Title:
Precalculus
Personal Author:
Edition:
7th ed.
Publication Information:
New York : McGraw-Hill Higher Education, 2010.
Physical Description:
xxix, (various pagings) : ill. (some col.) ; 28 cm.
ISBN:
9780077349912
General Note:
Includes index
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010278035 | QA331.3 B38 2011 f | Open Access Book | Folio Book | Searching... |
On Order
Summary
Summary
The Barnett, Ziegler, Byleen, and Sobecki College Algebra series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. 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 are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.
Table of Contents
| Chapter R Basic Algebraic Operations |
| R-1 Algebra and Real Numbers |
| R-2 Exponents and Radicals |
| R-3 Polynomials: Basic Operations and Factoring |
| R-4 Rational Expressions: Basic Operations |
| Chapter R Review |
| Chapter 1 Equations and Inequalities |
| 1-1 Linear Equations and Applications |
| 1-2 Linear Inequalities |
| 1-3 Absolute Value |
| 1-4 Complex Numbers |
| 1-5 Quadratic Equations and Applications |
| 1-6 Equations Involving Radicals |
| Chapter 1 Group Activity: Solving a Cubic Equation |
| Chapter 1 Review |
| Chapter 2 Graphs |
| 2-1 Rectangular Coordinates |
| 2-2 Distance in the Plane |
| 2-3 Equations of a Line |
| 2-4 Linear Equations and Models |
| Chapter 2 Group Activity: Rates of Change |
| Chapter 2 Review |
| Chapter 3 Functions |
| 3-1 Functions |
| 3-2 Graphing Functions |
| 3-3 Transformations of Functions |
| 3-3 Quadratic Functions |
| 3-5 Combining Functions; Composition |
| 3-6 Inverse Functions |
| Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan |
| Chapter 3 Review 1, 2, & 3 Cumulative Review Exercises |
| Chapter 4 Polynomial and Rational Functions |
| 4-1 Polynomial Functions And Models |
| 4-2 Real Zeros and Polynomial Inequalities |
| 4-3 Complex Zeros and Rational Zeros of Polynomials |
| 4-4 Rational Functions and Inequalities |
| 4-5 Variation and Modeling |
| Chapter 4 Group Activity: Interpolating Polynomials |
| Chapter 4 tReview |
| Chapter 5 Exponential and Logarithmic Functions |
| 5-1 Exponential Functions |
| 5-2 Exponential Models |
| 5-3 Logarithmic Functions |
| 5-4 Logarithmic Models |
| 5-5 Exponential and Logarithmic Equations |
| Chapter 5 Group Activity: Growth of Increasing Functions |
| Chapter 5 Review 4 & 5 Cumulative Review Exercises |
| Chapter 6 Trigonometric Functions |
| 6-1 Angles and Their Measure |
| 6-2 Trigonometric Functions: A Unit Circle Approach |
| 6-3 Solving Right Triangles |
| 6-4 Trigonometric Functions: Properties and Graphs |
| 6-5 More General Trigonometric Functions |
| 6-6 Inverse Trigonometric Functions |
| Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer |
| Chapter 6 Review |
| Chapter 7 Trigonometric Identities and Conditional Equations |
| 7-1 Basic Identities and Their Use |
| 7-2 Sum, Difference, and Cofunction Identities |
| 7-3 Double-Angle and Half-Angle Identities |
| 7-4 Product-Sum and Sum-Product Identities |
| 7-5 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 |
| Chapter 8 Additional Topics in Trigonometry |
| 8-1 Law of Sines |
| 8-2 Law of Cosines |
| 8-3 Vectors in the Plane |
| 8-4 Polar Coordinates and Graphs |
| 8-5 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 |
| Chapter 9 Additional Topics in Analytic Geometry |
| 9-1 Conic Sections; Parabola |
| 9-2 Ellipse |
| 9-3 Hyperbola |
| 9-4 Rotation of Axes |
| Chapter 9 Group Activity: Focal Chords |
| Chapter 9 Review |
| Chapter 10 Systems of Equations and Inequalities; Matrices |
| 10-1 Systems of Linear Equations |
| 10-2 Solving Linear Systems Using Gauss-Jordan Elimination |
| 10-3 Matrix Operations |
| 10-4 Solving Linear Systems Using Inverse Matrices |
| 10-5 Determinants and Cramer's Rule |
| Chapter 10 Group Activity: Modeling with Systems of Linear Equations |
| 10-6 Systems of Nonlinear Equations |
| 10-7 Systems of Linear Inequalities |
| 10-8 Linear Programming |
| Chapter 10 Review |
| Chapter 11 Sequences and Series |
| 11-1 Sequences and Series |
| 11-2 Mathematical Induction |
| 11-3 Arithmetic and Geometric Sequences |
| 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations |
| 11-5 Sample Spaces and Probability |
| 11-6 Binomial Formula |
| Chapter 11 Group Activity: Sequences Specified by Recursion Formulas |
| Chapter 11 Review 9, 10, & 11 Cumulative Review Exercises |
| Chapter 12 Limits: an Introduction to Calculus |
| 12-1 Introduction to Limits |
| 12-2 Computing Limits Algebraically |
| 12-3 Limits at Infinity |
| 12-4 The Derivative |
| 12-5 Area and Calculus |
| Chapter 12 Group Activity: Derivatives of Exponential and Log Functions |
| Chapter 12 Review |
| Appendix A Special Topics |
| A-1 Scientific Notation and Significant Digits |
| A-2 Partial Fractions |
| A-3 Parametric Equations |
| Appendix B |
| B-1 Geometric Formulas |
