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Product Details:
Language: English
ISBN-10: 0321979478
ISBN-13: 978-0321979476
ISBN-13: 9780321979476
Author: Michael Sullivan
Table of Content:
1. Equations and Inequalities
1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers; Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities
1.6 Equations and Inequalities Involving Absolute Value
1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications
2. Graphs
2.1 The Distance and Midpoint Formulas
2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
2.3 Lines
2.4 Circles
2.5 Variation
3. Functions and Their Graphs
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
4. Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models
4.2 Building Linear Models from Data
4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Description and From Data
4.5 Inequalities Involving Quadratic Functions
5. Polynomial and Rational Functions
5.1 Polynomial Functions and Models
5.2 Properties of Rational Functions
5.3 The Graph of a Rational Function
5.4 Polynomial and Rational Inequalities
5.5 The Real Zeros of a Polynomial Function
5.6 Complex Zeros; Fundamental Theorem of Algebra
6. Exponential and Logarithmic Functions
6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Financial Models
6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
6.9 Building Exponential, Logarithmic, and Logistic Functions from Data
7. Analytic Geometry
7.1 Conics
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyberbola
8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations; Substitution and Elimination
8.2 Systems of Linear Equations: Matrices
8.3 Systems of Linear Equations: Determinants
8.4 Matrix Algebra
8.5 Partial Fraction Decomposition
8.6 Systems of Nonlinear Equations
8.7 Systems of Inequalities
8.8 Linear Programming
9. Sequences; Induction; the Binomial Theorem
9.1 Sequences
9.2 Arithmetic Sequences
9.3 Geometric Sequences; Geometric Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
10. Counting and Probability
10.1 Counting
10.2 Permutations and Combinations
10.3 Probability
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