Precalculus - Rilegato

Barnett, Raymond; Ziegler, Michael; Byleen, Karl

Rilegato

ISBN 10: 0072867396 ISBN 13: 9780072867398

Casa editrice: McGraw-Hill Education, 2007

Riassunto

The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. Precalculus introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. 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 Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems.

Su questo libro

Contenuti:

Chapter R: Basic Algebraic Operations

R-1Algebra and Real Numbers

R-2Exponents

R-3Radicals

R-4Polynomials: Basic Operations

R-5Polynomials: Factoring

R-6Rational Expressions: Basic Operations

Chapter R Review

Chapter R Group Activity: Rational Number Representations

Chapter 1: Equations and Inequalities

1-1 Linear Equations and Applications

1-2Linear Inequalities

1-3 Absolute Value

1-4Complex Numbers

1-5 Quadratic Equations and Applications

1-6 Equations Involving Radicals

Chapter 1 Review

Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 2: Graphs

2-1 Cartesian Coordinate system

2-2 Distance in the Plane

2-3 Equations of a line

2-4 Linear Equations and Models

Chapter 2 Review

Chapter 2 Group Activity: Rates of Change

Chapter 3: Functions

3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-4 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse Functions

Chapter 3 Review

Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan

Chapters 1-3 Cumulative Review Exercises

Chapter 4: Polynomials and Rational Functions

4-1Polynomial Functions and Models

4-2Real Zeros and Polynomial Inequalities

4-3Complex Zeros and Rational Zeros of Polynomials

4-4Rational Functions and Inequalities

4-5Variation and Modeling

Chapter 4 Review

Chapter 4 Group Activity: Interpolating Polynomials

Chapter 5: Exponential and Logarithmic Functions

5-1Exponential Functions

5-2Exponential Models

5-3Logarithmic Functions

5-4Logarithmic Models

5-5Exponential and Logarithmic Equations

Chapter 5 Review

Chapter 5 Group Activity: Growth of Increasing Functions

Chapters 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 Review

Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

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 Review

Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool

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 Review

Chapter 8 Group Activity: Conic Sections and Planetary Orbits

Chapters 6-8 Cumulative Review Exercises

Chapter 9: Additional Topics in Analytic Geometry

9-1Conic Sections; Parabolas

9-2Ellipses

9-3Hyperbolas

9-4 Rotation of Axes

Chapter 9 Review

Chapter 9 Group Activity: Focal Chords

Chapter 10: Systems of Equations and Inequalities; Matrices

10-1 Systems of Linear Equations: Graphing and Substitution

10-2 Systems of Linear Equations: Elimination

10-3 Systems of Linear Equations: Gauss-Jordan Elimination

10-4 Matrices: Basic Operations

10-5 Systems of Linear Equations: Matrix Inverse Methods

10-6 Systems of Nonlinear Equations

10-7 Systems of Linear Inequalities in Two Variables

10-8 Linear Programming

Chapter 10 Review

Chapter 10 Group Activity: Modeling With Systems of Linear Equations

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 Review

Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

Chapters 9-11 Cumulative Review Exercises

Appendix A: Special Topics

A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations

Appendix B: Geometric Formulas

Product Description:

Book by Barnett Raymond A Ziegler Michael R Byleen Karl E

Su questa edizione

• Editore: McGraw-Hill Education
• Data di pubblicazione: 2007
• ISBN 10: 0072867396
• ISBN 13: 9780072867398
• Rilegatura: Copertina rigida
• Numero edizione: 6
• Numero di pagine: 1192