1. Table of Contents
Chapter I Review Topics in Algebra 1
Set of real numbers
Integer exponents
Polynomials
Factoring polynomials
Rational expressions
Rational exponents
Properties of radicals
Set of complex numbers
Review Exercises
Chapter II Equations and Inequalities
Equations
Applications of linear equations
Quadratic Equations in one variable
Other equations in one variable
Inequalities
Polynomial and rational inequalities
Equations and Inequalities involving absolute value
Review Exercises
Chapter III graphs and equations
Points in a plane
Graphs of equations
Equations of a line
Chapter IV functions and their graphs
Functions
Function notation, operations in function and types of function
Functions as mathematical models
Quadratic functions
Graphs of polynomial functions
Graphs of rational functions
Inverse functions
Review Exercises
Chapter V exponential and logarithmic functions
Exponents and the number e
Exponential functions
Logarithmic functions
Properties of logarithmic functions
Exponential and logarithmic functions
Review exercises
Chapter VI Systems of Equations and inequalities, and matrices
Systems of linear equations in two variables
Systems of linear equations in three variables
Systems involving quadratic equations
Systems of linear inequalities and introduction to linear programming
Solutions of systems of linear equations by matrices
Determinants and cramer’s rule
Properties of matrices (Supplementary)
Solutions of linear systems by matrix inverses (supplementary)

2. Chapter VII polynomial functions and polynomial equations
Remainder theorem
Factor theorem
Synthetic division
Rational zeros of polynomial functions
Real roots of polynomial functions
Real roots of polynomial equations
Complex zeros of polynomial functions
Partial fractions
Chapter VIII selected topics in algebra
Sequences, series, and sigma notation
Mathematical induction
Arithmetic sequences and series
Geometric sequences and series
Infinite geometric series