Marvin Bittinger,
Marvin L. Bittinger,
Judith Beecher,
Judith A. Beecher,
David Ellenbogen,
David J. Ellenbogen,
Judith Penna,
Judith A. Penna
e.a.
Pearson Education
e druk, 2017
9780134179056
Precalculus
Graphs and Models, A Right Triangle Approach
Specificaties
Gebonden, blz.
|
Engels
Pearson Education |
e druk, 2017
ISBN13: 9780134179056
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
For courses in precalculus.
Visualize. Interact. Succeed.
The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students “see the math” through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications. With the Sixth Edition, visualization is taken to a new level with technology, and students find even more ongoing review.
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.
New Guided Visualizations in MyMathLab help students allow for hands-on manipulation to gain understanding of difficult concepts. References to 28 Just-In-Time review topics are placed throughout the text and MyMathLab to help students right when they need it most, and new Cumulative Review Assignments and Skill Maintenance Quizzes are pre-made and assignable in MyMathLab to help students connect concepts and maintain skills throughout the course. Plus, new Video Assessment Exercises and a new Video Notebook further enhance the MyMathLab course and resources available.
Specificaties
Inhoudsopgave
<ul> <li>Preface</li> <li>To the Student</li> <li>Just-In-Time Review</li> </ul> <ol> <li><strong>Graphs, Functions, and Models</strong> <ul> <li>1.1 Introduction to Graphing <ul> <li>Visualizing the Graph</li> </ul></li> <li>1.2 Functions and Graphs</li> <li>1.3 Linear Functions, Slope, and Applications <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>1.4 Equations of Lines and Modeling</li> <li>1.5 Linear Equations, Functions, Zeros, and Applications</li> <li>1.6 Solving Linear Inequalities</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>More on Functions</strong> <ul> <li>2.1 Increasing, Decreasing, and Piecewise Functions; Applications</li> <li>2.2 The Algebra of Functions</li> <li>2.3 The Composition of Functions <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>2.4 Symmetry</li> <li>2.5 Transformations <ul> <li>Visualizing the Graph</li> </ul></li> <li>2.6 Variation and Application</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Quadratic Functions and Equations; Inequalities</strong> <ul> <li>3.1 The Complex Numbers</li> <li>3.2 Quadratic Equations, Functions, Zeros, and Models</li> <li>3.3 Analyzing Graphs of Quadratic Functions <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Review</li> </ul></li> <li>3.4 Solving Rational Equations and Radical Equations</li> <li>3.5 Solving Equations and Inequalities with Absolute Value</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Polynomial Functions and Rational Functions</strong> <ul> <li>4.1 Polynomial Functions and Modeling</li> <li>4.2 Graphing Polynomial Functions <ul> <li>Visualizing the Graph</li> </ul></li> <li>4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>4.4 Theorems about Zeros of Polynomial Functions</li> <li>4.5 Rational Functions <ul> <li>Visualizing the Graph</li> </ul></li> <li>4.6 Polynomial Inequalities and Rational Inequalities</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Exponential Functions and Logarithmic Functions</strong> <ul> <li>5.1 Inverse Functions</li> <li>5.2 Exponential Functions and Graphs</li> <li>5.3 Logarithmic Functions and Graphs <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>5.4 Properties of Logarithmic Functions</li> <li>5.5 Solving Exponential Equations and Logarithmic Equations</li> <li>5.6 Applications and Models: Growth and Decay; Compound Interest</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>The Trigonometric Functions</strong> <ul> <li>6.1 Trigonometric Functions of Acute Angles</li> <li>6.2 Applications of Right Triangles</li> <li>6.3 Trigonometric Functions of Any Angle <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>6.4 Radians, Arc Length, and Angular Speed</li> <li>6.5 Circular Functions: Graphs and Properties</li> <li>6.6 Graphs of Transformed Sine Functions and Cosine Functions</li> <li>Visualizing the Graph</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Trigonometric Identities, Inverse Functions, and Equations</strong> <ul> <li>7.1 Identities: Pythagorean and Sum and Difference</li> <li>7.2 Identities: Cofunction, Double-Angle, and Half-Angle</li> <li>7.3 Proving Trigonometric Identities <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>7.4 Inverses of the Trigonometric Functions</li> <li>7.5 Solving Trigonometric Equations</li> <li>Visualizing the Graph</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Applications of Trigonometry</strong> <ul> <li>8.1 The Law of Sines</li> <li>8.2 The Law of Cosines</li> <li>8.3 Complex Numbers: Trigonometric Notation <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>8.4 Polar Coordinates and Graphs <ul> <li>Visualizing the Graph</li> </ul></li> <li>8.5 Vectors and Applications</li> <li>8.6 Vector Operations</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Systems of Equations and Matrices</strong> <ul> <li>9.1 Systems of Equations in Two Variables <ul> <li>Visualizing the Graph</li> </ul></li> <li>9.2 Systems of Equations in Three Variables</li> <li>9.3 Matrices and Systems of Equations</li> <li>9.4 Matrix Operations <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>9.5 Inverses of Matrices</li> <li>9.6 Determinants and Cramer’s Rule</li> <li>9.7 Systems of Inequalities and Linear Programming</li> <li>9.8 Partial Fractions</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Analytic Geometry Topics</strong> <ul> <li>10.1 The Parabola</li> <li>10.2 The Circle and the Ellipse</li> <li>10.3 The Hyperbola</li> <li>10.4 Nonlinear Systems of Equations and Inequalities <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>10.5 Rotation of Axes</li> <li>10.6 Polar Equations of Conics</li> <li>10.7 Parametric Equations</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> <li><strong>Sequences, Series, and Combinatorics</strong> <ul> <li>11.1 Sequences and Series</li> <li>11.2 Arithmetic Sequences and Series</li> <li>11.3 Geometric Sequences and Series <ul> <li>Visualizing the Graph</li> </ul></li> <li>11.4 Mathematical Induction <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>11.5 Combinatorics: Permutations</li> <li>11.6 Combinatorics: Combinations</li> <li>11.7 The Binomial Theorem</li> <li>11.8 Probability</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Test</li> </ul></li> </ol> <h4>Photo Credits</h4> <h4>Answers // Additional Instructor’s Answers</h4> <h4>Index</h4> <h4>Index of Applications</h4>