Algebra and Trigonometry, 11th Edition © 2020
Michael Sullivan
Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. Algebra & Trigonometry, 11th Edition continues to evolve to meet the needs of today's students. The Sullivan series of texts prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of continuous preparation and retention, and the high-quality exercises that Sullivan texts are known for, give students the reinforcement they need.
Hallmark features of this title
- Preparing for this section lists earlier concepts that will be useful in the section ahead, with page references.
- All examples are clearly written and most conclude with a direction to Now Work, a related exercise, helping students to learn by doing. Showcase Examples offer a guided, step-by-step approach to solving a problem; highlighted Model It examples and exercises ask students to build a mathematical model from verbal descriptions or from data.
- Now Work "Are You Prepared?" problems help students see if they are ready to proceed to the section ahead.
- Calculus icons appear next to information essential for the study of calculus.
- In Words translates math into plain English.
- Warnings point out common mistakes and help students avoid them.
New and updated features of this title
- Need to Review? is now placed at the point of need for students. It provides a reference and page number to the discussion of a previous topic used in the current presentation.
- Graphing images throughout each chapter show TI-84 Plus C and Desmos screenshots. Using the graphing technology students are most familiar with, these images help students visualize concepts clearly and make stronger connections among equations, data and graphs in full color.
- Updated Guided Lecture Notes ask students to complete definitions, procedures, and examples based on the content of the Author in Action videos and book. By directing students into essential material, students can focus and retain the most important concepts.
- Updated and expanded exercise sets appear throughout. Updated Applications and Extensions reflect the most current data available.
- Retain Your Knowledge exercises improve students' recall of concepts learned earlier in the course. The 11th edition includes additional exercises that emphasize content students will build upon in the immediate upcoming section.
- Challenge Problems now appear in most exercise sets at the end of Applications and Extensions. They are thought-provoking and require some ingenuity to solve. They can be used for group work or individually.
This program offers:
- Integrated Review is now included for corequisite courses or simply to help students who enter without a full understanding of prerequisite skills and concepts. Integrated Review provides videos on review topics with a corresponding worksheet, along with premade, assignable skills-check quizzes and personalized review homework assignments. Algebra Review offers 4 chapters of Intermediate Algebra that are ideal for a corequisite or a slower-paced course. Videos can be assigned to accompany the Algebra Review content.
- New Mindset material encourages students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as learning opportunities.
- New Guided Visualizations, powered by GeoGebra and created by the author, help students visualize concepts through directed exploration and purposeful manipulation.
- The new College Algebra Essential Video Series covers essential topics; videos can be assigned in a homework assignment to remind students of the crucial content before they begin their exercises.
- Enhanced Sample Assignments use a thoughtful mix of Sullivan hallmark practice problems that are geared to maximize students' performance.
- New Student & Assignment Tagging functionality makes it easier for instructors to manage their courses.
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, and Projects
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, 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
5. CHAPTER 4 REVIEW, TEST, AND PROJECTS
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
Chapter 5 Review, Test, 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, 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, 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, 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, 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, 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, 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, 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, and Projects
14. COUNTING AND PROBABILITY
14.1 Counting
14.2 Permutations and Combinations
14.3 Probability
Chapter 14 Review, Test, 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
Michael Sullivan
Chicago State University
Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago's South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.
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| Format | ISBN-13 |
|---|---|
| Student edition | 9780135163078 |
| Student Edition + MyMathLab for School with Pearson eTextbook (1-year access) | 9780135232156 |
| Student Edition + MyMathLab for School with Pearson eTextbook (6-year access) | 9780135232163 |
| Student Edition + MathXL for School (1-year access) | 9780135232132 |
| Student Edition + MathXL for School (6-year access) | 9780135232149 |
| Annotated teacher’s edition | 9780135190548 |
| Student’s solution’s manual | 9780135189252 |
| Guided lecture notes | 9780135189313 |
| MyMathLab for School with Pearson eTextbook (1-year access) | 100% digital solution. Access code is delivered via email. | 9780132962377 |
| MyMathLab for School with Pearson eTextbook (6-year access) | 100% digital solution. Access code is delivered via email. | 9780132962391 |
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