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Precalculus, with Pearson MyLab Mathematics, Global Edition

Precalculus, with Pearson MyLab Mathematics, Global Edition

10th Edition

Michael Sullivan, Michael Sullivan

Dec 2017, Valuepack
ISBN13: 9781292121895
ISBN10: 1292121890
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This package includes MyMathLab®.

Prepare. Practice. Review.

Mike 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. The Tenth Edition has evolved to meet today’s course needs.

This package includes MyMathLab, 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.

MyMathLab should only be purchased when required by an instructor. Please be sure you have the correct ISBN and Course ID. Instructors, contact your Pearson representative for more information.

With this new edition, Mike Sullivan has developed MyMathLab features to help better prepare students and get them thinking more visually and conceptually. Features like Getting Ready exercises, Video Assessment exercises Enhanced Graphing Functionality and Skills for Success modules benefit student learning. Also, by implementing the New! Guided Lecture notes that focus students on the important concepts and help structure studying, students will have the most effective tools to succeed.

1. Graphs

1.1 The Distance and Midpoint Formulas

1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

1.3 Lines

1.4 Circles

2. Functions and Their Graphs

2.1 Functions

2.2 The Graph of a Function

2.3 Properties of Functions

2.4 Library of Functions; Piecewise-defined Functions

2.5 Graphing Techniques: Transformations

2.6 Mathematical Models: Building Functions

3. Linear and Quadratic Functions

3.1 Properties of Linear Functions and Linear Models

3.2 Building Linear Models from Data

3.3 Quadratic Functions and Their Properties

3.4 Build Quadratic Models from Verbal Descriptions and from Data

3.5 Inequalities Involving Quadratic Functions

4. Polynomial and Rational Functions

4.1 Polynomial Functions and Models

4.2 Properties of Rational Functions

4.3 The Graph of a Rational Function

4.4 Polynomial and Rational Inequalities

4.5 The Real Zeros of a Polynomial Function

4.6 Complex Zeros; Fundamental Theorem of Algebra

5. Exponential and Logarithmic Functions

5.1 Composite Functions

5.2 One-to-One Functions; Inverse Functions

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

5.7 Financial Models

5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

5.9 Building Exponential, Logarithmic, and Logistic Models from Data

6. Trigonometric Functions

6.1 Angles and Their Measure

6.2 Trigonometric Functions: Unit Circle Approach

6.3 Properties of the Trigonometric Functions

6.4 Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

6.6 Phase Shift; Sinusoidal Curve Fitting

7. Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions

7.2 The Inverse Trigonometric Functions (Continued)

7.3 Trigonometric Equations

7.4 Trigonometric Identities

7.5 Sum and Difference Formulas

7.6 Double-angle and Half-angle Formulas

7.7 Product-to-Sum and Sum-to-Product Formulas

8. Applications of Trigonometric Functions

8.1 Right Triangle Trigonometry; Applications

8.2 The Law of Sines

8.3 The Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

9. Polar Coordinates; Vectors

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; DeMoivre’s Theorem

9.4 Vectors

9.5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product

10. Analytic Geometry

10.1 Conics

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations

11. Systems of Equations and Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination

11.2 Systems of Linear Equations: Matrices

11.3 Systems of Linear Equations: Determinants

11.4 Matrix Algebra

11.5 Partial Fraction Decomposition

11.6 Systems of Nonlinear Equations

11.7 Systems of Inequalities

11.8 Linear Programming

12. Sequences; Induction; the Binomial Theorem

12.1 Sequences

12.2 Arithmetic Sequences

12.3 Geometric Sequences; Geometric Series

12.4 Mathematical Induction

12.5 The Binomial Theorem

13. Counting and Probability

13.1 Counting

13.2 Permutations and Combinations

13.3 Probability

14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function

14.1 Finding Limits Using Tables and Graphs

14.2 Algebra Techniques for Finding Limits

14.3 One-sided Limits; Continuous Functions

14.4 The Tangent Problem; The Derivative

14.5 The Area Problem; The Integral

Appendix A: Review

A.1 Algebra Essentials

A.2 Geometry Essentials

A.3 Polynomials

A.4 Synthetic Division

A.5 Rational Expressions

A.6 Solving Equations

A.7 Complex Numbers; Quadratic Equations in the Complex Number System

A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications

A.9 Interval Notation; Solving Inequalities

A.10 nth Roots; Rational Exponents

Appendix B: Graphing Utilities

B.1 The Viewing Rectangle

B.2 Using a Graphing Utility to Graph Equations

B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry

B.4 Using a Graphing Utility to Solve Equations

B.5 Square Screens

B.6 Using a Graphing Utility to Graph Inequalities

B.7 Using a Graphing Utility to Solve Systems of Linear Equations

B.8 Using a Graphing Utility to Graph a Polar Equation

B.9 Using a Graphing Utility to Graph Parametric Equations

This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

About the Book

Preparing for Class

  • Just-in-time review begins every section to prepare students for the topics ahead.
    • Preparing for This Section lists previously learned concepts that will be useful in the section ahead. Page references are included for easy review.
    • Now Work "Are You Prepared?" problems support the Preparing for This Section feature, allowing students to check that they are ready to proceed to the section ahead or if they need to turn back for further review. These problems appear at the start of each exercise set.
  • Section-level guidance in each section helps students master the material and develop their problem-solving skills.
    • Showcase Examples provide how-to instruction by offering a guided, step-by-step approach to solving a problem. Students can immediately see how each of the steps in a problem is employed. The two-column format describes the steps on the left and displays the algebra, complete with annotations, on the right.
    • Model It examples are now highlighted, making it easy to identify which examples help students learn to build a mathematical model from verbal descriptions or from data. Model It exercises are also included so that instructors can assign these for homework or practice.
    • "Now Work" Problems follow most examples, and point to a related exercise for immediate reinforcement of the skill or concept.
    • Step-by-Step, Annotated Examples contain detailed intermediate steps with additional annotations to help students see specific nuances.
    • Calculus icons appear next to information essential for the study of calculus. When the icon appears next to a definition, the notation used is consistent with that used in calculus.
    • In Words provide alternative descriptions of select definitions and theorems, translating math into plain English.
    • Warnings point out common mistakes and help students avoid them.

Practicing Skills

  • NEW! Guided Lecture Notes help students take thorough, organized, and understandable notes as they watch the Author in Action videos. They ask students to complete definitions, procedures, and examples based on the content of the videos and text.
  • Assess Your Understanding appears at the end of every section and contains a variety of problems for students to master the skills they need.
    • "Are You Prepared?" Problems appear at the start of every exercise set and help students determine exactly what they need to review and where to review it. This feature is referenced from the Preparing for This Section feature. Answers appear at the end of the section.
    • Concepts and Vocabulary questions are fill-in the-blank and true/false items that assess students’ understanding of key definitions and concepts. These have been written to serve as reading quizzes and are now assignable in MyMathLab® and MathXL®.
    • Skill Building problems provide straightforward practice, are organized by difficulty, and are correlated to section examples.
    • Graphical problems use graphs in a variety of ways, supplementing analytical understanding with graphical understanding.
    • Now Work problems, marked by a yellow icon in the exercise set, correspond to a related example within the section. If students get stuck while doing their homework, they can look for the closest Now Work problem and refer back to the related example.
    • Mixed Practice problems offer comprehensive assessment of the skills learned in the section by asking questions that relate to more than one concept or objective. These problems may also require students to utilize skills learned in previous sections, helping them to see how concepts are tied together.
    • Applications and Extensions allow students to apply their skills to real-world problems and to extend concepts learned in the section. These exercises have been updated and many new problems have been added involving sourced information and data sets to bring relevance and timeliness to these exercises. Model It exercises and examples are now highlighted, making it easy to identify which exercises ask students to build a mathematical model from verbal descriptions or from data.
    • Explaining Concepts: Discussion and Writing problems are marked by red numbers. These support class discussion, verbalization of mathematical ideas, and writing and research projects.
  • Exercise sets have been updated and expanded to integrate new question types that give instructors more flexibility and help students build their conceptual understanding.
    • NEW! Retain Your Knowledge exercises help students recall previously learned skills. These problems are considered “final exam material” that students can use to maintain their skills.
    • Mixed Practice problems offer comprehensive assessment of the skills learned in the section by asking questions that relate to more than one concept or objective. These problems may also require students to utilize skills learned in previous sections, helping them to see how concepts are tied together.
    • Concepts and Vocabulary exercises have been written to serve as reading quizzes and are now assignable in MyMathLab® and MathXL®.
    • Model It exercises and examples are now highlighted, making it easy to identify which exercises ask students to build a mathematical model from verbal descriptions or from data.
    • Applications and Extensions have been updated and many new problems have been added involving sourced information and data sets to bring relevance and timeliness to these exercises.

Reviewing for Exams and Quizzes

  • Chapter Reviews at the end of each chapter offer a variety of convenient tools for reference and review.
    • "You Should be Able To…” is a list of every objective by section, with corresponding practice exercises. Doing the recommended exercises allows students to master the key concepts. If they get something wrong, they can easily review the examples and exposition and try again.
    • Review Exercises provide comprehensive review and practice of key skills, matched to the Learning Objectives for each section. These problems combine exercises from all sections, giving students comprehensive review in one place.
    • Chapter Tests contain about 15–20 problems that can help students prepare for in-class exams. For additional help, they can watch an instructor work out full solutions on the Chapter Test Prep Video on YouTube™, on DVD, or in MyMathLab.
    • Cumulative Review problem sets appear at the end of every chapter after Chapter 1. They combine problems from previous chapters, providing an ongoing cumulative review.
    • NEW! Internet-based Chapter Projects, with assignable exercises in MyMathLab, allow students the opportunity to experience mathematics firsthand in an active learning environment. By exploring and considering a variety of carefully guided “what-if” scenarios, they will develop a better understanding of the concepts presented in the section. Students will learn by doing and have fun in the process.

This package includes MyMathLab, an online homework, tutorial, and assessment program designed to work with this text to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.

Personalize learning 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. With this edition, Mike Sullivan has developed MyMathLab features that help better prepare students and get them thinking more visually and conceptually.

  • MyMathLab is closely integrated with the text and offers a variety of question types, for a robust online experience that mirrors the author’s approach.
  • MyMathLab with Integrated Review is a new course option for College Algebra that includes additional review resources (skill check quizzes, personalized homework, review worksheets, and videos) at the beginning of chapters.
  • NEW! Video Assessment is tied to key Author in Action videos, created by Michael Sullivan III,which walk students through exercises typically requested by students for more explanation or tutoring. Instructors can assign these videos and check for students’ conceptual understanding.
  • NEW! Getting Ready: skill review quizzes are assignable throughout the course, testing students on prerequisite knowledge. From these quizzes, each student receives a personalized homework assignment to refresh forgotten concepts.
  • NEW! Adaptive Study Plan: Pearson now offers adaptive learning functionality that continuously analyzes student work and points them toward resources that will maximize their potential for understanding and success.
  • NEW! Skills for Success Module: these modules help students develop the good habits needed in the transition to college and then to professional life.
  • NEW! Enhanced Graphing Functionality: new functionality within the graphing utility allows graphing of 3-point quadratic functions, 4-point cubic graphs, and transformations in exercises.
  • Internet-based Chapter Projects, with assignable exercises in MyMathLab, allow students to experience mathematics first hand in an active learning environment. By exploring and considering a variety of carefully guided “what-if” scenarios, they will develop a better understanding of the concepts presented in the section. Students will learn by doing and have fun in the process.
  • Author Solves It MathXL Videos show Mike Sullivan III working by section through MathXL exercises typically requested by students for more explanation or tutoring. These videos are a result of Sullivan’s experiences in teaching online.