Raymond A Barnett, Michael R Ziegler, Karl E Byleen

College Algebra with Trigonometry

• Gebundenes Buch

Produktbeschreibung

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. College Algebra with Trigonometry, 7/E, introduces a right angle 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, 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. This CD reinforces important concepts, and provides students with extra practice problems.

Produktdetails

• Verlag: McGraw Hill LLC
• 8th edition
• Seitenzahl: 1044
• Erscheinungstermin: 12. Februar 2007
• Englisch
• Abmessung: 251mm x 209mm x 46mm
• Gewicht: 2272g
• ISBN-13: 9780073312644
• ISBN-10: 0073312649
• Artikelnr.: 22264657

Inhaltsangabe

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 Right-Triangle Trigonometry
6-3 Trigonometric Functions: A Unit Circle Approach
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