Description
Cengage Algebra and Trigonometry 2016 Edition by Lothar Redlin, Saleem Watson
This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity-the same as found in James Stewart's market-leading Calculus book-is what makes this book the market leader._x000D_ Table of Contents :- _x000D_
Preface._x000D_
To the Student._x000D_
Prologue: Principles of Problem Solving._x000D_
P. PREREQUISITES. _x000D_
P1. Modeling the Real-World with Algebra. P2. The Real Numbers. P3. Integer Exponents and Scientific Notation. P4. Rational Exponents and Radicals._x000D_
P5. Algebraic Expressions. P6. Factoring. P7. Rational Expressions. P8. Solving Basic Equations. P9. Modeling with Equations. Chapter P Review. Chapter P Test._x000D_
FOCUS ON MODELING: MAKING THE BEST DECISIONS._x000D_
1. EQUATIONS AND GRAPHS._x000D_
1.1 The Coordinate Plane. 1.2 Graphs of Equations in Two Variables; Circles. 1.3 Lines. 1.4 Solving Quadratic Equations. 1.5 Complex Numbers. 1.6 Solving Other Types of Equations. 1.7 Solving Inequalities. 1.8 Solving Absolute Value Equations and Inequalities. 1.9 Solving Equations and Inequalities Graphically. 1.10 Modeling Variations. Chapter 1 Review. Chapter 1 Test._x000D_
FOCUS ON MODELING: Fitting Lines to Data._x000D_
2. FUNCTIONS._x000D_
Chapter Overview.2.1 Functions. 2.2 Graphs of Functions. 2.3 Getting Information from the Graph of a Function. 2.4 Average Rate of Change of a Function. 2.5 Linear Functions and Models. 2.6 Transformations of Functions. 2.7 Combining Functions. 2.8 One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test._x000D_
FOCUS ON MODELING: MODELING WITH FUNCTIONS._x000D_
3. POLYNOMIAL AND RATIONAL FUNCTIONS._x000D_
Chapter Overview. 3.1. Quadratic Functions and Models. 3.2 Polynomial Functions and Their Graphs. 3.3 Dividing Polynomials. 3.4 Real Zeros of Polynomials. 3.5 Complex Zeros and the Fundamental Theorem of Algebra. 3.6 Rational Functions. 3.7 Polynomial and Rational Inequalities. Chapter 3 Review. Chapter 3 Test._x000D_
FOCUS ON MODELING: FITTING POLYNOMIAL CURVES TO DATA._x000D_
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS._x000D_
Chapter Overview. 4.1 Exponential Functions. 4.2 The Natural Exponential Function. 4.3 Logarithmic Functions. 4.4 Laws of Logarithms. 4.5 Exponential and Logarithmic Equations. 4.6 Modeling with Exponential Functions. 4.7 Logarithmic Scales. Chapter 4 Review. Chapter 4 Test._x000D_
FOCUS ON MODELING: FITTING EXPONENTIAL AND POWER CURVES TO DATA. _x000D_
5. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH._x000D_
Chapter Overview._x000D_
5.1 Angle Measure._x000D_
5.2 Trigonometry of Right Triangles._x000D_
5.3 Trigonometric Functions of Angles. 5.4 Inverse Trigonometric Functions and Triangles. 5.5 The Law of Sines. 5.6 The Law of Cosines. 5.7 Chapter 5 Review. Chapter 5 Test._x000D_
FOCUS ON MODELING: SURVEYING._x000D_
1.TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH._x000D_
Chapter Overview._x000D_
6.1 The Unit Circle. 6.2 Trigonometric Functions of Real Numbers. 6.3 Trigonometric Graphs. 6.4 More Trigonometric Graphs. 6.5 Inverse Trigonometric Functions and Their Graphs. 6.6 Modeling Harmonic Motion. Chapter 6 Review. Chapter 6 Test._x000D_
FOCUS ON MODELING: FITTING SINUSOIDAL CURVES TO DATA._x000D_
7. CONIC SECTIONS._x000D_
Chapter Overview._x000D_
7.1 Trigonometric Identities. 7.2 Addition and Subtraction Formulas. 7.3 Double-Angle, Half-Angle, and Sum-Product Formulas. 7.4 Basic Trigonometric Equations. 7.5 More Trigonometric Equations. Chapter 7 Review. Chapter 7 Test._x000D_
FOCUS ON MODELING: TRAVELING AND STANDING WAVES._x000D_
8. POLAR COORDINATES AND PARAMETRIC EQUATIONS._x000D_
Chapter Overview. 8.1 Polar Coordinates. 8.2 Graphs of Polar Equations. 8.3 Polar Form of Complex Numbers; De Moivre's Theorem. 8.4 Plane Curves and Parametric Equations. Chapter 8 Review. Chapter 8 Test._x000D_
FOCUS ON MODELING: THE PATH OF A PROJECTILE._x000D_
9. VECTORS IN TWO AND THREE DIMENSIONS._x000D_
Chapter Overview. 9.1 Vectors in Two Dimensions. 9.2 The Dot Product. 9.3 Three-Dimensional Coordinate Geometry. 9.4 Vectors in Three Dimensions. 9.5 The Cross Product. 9.6 Equations of Lines and Planes. Chapter 9 Review. Chapter 9 Test._x000D_
FOCUS ON MODELING: VECTOR FIELDS._x000D_
10. SYSTEMS OF EQUATIONS AND INEQUALITIES._x000D_
10.1 Systems of Linear Equations in Two Variables. 10.2 Systems of Linear Equations in Several Variables. 10.3 Partial Fractions. 10.4 Systems of Nonlinear Equations. 10.5 Systems of Inequalities. Chapter 10 Review. Chapter 10 Test._x000D_
FOCUS ON MODELING: LINEAR PROGRAMMING._x000D_
11. MATRICES AND DETERMINANTS._x000D_
11.1 Matrices and Systems of Linear Equations. 11.2 The Algebra of Matrices. 11.3 Inverses of Matrices and Matrix Equations. 11.4 Determinants and Cramer's Rule. Chapter 11 Review. Chapter 11 Test._x000D_
FOCUS ON MODELING: COMPUTER GRAPHICS._x000D_
12. CONIC SECTIONS._x000D_
Chapter Overview. 12.1 Parabolas. 12.2 Ellipses. 12.3 Hyperbolas. 12.4 Shifted Conics. 12.5 Rotation of Axes. 12.6 Polar Equations of Conics. Chapter 12 Review. Chapter 12 Test._x000D_
FOCUS ON MODELING: CONICS IN ARCHITECTURE._x000D_
13. SEQUENCES AND SERIES._x000D_
Chapter Overview. 13.1 Sequences and Summation Notation. 13.2 Arithmetic Sequences. 13.3 Geometric Sequences. 13.4 Mathematics of Finance. 13.5 Mathematical Induction. 13.6 The Binomial Theorem. Chapter 13 Review. Chapter 13 Test._x000D_
FOCUS ON MODELING: MODELING WITH RECURSIVE SEQUENCES._x000D_
14. COUNTING AND PROBABILITY. _x000D_
14.1 Counting. 14.2 Probability. 14.3 Binomial Probability. 14.4 Expected Value. Chapter 14 Review. Chapter 14 Test._x000D_
FOCUS ON MODELING: THE MONTE CARLO METHOD._x000D_
APPENDIX A: Geometry Review._x000D_
APPENDIX B: Calculations and Significant Figures._x000D_
APPENDIX C: Graphing with a Graphing Calculator._x000D_
APPENDIX D: Using the TI-83/84 Graphing Calculator._x000D_