College Algebra With Trigonometry
ISBN: 9780077350109 | 0077350103
Edition: 9thFormat: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 1/19/2010
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Barnett, Ziegler, Byleen, and Sobecki's College Algebra with Trigonometry text is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples... MORE
| Basic Algebraic Operations | |
| Algebra and Real Numbers | |
| Exponents and Radicals | |
| Polynomials: Basic Operations and Factoring | |
| Rational Expressions: Basic Operations | |
| Review | |
| Equations And Inequalities | |
| Linear Equations and Applications | |
| Linear Inequalities | |
| Absolute Value | |
| Complex Number... MORE | |
| Quadratic Equations and Applications | |
| Equations Involving Radicals | |
| Chapter 1 Group Activity: Solving a Cubic Equation | |
| Chapter 1 Review | |
| Graphs | |
| Rectangular Coordinates | |
| Distance in the Plane | |
| Equations of a Line | |
| Linear Equations and Models | |
| Chapter 2 Group Activity: Rates of Change | |
| Chapter 2 Review | |
| Functions | |
| Functions | |
| Graphing Functions | |
| Transformations of Functions | |
| Quadratic Functions | |
| Combining Functions; Composition | |
| Inverse Functions | |
| Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan | |
| Chapter 3 Review | |
| 1, 2, & 3 Cumulative Review Exercises | |
| Polynomial And Rational Functions | |
| Polynomial Functions And Models | |
| Real Zeros and Polynomial Inequalities | |
| Complex Zeros and Rational Zeros of Polynomials | |
| Rational Functions and Inequalities | |
| Variation and Modeling | |
| Chapter 4 Group Activity: Interpolating Polynomials | |
| Chapter 4 Review | |
| Exponential And Logarithmic Functions | |
| Exponential Functions | |
| Exponential Models | |
| Logarithmic Functions | |
| Logarithmic Models | |
| Exponential and Logarithmic Equations | |
| Chapter 5 Group Activity: Growth of Increasing Functions | |
| Chapter 5 Review | |
| 4 & 5 Cumulative Review Exercises | |
| Trigonometric Functions | |
| Angles and Their Measure | |
| Right Triangle Trigonometry | |
| Trigonometric Functions: A Unit Circle Approach | |
| Trigonometric Functions: Properties and Graphs | |
| More General Trigonometric Functions | |
| Inverse Trigonometric Functions | |
| Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer | |
| Chapter 6 Review | |
| Trigonometric Identities And Conditional Equations | |
| Basic Identities and Their Use | |
| Sum, Difference, and Cofunction Identities | |
| Double-Angle and Half-Angle Identities | |
| Product-Sum and Sum-Product Identities | |
| Trigonometric Equations | |
| Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool | |
| Chapter 7 Review | |
| Additional Topics In Trigonometry | |
| Law of Sines | |
| Law of Cosines | |
| Vectors in the Plane | |
| Polar Coordinates and Graphs | |
| Complex Numbers and De Moivre's Theorem | |
| Chapter 8 Group Activity: Conic Sections and Planetary Orbits | |
| Chapter 8 Review | |
| 6, 7, & 8 Cumulative Review Exercises | |
| Additional Topics In Analytic Geometry | |
| Conic Sections; Parabola | |
| Ellipse | |
| Hyperbola | |
| Rotation of Axes | |
| Chapter 9 Group Activity: Focal Chords | |
| Chapter 9 Review | |
| Systems Of Equations And Inequalities; Matrices | |
| Systems of Linear Equations | |
| Solving Linear Systems Using Gauss-Jordan Elimination | |
| Matrix Operations | |
| Solving Linear Systems Using Inverse Matrices | |
| Determinants and Cramer's Rule | |
| Chapter 10 Group Activity: Modeling with Systems of Linear Equations | |
| Systems of Nonlinear Equations | |
| Systems of Linear Inequalities | |
| Linear Programming | |
| Chapter 10 Review | |
| Sequences And Series | |
| Sequences and Series | |
| Mathematical Induction | |
| Arithmetic and Geometric Sequences | |
| Counting Techniques: Multiplication Principle, Permutations, and Combinations | |
| Sample Spaces and Probability | |
| Binomial Formula | |
| Chapter 11 Group Activity: Sequences Specified by Recursion Formulas | |
| Chapter 11 Review | |
| 9. 10, & 11 Cumulative Review Exercises | |
| Limits: An Introduction To Calculus | |
| Introduction to Limits | |
| Computing Limits Algebraically | |
| Limits at Infinity | |
| The Derivative | |
| Area and Calculus | |
| Chapter 12 Group Activity: Derivatives of Exponential and Log Functions | |
| Chapter 12 Review | |
| Special Topics | |
| Scientific Notation and Significant Digits | |
| Partial Fractions | |
| Parametric Equations | |
| Geometric Formulas | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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