Test Bank for College Concepts Through Functions 3rd Edition by Michael Sullivan 0321925742 9780321925749

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ISBN 10: 0321925742

ISBN 13: 9780321925749

Author:  Michael Sullivan 

College Algebra: Concepts Through Functions, Third Edition focuses on the fundamentals: preparation for class, practice with homework, and reviewing of key concepts. With the Concepts Through Functions series, the Sullivans expose students to functions in the first chapter and maintain a continuous theme of functions throughout the text. This approach ensures students master basic skills and develop the conceptual understanding they need for the course, ultimately preparing students for future math courses as well.

College Concepts Through Functions 3rd Table of contents:

1. Functions and Their Graphs
1.1 Functions
1.2 The Graph of a Function
1.3 Properties of Functions
1.4 Library of Functions; Piecewise-defined Functions
1.5 Graphing Techniques: Transformations
1.6 Mathematical Models: Constructing Functions
1.7 Building Mathematical Models Using Variation

• Chapter Review
• Chapter Test
• Chapter Projects

2. Linear and Quadratic Functions
2.1 Properties of Linear Functions and Linear Models
2.2 Building Linear Models from Data
2.3 Quadratic Functions and Their Zeros
2.4 Properties of Quadratic Functions
2.5 Inequalities Involving Quadratic Functions
2.6 Building Quadratic Models from Verbal Descriptions and from Data
2.7 Complex Zeros of a Quadratic Function
2.8 Equations and Inequalities Involving the Absolute Value Function

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

3. Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Properties of Rational Functions
3.3 The Graph of a Rational Function
3.4 Polynomial and Rational Inequalities
3.5 The Real Zeros of a Polynomial Function
3.6 Complex Zeros; Fundamental Theorem of Algebra

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

4. Exponential and Logarithmic Functions
4.1 Composite Functions
4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations
4.7 Compound Interest
4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay
4.9 Building Exponential, Logarithmic, and Logistic Functions from Data

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

5. Trigonometric Functions
5.1 Angles and Their Measure
5.2 Trigonometric Functions: Unit Circle Approach
5.3 Properties of the Trigonometric Functions
5.4 Graphs of the Sine and Cosine Functions
5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
5.6 Phase Shift; Sinusoidal Curve Fitting

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

6. Analytic Trigonometry
6.1 The Inverse Sine, Cosine, and Tangent Functions
6.2 The Inverse Trigonometric Functions (Continued)
6.3 Trigonometric Equations
6.4 Trigonometric Identities
6.5 Sum and Difference Formulas
6.6 Double-angle and Half-angle Formulas
6.7 Product-to-Sum and Sum-to-Product Formulas

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

7. Applications of Trigonometric Functions
7.1 Right Triangle Trigonometry; Applications Involving Right Triangles
7.2 The Law of Sines
7.3 The Law of Cosines
7.4 Area of a Triangle
7.5 Simple Harmonic Motion; Damped Motion; Combining Waves

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

8. Polar Coordinates; Vectors
8.1 Polar Coordinates
8.2 Polar Equations and Graphs
8.3 The Complex Plane; DeMoivre’s Theorem
8.4 Vectors
8.5 The Dot Product
8.6 Vectors in Space
8.7 The Cross Product

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

9. Analytic Geometry
9.1 Conics
9.2 The Parabola
9.3 The Ellipse
9.4 The Hyperbola
9.5 Rotation of Axes; General Form of a Conic
9.6 Polar Equations of Conics
9.7 Plane Curves and Parametric Equations

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

10. Systems of Equations and Inequalities
10.1 Systems of Linear Equations: Substitution and Elimination
10.2 Systems of Linear Equations: Matrices
10.3 Systems of Linear Equations: Determinants
10.4 Matrix Algebra
10.5 Partial Fraction Decomposition
10.6 Systems of Nonlinear Equations
10.7 Systems of Inequalities
10.8 Linear Programming

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

11. Sequences; Induction; the Binomial Theorem
11.1 Sequences
11.2 Arithmetic Sequences
11.3 Geometric Sequences; Geometric Series
11.4 Mathematical Induction
11.5 The Binomial Theorem

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

12. Counting and Probability
12.1 Counting
12.2 Permutations and Combinations
12.3 Probability

• Chapter Review
• Chapter Test
• Chapter Projects
• Cumulative Review

13. A Preview of Calculus: The Limit; Derivative, and Integral of a Function
13.1 Finding Limits Using Tables and Graphs
13.2 Algebra Techniques for Finding Limits
13.3 One-sided Limits; Continuous Functions
13.4 The Tangent Problem; The Derivative
13.5 The Area Problem; The Integral

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