Equations
 Exercises
 Chapter 4: The Fundamental Theorem of Algebra
 The Overall Strategy for Proving the Fundamental Theorem
 Continuity
 More Continuous Functions
 Theorems of Bolzano and Weierstrass
 The Proof of the Fundamental Theorem of Algebra
 Exercises
 Chapter 5: Elementary Functions
 Infinite Series and Convergence
 The Exponential and Logarithm Functions
 The Trigonometric Functions
 Exercises
Revised: Aug 21, 2001
All contents © copyright 2001 K. K. Kubota. All rights reserved
