CHAPTER 1: REAL NUMBERS AND ALGEBRAIC EXPRESSIONS
1.1 Tips for Success in Mathematics
1.2 Algebraic Expressions and Sets of Numbers
1.3 Operations on Real Numbers
Integrated Review: Algebraic Expressions and Operations on Whole Numbers
1.4 Properties of Real Numbers
CHAPTER 2: EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING
2.1 Linear Equations in One Variable
2.2 An Introduction to Problem Solving
2.3 Formulas and Problem Solving
2.4 Linear Inequalities and Problem Solving
Integrated Review: Linear Equations and Inequalities
2.5 Compound Inequalities
2.6 Absolute Value Equations
2.7 Absolute Value Inequalities
CHAPTER 3: GRAPHS AND FUNCTIONS
3.1 Graphing Equations
3.2 Introduction to Functions
3.3 Graphing Linear Functions
3.4 The Slope of the Line
3.5 Equations of Lines
Integrated Review: Linear Equations in Two Variables
3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
3.7 Graphing Linear Inequalities
Extension: Stretching and Compressing Graphs of Absolute Value Functions
CHAPTER 4: SYSTEMS OF EQUATIONS
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Systems of Linear Equations and Problem Solving
Integrated Review: Systems of Linear Equations
4.4 Solving Systems of Equations by Matrices
4.5 Systems of Linear Inequalities
4.5 Linear Programming
CHAPTER 5: MORE WORK WITH MATRICES
5.1 Matrix Operations and Solving Matrix Equations
5.2 Multiplying Matrices and Solving Applications
Integrated Review: Operations on Matrices
5.3 Solving Systems of Equations Using Determinants
5.4 Multiplicative Inverses of Matrices
5.5 Matrix Equations
CHAPTER 6: EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS
6.1 Exponents and Scientific Notation
6.2 More Work with Exponents and Scientific Notation
6.3 Polynomials and Polynomial Functions
6.4 Multiplying Polynomials
6.5 The Greatest Common Factor and Factoring by Grouping
6.6 Factoring Trinomials
6.7 Factoring by Special Products
Integrated Review: Operations on Polynomials and Factoring Strategies
6.8 Solving Equations by Factoring and Problem Solving
Extension: Even and Odd Power Functions and End Behavior
CHAPTER 7: RATIONAL EXPRESSIONS
7.1 Rational Functions and Multiplying and Dividing Rational Expressions
7.2 Adding and Subtracting Rational Expressions
7.3 Simplifying Complex Fractions
7.4 Dividing Polynomials: Long Division and Synthetic Division
7.5 Solving Equations Containing Rational Expressions
Integrated Review: Expressions and Equations Containing Rational Expressions
7.6 Rational Equations and Problem Solving
7.7 Variation and Problem Solving
CHAPTER 8: RATIONAL EXPONENTS, RADICALS, AND COMPLEX NUMBERS
8.1 Radicals and Radical Functions
8.2 Rational Exponents
8.3 Simplifying Radical Expressions
8.4 Adding, Subtracting, and Multiplying Radical Expressions
8.5 Rationalizing Denominators and Numerators of Radical Expressions
Integrated Review: Radicals and Rational Exponents
8.6 Radical Equations and Problem Solving
8.7 Complex Numbers
8.8 Standard Deviation
CHAPTER 9: QUADRATIC AND HIGHER DEGREE EQUATIONS AND FUNCTIONS
9.1 Solving Quadratic Equations by Completing the Square
9.2 Solving Quadratic Equations by the Quadratic Formula
9.3 Solving Equations by Using Quadratic Methods
Integrated Review: Summary on Solving Quadratic Equations
9.4 Zeros of Polynomial Functions
9.5 The Fundamental Theorem of Algebra
9.6 Nonlinear Inequalities in One Variable
CHAPTER 10: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
10.1 The Algebra of Functions; Composite Functions
10.2 Inverse Functions
10.3 Exponential Functions
10.4 Logarithmic Functions
10.5 Properties of Logarithms
Integrated Review: Functions and Properties of Logarithms
10.6 Common Logarithms, Natural Logarithms, and Change of Base
10.7 Exponential and Logarithmic Equations and Applications
CHAPTER 11: GRAPHING QUADRATIC FUNCTIONS, RATIONAL FUNCTIONS, AND CONIC SECTIONS
11.1 Quadratic Functions and Their Graphs
11.2 Further Graphing of Quadratic Functions
11.3 Graphing Rational Functions by Transformations
11.4 Further Graphing of Rational Functions
11.5 The Parabola and the Circle
11.6 The Ellipse and the Hyperbola
Integrated Review: Graphing Conic Sections
11.7 Solving Nonlinear Systems of Equations
11.8 Nonlinear Inequalities and Systems of Inequalities
CHAPTER 12: SEQUENCES, SERIES, AND THE BINOMIAL THEOREM
12.1 Sequences
12.2 Arithmetic and Geometric Sequences
12.3 Series
Integrated Review: Sequences and Series
12.4 Partial Sums of Arithmetic and Geometric Sequences
12.5 The Binomial Theorem
Extension: Inductive and Deductive Reasoning
CHAPTER 13: COUNTING METHODS AND PROBABILITY THEORY
13.1 The Fundamental Counting Principle
13.2 Permutations
13.3 Combinations
13.4 Fundamentals of Probability
Integrated Review
13.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
13.6 Events Involving Not and Or; Odds
13.7 Events Involving And; Conditional Probability
13.8 The Normal Distribution
Extension: Expected Value
CHAPTER 14: TRIGONOMETRIC FUNCTIONS
14.1 Angles and Radian Measure
14.2 Right Angle Trigonometry
14.3 Trigonometric Functions of Any Angle
14.4 Trigonometric Functions of Real Numbers; Periodic Functions
Integrated Review: Angles and Right Triangles
14.5 Graphs of Sine and Cosine Functions
14.6 Graph of the Tangent Function
14.7 Inverse Trigonometric Functions
14.8 Applications of Trigonometric Functions
CHAPTER 15: TRIGONOMETRIC IDENTITIES, EQUATIONS, AND APPLICATIONS
15.1 Verifying Trigonometric Identities
15.2 Sum and Difference Formulas
15.3 Double-Angle and Half-Angle Formulas
Integrated Review: What You Know
15.4 Trigonometric Equations
15.5 The Law of Sines
15.6 The Law of Cosines