Raymond Barnett, Merritt College
Michael Ziegler, Deceased
Karl Byleen, Marquette University
David Sobecki, Miami University Hamilton
CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS
2-1 Linear Functions
2-2 Linear Equations and Models
2-3 Quadratic Functions
2-4 Complex Numbers
2-5 Quadratic Equations and Models
2-6 Additional Equation Solving Techniques
2-7 Solving Inequalities
Chapter 2 Review
Chapter 2 Group Activity: Mathematical Modeling in Population Studies
Cumulative Review Exercise for Chapters 1 and 2
CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS
3-1 Polynomial Functions And Models
3-2 Polynomial Division
3-3 Real Zeros and Polynomial Inequalities
3-4 Complex Zeros and Rational Zeros of Polynomials
3-5 Rational Functions and Inequalities
3-6 Variation and Modeling
Chapter 3 Review
Chapter 3 Group Activity: Interpolating Polynomials
CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS
4-1 Exponential Functions
4-2 Exponential Models
4-3 Logarithmic Functions
4-4 Logarithmic Models
4-5 Exponential and Logarithmic Equations
Chapter 4 Review
Chapter 4 Group Activity: Comparing Regression Models
Cumulative Review Exercise for Chapters 3 and 4
CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES
5-1 Systems of Linear Equations in Two Variables
5-2 Systems of Linear Equations in Three Variables
5-3 Systems of Linear Inequalities
5-4 Linear Programming
Chapter 5 Review
Chapter 5 Group Activity: Modeling with Systems of Equations
CHAPTER 6 MATRICES AND DETERMINANTS
6-1 Matrix Solutions to Linear Systems
6-2 Matrix Operations
6-3 Inverse of a Square Matrix
6-4 Matrix Equations and Systems of Linear Equations
6-5 Determinants
6-6 Properties of Determinants
6-7 Determinants and Cramer's Rule
Chapter 6 Review
Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit
Cumulative Review Exercise for Chapters 5 and 6
CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY
7-1 Sequences and Series
7-2 Mathematical Induction
7-3 Arithmetic and Geometric Sequences
7-4 Multiplication Principle, Permutations, and Combinations
7-5 Sample Spaces and Probability
7-6 Binomial Formula
Chapter 7 Review
Chapter 7 Group Activity: Sequences Specified by Recursion Formulas
8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
8-1 Conic Sections; Parabola
8-2 Ellipse
8-3 Hyperbola
8-4 Systems of Nonlinear Equations
Chapter 8 Review
Chapter 8 Group Activity: Focal Chords
Cumulative Review Exercise for Chapters 7 and 8
Appendix A BASIC ALGEBRA REVIEW
A-1 Algebra and Real Numbers
A-2 Exponents
A-3 Radicals
A-4 Polynomials: Basic Operations
A-5 Polynomials: Factoring
A-6 Rational Expressions: Basic Operations
Appendix A Review
Appendix A Group Activity: Rational Number Representations
Appendix B REVIEW OF EQUATIONS AND GRAPHING
B-1 Linear Equations and Inequalities
B-2 Cartesian Coordinate System
B-3 Basic Formulas in Analytic Geometry