
Precalculus is suited for a 1 or 2 semester course and will focus on different learning styles. There will also be an emphasis on more challenging problems as well as streamlined prose to quicken the pace of the book.
0.1 Linear Equations.
0.2 Quadratic Equations.
0.3 Other Types of Equations.
0.4 Inequalities.
0.5 Graphing Equations.
0.6 Lines.
0.7 Modeling Variation.
Modeling Your World.
Chapter Review.
Chapter Test.
CHAPTER 1: FUNCTIONS AND THEIR GRAPHS.
Functions.
1.2 Graphs of Functions.
1.3 Graphing Techniques: Transformations.
1.4 Combining Functions.
1.5 OnetoOne Functions and Inverse Functions.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 2: POLYNOMIAL AND RATIONAL FUNCTIONS.
2.1 Quadratic Functions.
2.2 Polynomial Functions of Higher Degree.
2.3 Dividing Polynomials: Long Division and Synthetic Division.
2.4 The Real Zeros of a Polynomial Function.
2.5 Complex Zeros: The Fundamental Theorem of Algebra.
2.6 Rational Functions.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
3.1 Exponential Functions and Their Graphs.
3.2 Logarithmic Functions and Their Graphs.
3.3 Properties of Logarithms.
3.4 Exponential and Logarithmic Equations.
3.5 Exponential and Logarithmic Models.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 4: Trigonometric Functions OF ANGLES.
4.1 Angle Measure.
4.2 Right Triangle Trigonometry.
4.3 Trigonometric Functions of Angles.
4.4 The Law of Sines.
4.5 The Law of Cosines.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 5: TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS.
5.1 Trigonometric Functions of Real Numbers: The Unit Circle Approach.
5.2 Graphs of Sine and Cosine Functions.
5.3 Graphs of Other Trigonometric Functions.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 6: ANALYTIC TRIGONOMETRY.
6.1 Verifying Trigonometric Identities.
6.2 Sum and Difference Identities.
6.3 DoubleAngle and HalfAngle Identities.
6.4 ProducttoSum and SumtoProduct Identities.
6.5 Inverse Trigonometric Functions.
6.6 Trigonometric Equations.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 7: POLAR COORDINATES AND VECTORS.
7.1 Vectors.
7.2 The Dot Product.
7.3 Polar (Trigonometric) Form of Complex Numbers.
7.4 Products, Quotients, Powers, and Roots of Complex Numbers.
7.5 Polar Coordinates and Graphs of Polar Equations.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 8: SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
8.1 Systems of Linear Equations in Two Variables.
8.2 Systems of Linear Equations in Three Variables.
8.3 Matrix Algebra.
8.4 The Determinant of a Square Matrix and Cramer’s Rule.
8.5 Partial Fractions.
8.6 Systems of Linear Inequalities in Two Variables.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 9: CONICS, SYSTEMS OF NONLINEAR EQUATIONS AND INEQUALITIES, AND PARAMETRIC EQUATIONS.
9.1 Conic Basics.
9.2 The Parabola.
9.3 The Ellipse.
9.4 The Hyperbola.
9.5 Systems of Nonlinear Equations.
9.6 Systems of Nonlinear Inequalities.
9.7 Rotation of Axes.
9.8 Polar Equations of Conics.
9.9 Parametric Equations and Graphs.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
CHAPTER 10: SEQUENCES AND SERIES.
10.1 Sequences and Series.
10.2 Arithmetic Sequences and Series.
10.3 Geometric Sequences and Series.
10.4 Mathematical Induction.
10.5 The Binomial Theorem.
Modeling Your World.
Chapter Review.
Chapter Test.
Cumulative Test.
APPENDIX A PREREQUISITES: FUNDAMENTALS OF ALGEBRA.
A.1 Real Numbers.
A.2 Integer Exponents and Scientific Notation.
A.3 Polynomials: Basic Operations.
A.4 Factoring Polynomials.
A.5 Rational Expressions.
A.6 Rational Exponents and Radicals.
A.7 Complex Numbers.
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 Clear, Concise and Inviting Writing. The author’s engaging and clear presentation is presented in a layout that is designed to reduce math anxiety.
 Preview to Calculus exercises are found at the end of every section and chapter
 Skills/Concepts Objectives. Objectives are divided by skill and concept so students learn the difference between solving problems and understanding concepts.
 Correct vs. Incorrect. In addition to standard examples, some problems are worked both correctly and incorrectly to highlight common errors students make.
 Catch the Mistake. In every section, “Catch the Mistake” exercises put the students in the role of the instructor grading homework which increases the depth of understanding and reinforces what they have learned.
 Your Turn. Students are often asked to work a problem immediately following an example to reinforce and check their understanding; these are ideal for inclass activity and preparing the student to work homework later.
 Parallel Words and Math. This text reverses the common presentation of examples by placing the explanation in words on the left and the mathematics in parallel on the right. This makes it easier for students to read through examples as the material flows more naturally and as commonly presented in lecture.
 Modeling Your World: This feature is found at the end of every chapter. It uses real world data to model mathematical applications found in everyday life
 Five Different Types of Exercises. Every chapter has skill, application, catch the mistake, challenge and technology exercises. The exercises gradually increase in difficulty and vary skill and conceptual emphasis. The challenge exercises specifically focus on assessing conceptual understanding.
 Review Chapter 0. A review of equations and inequalities.
 Chapter Introduction Flow Chart and Objectives. A flow chart and chapter objectives give an overview of the chapter to help students see the big picture.
 Chapter Review Chart. A chapter review chart organizes the topics in an easy to use onepage layout. This feature includes key concepts and formulas, as well as indicating review exercises so that students can quickly summarize a chapter and study smarter.
 Author Instructional Videos. For review at home or for a class missed, each chapter has a video that includes an introduction and review. The author works some of the examples and “Your Turn” problems from the text on the videos as well.
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