Chapter 1 Review of Basic Algebra 
1.1 Subsets & Properties of Real Numbers 
1.2 Integer Exponents & Scientific Notation 
1.3 Rational Exponents & Radicals 
1.4 Polynomials & More Radicals
1.5 Factoring Polynomials 
1.6 Algebraic Fractions 

Chapter 2 Equations & Inequalities 
2.1 Equations 
2.2 Applications of Linear Equations 
2.3 Quadratic Equations 
2.4 Applications of Quadratic Equations 
2.5 Complex Numbers 
2.6 Polynomial & Radical Equations 
2.7 Linear, Quadratic & Rational Inequalities 
2.8 Absolute Value 

Chapter 3 Graphs of Equations & Inequalities 
3.1 The Rectangular Coordinate System 
3.2 Slope 
3.3 Equations of Lines 
3.4 Graphs of Equations 
3.5 Proportion & Variation 

Chapter 4 Functions 
4.1 Introduction to Functions & Function Notation 
4.2 Quadratic Functions 
4.3 Polynomial & Other Functions 
4.4 Transformations of Functions 
4.5 Rational Functions 
4.6 Operations on Functions
4.7 One-to-One Functions & Inverse Functions 

Chapter 5 Exponential & Logarithmic Functions 
5.1 Exponential Functions & Their Graphs 
5.2 Applications of Exponential Functions 
5.3 Logarithmic Functions & Their Graphs 
5.4 Applications of Logarithmic Functions 
5.5 Properties of Logarithms 
5.6 Exponential & Logarithmic Equations 

Chapter 6 Polynomial Equations 
6.1 The Remainder & Factor Theorems; Synthetic Division 
6.2 Descartes' Rule of Signs & Bounds on Roots 
6.3 Rational Roots of Polynomial Equations 
6.4 Irrational Roots of Polynomial Equations 

Chapter 7 Linear Systems & Matrices
7.1 Systems of Linear Equations 
7.2 Gaussian Elimination & Matrix Methods 
7.3 Matrix Algebra 
7.4 Matrix Inversion & Solving Systems
7.5 Determinants & Cramer’s Rule
7.6 Partial Fractions 
7.7 Graphs of Linear Inequalities 
7.8 Linear Programming 

Chapter 8 Conic Sections & Nonlinear Systems 
8.1 The Circle & the Parabola 
8.2 The Ellipse 
8.3 The Hyperbola 
8.4 Solving Simultaneous Second-Degree Equations 

Chapter 9 Binomial Theorem, Sequences & Series 
9.1 The Binomial Theorem 
9.2 Sequences, Series, & Summation Notation 
9.3 Arithmetic Sequences & Series
9.4 Geometric Sequences & Series

Chapter 10 Mathematical Induction, Counting & Probability
10.1 Mathematical Induction 
10.2 Permutations & Combinations 
10.3 Probability 
10.4 Computation of Compound Probabilities 
10.5 Odds & Expected Value