Table of Contents

CHAPTER 1: SETS AND SET OPERATIONS
Sets
Subsets
Union and Intersection of Sets
Laws of Set Operations
CHAPTER 2: NUMBER SYSTEMS AND FUNDAMENTAL ALGEBRAIC LAWS AND OPERATIONS
Decimals
Number Systems
Absolute Value
Fundamental Algebraic Laws
Basic Algebraic Operations
Operations with Fractions
Imaginary and Complex Numbers
CHAPTER 3: EXPONENTS AND RADICALS
Exponents
Radicals
Scientific Notation
Quiz: Sets and Set Operations - Exponents and Radicals
CHAPTER 4: POLYNOMIALS AND RATIONAL EXPRESSIONS
Terms and Expressions
The Polynomial
Algebraic Operations with Polynomials
Polynomial Factorization
Operations with Fractions and Rational Expressions
Quiz: Polynomials and Rational Expressions
CHAPTER 5: EQUATIONS
Equations
Basic Laws of Equality
Equations with Absolute Values
CHAPTER 6: LINEAR EQUATIONS AND SYSTEMS OF LINEAR EQUATIONS
Linear Equations
Linear Equations in Two Variables
Graphing the Solution Set
Systems of Linear Equations
Quiz: Equations - Linear Equations and Systems of Linear Equations
CHAPTER 7: INEQUALITIES
Inequality
Properties of Inequalities
Inequalities with Absolute Values
Inequalities in Two Variables
Quiz: Inequalities
CHAPTER 8: RELATIONS AND FUNCTIONS
Relations and Functions
Properties of Relations
Properties of Functions
Quiz: Relations and Functions
CHAPTER 9: QUADRATIC EQUATIONS
Quadratic Equations
Quadratic Formula
Quadratic Functions
Quadratic Equations in Two Unknowns and Systems of Equations
Solving Systems of Equations
Involving Quadratics
Quiz: Quadratic Equations
CHAPTER 10: EQUATIONS OF HIGHER ORDER
Methods to Solve Equations of Higher Order
Theory of Equations
Algebraic Theorems
Descartes' Rule of Signs
Quiz: Equations of Higher Order
CHAPTER 11: RATIO, PROPORTION, AND VARIATION
Ratio and Proportion
Variation
CHAPTER 12: LOGARITHMS
Logarithms
Logarithmic, Exponential, and Power Functions
CHAPTER 13: SEQUENCES AND SERIES
Sequences
Series
Quiz: Ratio, Proportion, and Variation - Sequences and Series
CHAPTER 14: PERMUTATIONS, COMBINATIONS, AND PROBABILITY
Permutation
Combination
Probability
Quiz: Permutations, Combinations, and Probability
CHAPTER 15: VECTORS, MATRICES, DETERMINANTS, AND SYSTEMS OF EQUATIONS
Vectors
Matrices
Determinants
Systems of Equations
CHAPTER 16: MATHEMATICAL INDUCTION AND THE BINOMIAL THEOREM
Mathematical Induction
Binomial Theorem
Quiz: Vectors, Matrices - Mathematical Induction
CHAPTER 17: PARTIAL FRACTIONS
CHAPTER 18: COMPLEX NUMBERS
DeMoivre's Theorem
Quiz: Partial Fractions - Complex Numbers
CHAPTER 19: TRIGONOMETRY AND TRIGONOMETRIC FUNCTIONS
Angles and Triangles
Trigonometric Ratios
Trigonometric Functions
Properties and Graphs of Trigonometric Functions; Trigonometric Identities and Formulas
CHAPTER 20: SOLVING TRIANGLES
Laws and Formulas
Important Concepts and Theorems
Quiz: Trigonometry and Trigonometric Functions - Solving Triangles
CHAPTER 21: INVERSE TRIGONOMETRIC FUNCTIONS AND TRIGONOMETRIC EQUATIONS
Inverse Trigonometric Functions
Trigonometric Equations
CHAPTER 22: INTRODUCTION TO ANALYTIC GEOMETRY
Quiz: Inverse Trigonometric Functions - Analytic Geometry