MyLab Math with Pearson eText (24 Months) for Algebra & Trigonometry
Pearson (Hersteller)
978-0-13-825129-1 (ISBN)
About our author After graduating from Saint Ignatius College Prep (Chicago), Michael Sullivan attended DePaul University as an undergraduate, completing a major in mathematics and a minor in physics in 3 years. He pursued his graduate studies at the Illinois Institute of Technology, receiving a master's degree in 1963 and a Doctor of Philosophy (PhD) in 1967, both in mathematics. Mike had a teaching career of over 30 years at Chicago State University as a Professor of Mathematics, where he honed an approach to teaching and writing that forms the foundation for his textbooks. He has authored more than 120 textbooks in mathematics and currently has 15 books in print. His textbooks are used in high schools and universities across the United States and have been translated into a variety of foreign languages. His books have been awarded both the Texty and McGuffey awards from the Textbook and Academic Authors Association (TAA), and in 2007 he received the TAA Lifetime Achievement Award. In 2023, Mike was awarded the Saint Ignatius College Prep Alumni Award for Excellence, in recognition of his outstanding commitment to his profession and to the Saint Ignatius community. Mike is a member of the American Mathematical Association of Two-Year Colleges, the American Mathematical Society, the Mathematical Association of America, and the Textbook and Academic Authors Association. He has 4 children, all of whom are involved with mathematics or publishing. His son, Michael Sullivan III, also teaches college mathematics and is his coauthor on 2 Pearson precalculus series. He divides his time between living in Naples, FL and Oak Lawn, IL. When not writing textbooks he enjoys tennis, travel and gardening.
Applications Index
R. Review
R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents
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, Constant Rate Job Applications
Chapter 1 Review, Test, and 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 2 Review, Test, Cumulative Review, and 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 3 Review, Test, Cumulative Review, and Projects
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 Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions
Chapter 4 Review, Test, Cumulative Review, and Projects
5. Polynomial and Rational Functions
5.1 Polynomial Functions
5.2 Graphing Polynomials Functions; Models
5.3 Properties of Rational Functions
5.4 The Graph of a Rational Function
5.5 Polynomial and Rational Inequalities
5.6 The Real Zeros of a Polynomial Function
5.7 Complex Zeros; Fundamental Theorem of Algebra
Chapter 5 Review, Test, Cumulative Review, and 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 6 Review, Test, Cumulative Review, and Projects
7. Trigonometric Functions
7.1 Angles, Arc, Length, and Circular Motion
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 7 Review, Test, Cumulative Review, and 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
Chapter 8 Review, Test, Cumulative Review, and 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 9 Review, Test, Cumulative Revivew, and 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 10 Review, Test, Cumulative Review, and 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 11 Review, Test, Cumulative Review, and Projects
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 12 Review, Test, Cumulative Review, and 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 13 Review, Test, Cumulative Review, and Projects
14. Counting and Probability
14.1 Counting
14.2 Permutations and Combinations
14.3 Probability
Chapter 14 Review, Test, Cumulative Review, and Projects
Appendix: Graphing Utilities
A.1 The Viewing Rectangle
A.2 Using a Graphing Utility to Graph Equations
A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
A.4 Using a Graphing Utility to Solve Equations
A.5 Square Screens
A.6 Using a Graphing Utility to Graph Inequalities
A.7 Using a Graphing Utility to Solve Systems of Linear Equations
A.8 Using a Graphing Utility to Graph a Polar Equation
A.9 Using a Graphing Utility to Graph Parametric Equations
Answers
Credits
Index
| Erscheint lt. Verlag | 1.10.2024 |
|---|---|
| Sprache | englisch |
| ISBN-10 | 0-13-825129-0 / 0138251290 |
| ISBN-13 | 978-0-13-825129-1 / 9780138251291 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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