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Full Description
For courses in college algebra.
Mathematics from Classroom to Career
College Algebra in Context, Fifth Edition is ideal for students majoring in business, social sciences, and life sciences. The authors use modeling, applications, and real-data problems to develop skills, giving students the practice they need to become adept problem solvers in their future courses and careers. This edition offers new sections on conics and the binomial theorem.
Also available with MyMathLab
MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.
For this edition, the MyMathLab course has been expanded to include additional problem types and resources, and to support the authors' special emphasis on applications.
Note: You are purchasing a standalone product; MyLabTM & MasteringTM does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab & Mastering, search for:
0134397029 / 9780134397023 College Algebra in Context plus MyMathLab Student Access Kit
Package consists of:
0134179021 / 9780134179025 College Algebra in Context with Applications for the Managerial, Life, and Social Sciences
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
Contents
Preface
To the Student
1. Functions, Graphs, and Models; Linear Functions
Algebra Toolbox
1-1 Functions and Models
1-2 Graphs of Functions
1-3 Linear Functions
1-4 Equations of Lines
Summary
Key Concepts and Formulas
Chapter 1 Skills Check
Chapter 1 Review
Group Activities/Extended Applications
2. Linear Models, Equations, and Inequalities
Algebra Toolbox
2-1 Algebraic and Graphical Solution of Linear Equations
2-2 Fitting Lines to Data Points: Modeling Linear Functions
2-3 Systems of Linear Equations in Two Variables
2-4 Solutions of Linear Inequalities
Summary
Key Concepts and Formulas
Chapter 2 Skills Check
Chapter 2 Review
Group Activities/Extended Applications
3. Quadratic, Piecewise-Defined, and Power Functions
Algebra Toolbox
3-1 Quadratic Functions; Parabolas
3-2 Solving Quadratic Equations
3-3 Piecewise-Defined Functions and Power Functions
3-4 Quadratic and Power Models
Summary
Key Concepts and Formulas
Chapter 3 Skills Check
Chapter 3 Review
Group Activities/Extended Applications
4. Additional Topics with Functions
Algebra Toolbox
4-1 Transformations of Graphs and Symmetry
4-2 Combining Functions; Composite Functions
4-3 One-to-One and Inverse Functions
4-4 Additional Equations and Inequalities
Summary
Key Concepts and Formulas
Chapter 4 Skills Check
Chapter 4 Review
Group Activities/Extended Applications
5. Exponential and Logarithmic Functions
Algebra Toolbox
5-1 Exponential Functions
5-2 Logarithmic Functions; Properties of Logarithms
5-3 Exponential and Logarithmic Equations
5-4 Exponential and Logarithmic Models
5-5 Exponential Functions and Investing
5-6 Annuities; Loan Repayment
5-7 Logistic and Gompertz Functions
Summary
Key Concepts and Formulas
Chapter 5 Skills Check
Chapter 5 Review
Group Activities/Extended Applications
6. Higher-Degree Polynomial and Rational Functions
Algebra Toolbox
6-1 Higher-Degree Polynomial Functions
6-2 Modeling with Cubic and Quartic Functions
6-3 Solution of Polynomial Equations
6-4 Polynomial Equations Continued; Fundamental Theorem of Algebra
6-5 Rational Functions and Rational Equations
6-6 Polynomial and Rational Inequalities
Summary
Key Concepts and Formulas
Chapter 6 Skills Check
Chapter 6 Review
Group Activities/Extended Applications
7. Systems of Equations and Matrices
Algebra Toolbox
7-1 Systems of Linear Equations in Three Variables
7-2 Matrix Solution of Systems of Linear Equations
7-3 Matrix Operations
7-4 Inverse Matrices; Matrix Equations
7-5 Determinants and Cramer's Rule
7-6 Systems of Nonlinear Equations
Summary
Key Concepts and Formulas
Chapter 7 Skills Check
Chapter 7 Review
Group Activities/Extended Applications
8. Special Topics in Algebra
8-1 Systems of Inequalities
8-2 Linear Programming: Graphical Methods
8-3 Sequences and Discrete Functions
8-4 Series
8-5 Preparing for Calculus
8-6 The Binomial Theorem
8-7 Conic Sections: Circles and Parabolas
8-8 Conic Sections: Ellipses and Hyperbolas
Summary
Key Concepts and Formulas
Chapter 8 Skills Check
Chapter 8 Review
Group Activity/ Extended Applications
Appendices
A. Basic Graphing Calculator Guide
B. Basic Guide to Excel 2010 and Excel 2013
Photo Credits
Answers to Selected Exercises
Index