Algebra and Trigonometry with Analytic Geometry / Edition 9by Earl William Swokowski
The classic in the series of highly respected Swokowski/Cole mathematics texts retains the elements that have made it so popular with instructors and students alike: its exposition is clear, the time-tested exercise sets feature a variety of applications, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. … See more details below
The classic in the series of highly respected Swokowski/Cole mathematics texts retains the elements that have made it so popular with instructors and students alike: its exposition is clear, the time-tested exercise sets feature a variety of applications, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. The goal of this text is to prepare students for further courses in mathematics.
This book is set apart from the competition in a number of ways: it is mathematically sound, it focuses on preparing students for further courses in mathematics, and it has excellent problem sets. This edition has been improved in many respects. All of the chapters include numerous technology inserts with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a calculator for the first time. The new design of the text makes the technology inserts easily identifiable, so if a professor prefers to skip these sections it is simple to do so.
Table of Contents1. FUNDAMENTAL CONCEPTS OF ALGEBRA. Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions. Chapter 1 Review Exercises. Chapter 1 Discussion Exercises. 2. EQUATIONS AND INEQUALITIES. Equations. Applied Problems. Quadratic Equations. Complex Numbers. Other Types of Equations. Inequalities. More on Inequalities. Chapter 2 Review Exercises. Chapter 2 Discussion Exercises. 3. FUNCTIONS AND GRAPHS. Rectangular Coordinate Systems. Graphs of Equations. Lines. Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions. Inverse Functions. Variation. Chapter 3 Review Exercises. Chapter 3 Discussion Exercises. 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Polynomial Functions of Degree Greater than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter 5 Review Exercises. Chapter 5 Discussion Exercises. 6. THE TRIGONOMETRIC FUNCTIONS. Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems. Chapter 6 Review Exercises. Chapter 6 Discussion Exercises. 7. ANALYTIC TRIGONOMETRY. Verifying Trigonometric Identities. Trigonometric Equations. The Addition and Subtraction Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions. Chapter 7 Review Exercises. Chapter7 Discussion Exercises. 8. APPLICATIONS OF TRIGONOMETRY. The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. De Moivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 8 Review Exercises. Chapter 8 Discussion Exercises. 9. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Linear Equations in More than Two Variables. Partial Fractions. Systems of Inequalities. Linear Programming. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Properties of Determinants. Chapter 9 Review Exercises. Chapter 9 Discussion Exercises. 10. SEQUENCES, SERIES AND PROBABILITY. Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability. Chapter 10 Review Exercises. Chapter 10 Discussion Exercises. 11. TOPICS FROM ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Chapter 11 Review Exercises. Chapter 11 Discussion Exercises. APPENDIX I: USING A TI-82/83 GRAPHING CALCULATOR. APPENDIX II: COMMON GRAPHS AND THEIR EQUATIONS. APPENDIX III: A SUMMARY OF GRAPH TRANSFORMATIONS. APPENDIX IV: GRAPHS OF THE TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES. ANSWERS TO SELECTED EXERCISES. INDEX OF APPLICATIONS. INDEX.
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