Precalculus

Functions and Graphs

Mark Dugopolski (Autor)

Buch | Hardcover

960 Seiten

2012 | 4th edition
Pearson (Verlag)
978-0-321-78943-3 (ISBN)

Titel erscheint in neuer Auflage

Artikel merken

For courses in Precalculus.

The Right Tools to Drive Your Success

Dugopolski’s Precalculus: Functions and Graphs, Fourth Edition gives students the essential strategies they need to make the transition to calculus. Along the way, students see how the algebra connects to their future calculus courses, with tools like Foreshadowing Calculus and Concepts of Calculus. The author’s emphasis on problem solving and critical thinking is enhanced by a new MyMathLab course, where students will find new Video Assessment questions tied to section lecture videos; Getting Ready material to help learn necessary prerequisite skills; Guided Visualizations, and more!

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.

This Media Update features an enhanced MyMathLab course. This © 2017 version of the textbook is completely compatible with the earlier © 2013 version.

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:

0134265300 / 9780134265308 Precalculus: Functions and Graphs, MyMathLab Update Plus MyMathLab with Pearson eText -- Access Card Package 4/e

Package consists of:

0134429389 / 9780134429380 Sticker for Precalculus: Functions and Graphs, MyMathLab Update

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321789431 / 9780321789433 Precalculus: Functions and Graphs

Mark Dugopolski was born in Menominee, Michigan. After receiving a B.S. from Michigan State University, he taught high school for four years, and then went on to receive an M.S. in mathematics from Northern Illinois University. He also received a Ph.D. in the area of topology from the University of Illinois at Champaign-Urbana. Mark has been teaching at Southeastern Louisiana in Hammond, LA, ever since. Mark has been writing textbooks for about fifteen years. He is married and has two daughters, and enjoys playing tennis, jogging, and riding his bicycle in his spare time.

Table of Contents

Equations, Inequalities, and Modeling

1-1 Equations in One Variable
1-2 Constructing Models to Solve Problems
1-3 Equations and Graphs in Two Variables
1-4 Linear Equations in Two Variables
1-5 Scatter Diagrams and Curve Fitting
1-6 Complex Numbers
1-7 Quadratic Equations
1-8 Linear and Absolute Value Inequalities
Chapter 1 Highlights
Chapter 1 Review Exercises
Chapter 1 Test
Concepts of Calculus: Limits

Functions and Graphs

2-1 Functions
2-2 Graphs of Relations and Functions
2-3 Families of Functions, Transformations, and Symmetry
2-4 Operations with Functions
2-5 Inverse Functions
2-6 Constructing Functions with Variation
Chapter 2 Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change

Polynomial and Rational Functions

3-1 Quadratic Functions and Inequalities
3-2 Zeroes of Polynomial Functions
3-3 The Theory of Equations
3-4 Miscellaneous Equations
3-5 Graphs of Polynomial Functions
3-6 Rational Functions and Inequalities
Chapter 3 Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change of the Power Functions

Exponential and Logarithmic Functions

4-1 Exponential Functions and Their Applications
4-2 Logarithmic Functions and Their Applications
4-3 Rules of Logarithms
4-4 More Equations and Applications
Chapter 4 Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying it all Together
Concepts of Calculus: The Instantaneous Rate of Change of f(x)= ex

The Trigonometric Functions

5-1 Angles and Their Measurements
5-2 The Sine and Cosine Functions
5-3 The Graphs of the Sine and Cosine Functions
5-4 The Other Trigonometric Functions and Their Graphs
5-5 The Inverse Trigonometric Functions
5-6 Right Triangle Trigonometry
Chapter 5 Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying it all Together
Concepts of Calculus: Evaluating Transcendental Functions

Trigonometric Identities and Conditional Equations

6-1 Basic Identities
6-2 Verifying Identities
6-3 Sum and Difference Identities
6-4 Double-Angle and Half-Angle Identities
6-5 Product and Sum Identities
6-6 Conditional Trigonometric Functions
Chapter 6 Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying it all Together
Concepts of Calculus: Area of A Circle and n

Applications of Trigonometry

7-1 The Law of Sines
7-2 The Law of Cosines
7-3 Vectors
7-4 Trigonometric Form of Complex Numbers
7-5 Powers and Roots of Complex and Numbers
7-6 Polar Equations
Chapter 7 Highlights
Chapter 7 Review Exercises
Chapter 7 Test
Tying it all Together
Concepts of Calculus: Limits and Asymptotes

Systems of Equations and Inequalities

8-1 Systems of Linear Equations in Two Variables
8-2 Systems of Linear Equations in Three Variables
8-3 Nonlinear Systems of Inequalities
8-4 Partial Fractions
8-5 Inequalities and Systems of Inequalities in Two Variables
8-6 The Linear Programming Model
Chapter 8 Highlights
Chapter 8 Review Exercises
Chapter 8 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change and Partial Fractions

Matrices and Determinants

9-1 Solving Linear Systems Using Matrices
9-2 Operations with Matrices
9-3 Multiplication of Matrices
9-4 Inverses of Matrices
9-5 Solution of Linear Systems in Two Variables Using Determinants
9-6 Solution of Linear Systems in Three Variables Using Determinants
Chapter 9 Highlights
Chapter 9 Review Exercises
Chapter 9 Test
Tying it all Together

The Conic Series

10-1 The Parabola
10-2 The Ellipse and the Circle
10-3 The Hyperbola
10-4 Rotation of Axes
10-5 Polar Equations of the Conics
Chapter 10 Highlights
Chapter 10 Review Exercises
Chapter 10 Test
Tying it all Together
Concepts of Calculus: The Reflection Property of a Parabola

Sequences, Series, and Probability

11-1 Sequences
11-2 Series
11-3 Geometric Sequences and Series
11-4 Counting and Permutations
11-5 Combinations, Labeling, and the Binomial Theorem
11-6 Probability
11-7 Mathematical Induction
Chapter 11 Highlights
Chapter 11 Review Exercises
Chapter 11 Test
Concepts of Calculus: Limits of Sequences

A. Appendix: Solutions to Try This Exercises B. Appendix: Basic Algebra Review

B-1 Real Numbers and Their Properties
B-2 Exponents and Radicals
B-3 Polynomials
B-4 Factorials Polynomials
B-5 Rational Expressions

Credits Answers to Selected Exercises Index of Applications Index

Erscheint lt. Verlag	1.3.2012
Sprache	englisch
Maße	10 x 10 mm
Gewicht	2023 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-321-78943-1 / 0321789431
ISBN-13	978-0-321-78943-3 / 9780321789433
Zustand	Neuware