Precalculus: Functions and Graphs with Smart CD (Windows) - Rilegato

Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

Rilegato

ISBN 10: 0072412208 ISBN 13: 9780072412208

Casa editrice: McGraw-Hill Higher Education, 2000

Riassunto

The Barnett, Ziegler, Byleen College Algebra/Precalculus 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, 5/e, introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trigonometry or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the 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 that is 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. The CD tutorial reinforces important concepts, and provides students with extra practice problems.

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Contenuti:

1 Equations and Inequalities

1-1 Linear Equations and Applications

1-2 Systems of Linear Equations and Applications

1-3 Linear Inequalities

1-4 Absolute Value in Equations and Inequalities

1-5 Complex Numbers

1-6 Quadratic Equations and Applications

1-7 Equations Reducible to Quadratic Form

1-8 Polynomial and Rational Inequalities

Chapter 1 Group Activity: Rates of Change

Chapter 1 Review

2 Graphs and Functions

2-1 Basic Tools: Circles

2-2 Straight Lines

2-3 Functions

2-4 Graphing Functions

2-5 Combining Functions

2-6 Inverse Functions

Chapter 2 Group Activity: Mathematical Modeling in Business

Chapter 2 Review

1&2 Cumulative Review Exercise

3 Polynomials and Rational Functions

3-1 Polynomial Functions and Graphs

3-2 Finding Rational Zeros of Polynomials

3-3 Approximating Real Zeros of Polynomials

3-4 Rational Functions

3-5 Partial Functions

Chapter 3 Group Activity: Interpolating Polynomials

Chapter 3 Review

4 Exponential and Logarithmic Functions

4-1 Exponential Functions

4-2 The Exponential Function with Base e

4-3 Logarithmic Functions

4-4 Common and Natural Logarithmic Functions

4-5 Exponential and Logarithmic Equations

Chapter 4 Group Activity: Growth of Increasing Functions

Chapter 4 Review

3&4 Cumulative Review Exercises

5 Trigonometric Functions

5-1 The Wrapping Function

5-2 Circular Functions

5-3 Angles and Their Measure

5-4 Trigonometric Functions

5-5 Solving Right Triangles

5-6 Graphing Basic Trigonometric Functions

5-7 Graphing y = k+A sin (Bx+C) and y=k+A cos (Bx+C)

5-8 Graphing More General Tangent, cotangent, Secant, and Cosec

5-9 Inverse Trigonometric Functions

Chapter 5 Group Activity: A predator - Prey Analysis - Mountain L

Chapter 5 Review

6 Trigonometric Identities and Conditional Equations

6-1 Basic Identifies and Their Use

6-2 Sum, Difference, and Cofunction Identifies

6-3 Double-Angle and Half-Angle Identifies

6-4 Product-Sum and Sum-Product Identifies

6-5 Trigonometric Equations

Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt +C)

Chapter 6 Review

7 Additional Topics in Trigonometry

7-1 Law of Sines

7-2 Law of Cosines

7-3 Geometric Vectors

7-4 Algebraic Vectors

7-5 Polar Coordinates and Graphs

7-6 Complex Numbers in Rectangular and Polar Forms

7-7 De Moivre's Theorem

Chapter 7 Group Activity: Conic Sections and Planetary Orbits

Chapter 7 Review

5,6,&7 Cumulative Review Exercise

8 Systems of Equations and Inequalities

8-1 Systems of Linear Equations and Augmented Matrices

8-2 Gauss-Jordan Elimination

8-3 Systems Involving Second-Degree Equations

8-4 Systems of Linear Inequalities in Two Variables

8-5 Linear Programming

Chapter 8 Group Activity: Modeling with Systems of Equations

Chapter 8 Review

9 Matrices and Determinants

9-1 Matrices: Basic Operations

9-2 Inverse of a Square Matrix

9-3 Matrix Equations and Systems of Linear Equations

9-4 Determinants

9-5 Properties of Determinants

9-6 Cramer's Rule

Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit

Chapter 9 Review

8&9 Cumulative Review Exercise

10 Sequences and Series

10-1 Sequences and Series

10-2 Mathematical Induction

10-3 Arithmetic and Geometric Sequences

10-4 Binomial Formula

10-5 Multiplication Principle, Permutations, and Combinations

Chapter 10 Group Activity: Sequences Specified by Recursion

Chapter 10 Review

11 Additional Topics in Analytic Geometry

11-1 Conic Sections; Parabola

11-2 Ellipse

11-3 Hyperbola

11-4 Translation of Axes

11-5 Parametric Equations

Chapter 11 Group Activity: Focal Chords

Chapter 11 Review

10&11 Cumulative Review Exercise

Appendix A Basic Algebraic Operations

A-1 Algebra and Real Numbers

A-2 Polynomials: Basic Operations

A-3 Polynomials: Factoring

A-4 Rational Expressions: Basic Operations

A-5 Integer Exponents

A-6 Rational Exponents

A-7 Radicals

Appendix A Group Activity: Rational Number Representations

Appendix A Review

Appendix B Significant Digits

Appendix C Geometric Formulas

Product Description:

Book by BarnettRaymond ZieglerMichael ByleenKarl Byleen Ka

Su questa edizione

• Editore: McGraw-Hill Higher Education
• Data di pubblicazione: 2000
• ISBN 10: 0072412208
• ISBN 13: 9780072412208
• Rilegatura: Copertina rigida
• Numero edizione: 5
• Numero di pagine: 1024