College Algebra With Trigonometry

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  • Edition: 9th
  • Format: Hardcover
  • Copyright: 2010-01-19
  • Publisher: McGraw-Hill Education

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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 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

Basic Algebraic Operations
Algebra and Real Numbers
Exponents and Radicals
Polynomials: Basic Operations and Factoring
Rational Expressions: Basic Operations
Equations And Inequalities
Linear Equations and Applications
Linear Inequalities
Absolute Value
Complex Numbers
Quadratic Equations and Applications
Equations Involving Radicals
Chapter 1 Group Activity: Solving a Cubic Equation
Chapter 1 Review
Rectangular Coordinates
Distance in the Plane
Equations of a Line
Linear Equations and Models
Chapter 2 Group Activity: Rates of Change
Chapter 2 Review
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
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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