Algebra and Trigonometry 9th Edition by Michael Sullivan ISBN 9780132372220 0132372223
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Product details:
ISBN 10: 0132372223
ISBN 13: 9780132372220
Author: Michael Sullivan
“Algebra and Trigonometry” (9th Edition) by Michael Sullivan is a comprehensive mathematics textbook designed for students pursuing courses in algebra and trigonometry. The book emphasizes a structured learning approach, focusing on three key areas: preparing for class, practicing with homework, and reviewing concepts.
Key Features:
Structured Learning Approach: The textbook follows a cycle of preparation, practice, and review to reinforce learning and ensure mastery of topics.
Comprehensive Coverage: Topics include functions, equations, inequalities, trigonometric identities, exponential and logarithmic functions, and analytic geometry.
Interactive Learning Tools: The 9th edition integrates projects and interactive tools for both classroom and online learning environments.
Extensive Practice Opportunities: Each chapter includes a variety of exercises, cumulative reviews, and chapter tests to assess understanding and application of concepts.
Author Expertise: Michael Sullivan, an Emeritus Professor of Mathematics at Chicago State University, brings over 35 years of teaching experience to the text
Table of contents:
1 Equations and Inequalities
1.1 Linear Functions
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, Constant Rate Job Applications
Chapter Review
Chapter Test
Chapter Projects
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
Chapter Review
Chapter Test
Cumulative Review
Chapter Project
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
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
4 Linear and Quadratic Functions
4.1 Linear Functions and Their Properties
4.2 Linear Models Building Linear Functions from Data
4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
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
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
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 Models from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
7 Trigonometric Functions
7.1 Angles and Their Measure
7.2 Right Triangle Trigonometry
7.3 Computing the Values of Trigonometric Functions of Acute Angles
7.4 Trigonometric Functions of Any Angle
7.5 Unit Circle Approach; Properties of the Trigonometric Functions
7.6 Graphs of the Sine and Cosine Functions
7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
7.8 Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
8 Analytic Trigonometry
8.1 The Inverse Sine, Cosine, and Tangent Functions
8.2 The Inverse Trigonometric Functions (Continued)
8.3 Trigonometric Equations
8.4 Trigonometric Identities
8.5 Sum and Difference Formulas
8.6 Double-angle and Half-angle Formulas
8.7 Product-to-Sum and Sum-to-Product Formulas
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Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
9 Applications of Trigonometric Functions
9.1 Applications Involving Right Triangles
9.2 The Law of Sines
9.3 The Law of Cosines
9.4 Area of a Triangle
9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
10 Polar Coordinates; Vectors
10.1 Polar Coordinates
10.2 Polar Equations and Graphs
10.3 The Complex Plane; De Moivre’s Theorem
10.4 Vectors
10.5 The Dot Product
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
11 Analytic Geometry
11.1 Conics
11.2 The Parabola
11.3 The Ellipse
11.4 The Hyperbola
11.5 Rotation of Axes, General Form of a Conic
11.6 Polar Equations of Conics
11.7 Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Table of Conte
12 Systems of Equations and Inequalities
12.1 Systems of Linear Equations: Substitution and Elimination
12.2 Systems of Linear Equations: Matrices
12.3 Systems of Linear Equations: Determinants
12.4 Matrix Algebra
12.5 Partial Fraction Decomposition
12.6 Systems of Nonlinear Equations
12.7 Systems of Inequalities
12.8 Linear Programming
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
13 Sequences; Induction; the Binomial Theorem
13.1 Sequences
13.2 Arithmetic Sequences
13.3 Geometric Sequences; Geometric Series
13.4 Mathematical Induction
13.5 The Binomial Theorem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
14 Counting and Probability
14.1 Counting
14.2 Permutations and Combinations
14.3 Probability
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
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