Higher Education

Precalculus with Limits: A Graphing Approach, 4th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Robert P. Hostetler The Pennsylvania State University, The Behrend College
  • Bruce H. Edwards University of Florida
  • ISBN-10: 0618394788  |  ISBN-13: 9780618394784
  • 1104 Pages
  • Previous Editions: 2001, 1997, 1994
  • © 2005 | Published
  • College Bookstore Wholesale Price = $219.50

About

Overview

As part of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Precalculus with Limits: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

Features and Benefits

  • Accessibility to students is achieved through careful writing and design, including same-page examples and solutions, which maximize the readability of the text. Similarly, side-by-side solutions show algebraic, visual, and numeric representations of the mathematics to support students' various learning styles.
  • The Library of Functions thread throughout the text provides a definition and list of characteristics for each elementary function and compares newly introduced functions to those already presented to increase students' understanding of these important concepts.
  • Technology Support notes provided at point-of-use throughout the text guide students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented.
  • Houghton Mifflin's Eduspace online classroom management tool offers instructors the option to assign homework and tests online, provides tutorial support for students needing additional help, and includes the ability to grade any of these assignments automatically.

Table of Contents

Note: Each chaper concludes with a Chapter Summary, Review Exercises, and a Chapter Test.
1. Functions and Their Graphs
Introduction to Library of Functions
1.1 Lines in the Plane
1.2 Functions
1.3 Graphs of Functions
1.4 Shifting, Reflecting, and Stretching Graphs
1.5 Combinations of Functions
1.6 Inverse Functions
1.7 Exploring Data: Linear Models and Scatter Plots
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions of Higher Degree
2.3 Real Zeros of Polynomial Functions
2.4 Complex Numbers
2.5 The Fundamental Theorem of Algebra
2.6 Rational Functions and Asymptotes
2.7 Graphs of Rational Functions
2.8 Exploring Data: Quadratic Models
3. Exponential and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
3.6 Exploring Data: Nonlinear Models
Cumulative Test: Chapters 1-3
4. Trigonometric Functions
4.1 Radian and Degree Measure
4.2 Trigonmetric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications and Models
5. Analytic Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations
5.4 Sum and Difference Formulas
5.5 Multiple-Angle and Product-to-Sum Formulas
6. Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Vectors in the Plane
6.4 Vectors and Dot Products
6.5 Trigonometric Form of a Complex Number
Cumulative Test: Chapters 4-6
7. Linear Systems and Matrices
7.1 Solving Systems of Equations
7.2 Systems of Linear Equations in Two Variables
7.3 Multivariable Linear Systems
7.4 Matrices and Systems of Equations
7.5 Operations with Matrices
7.6 The Inverse of a Square Matrix
7.7 The Determinant of a Square Matrix
7.8 Applications of Matrices and Determinants
8. Sequences, Series, and Probability
8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability
9. Topics in Analytic Geometry
9.1 Introduction to Conics: Parabolas
9.2 Ellipses
9.3 Hyperbolas
9.4 Rotation and Systems of Quadratic Equations
9.5 Parametric Equations
9.6 Polar Coordinates
9.7 Graphs of Polar Equations
9.8 Polar Equations of Conics
Cumulative Test: Chapters 7-9
10. Analytic Geometry in Three Dimensions
10.1 The Three-Dimensional Coordinate System
10.2 Vectors in Space
10.3 The Cross Product of Two Vectors
10.4 Lines and Planes in Space
11. Limits and an Introduction to Calculus
11.1 Introduction to Limits
11.2 Techniques for Evaluating Limits
11.3 The Tangent Line Problem
11.4 Limits at Infinity and Limits of Sequences
11.5 The Area Problem
Cumulative Test: Chapters 10-11
Appendix A Technology Support Guide
Appendix B Review of Graphs, Equations, and Inequalities
B.1 The Cartesian Plane
B.2 Graphs of Equations
B.3 Solving Equations Algebraically and Graphically
B.4 Solving Inequalities Algebraically and Graphically
B.5 Exploring Data: Representing Data Graphically
Appendix C Proofs of Selected Theorems
Appendix D Concepts in Statistics
D.1 Measures of Central Tendency and Dispersion
D.2 Least Squares Regression
Appendix E Solving Linear Equations and Inequalities
Appendix F Systems of Inequalities
F.1 Solving Systems of Inequalities
F.2 Linear Programming

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Downloadable PDF eBook  (ISBN-10: 061856389X | ISBN-13: 9780618563890)

A passkey to access the Downloadable eBook will be provided to you in your online purchase receipt and also sent via email. You will also receive instructions for where/how to use your passkey. There is no physical shipment for eBook Passkeys.A passkey to access the accompanying Textbook Website is not included in this purchase.As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Precalculus with Limits: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

List Price = $133.95  | CengageBrain Price = $133.95  | College Bookstore Wholesale Price = $133.95

DVD  (ISBN-10: 0618394877 | ISBN-13: 9780618394876)

List Price = $106.95  | CengageBrain Price = $106.95  | College Bookstore Wholesale Price = $80.50

MATHSpace CD-ROM  (ISBN-10: 0618394834 | ISBN-13: 9780618394838)

List Price = $31.95  | College Bookstore Wholesale Price = $23.75

HM Testing with ClassPrep  (ISBN-10: 0618394850 | ISBN-13: 9780618394852)

Texas Application Booklet  (ISBN-10: 0618751777 | ISBN-13: 9780618751778)

List Price = $14.95  | College Bookstore Wholesale Price = $11.50

Instructor's Solutions Guide and Test Item  (ISBN-10: 0618394826 | ISBN-13: 9780618394821)

Eduspace Essential Passkey  (ISBN-10: 0618752870 | ISBN-13: 9780618752874)

Your Eduspace Essential Student Passkey will be sent to you digitally via your online purchase receipt and also sent via email.Your passkey is needed in order to access an Eduspace Essential course. Individual passkeys must be purchased for each course enrollment.Eduspace is Houghton Mifflin's online learning tool. It may be required by your instructor to complete online homework and assignments. Eduspace also offers powerful tools and text-specific content that will help you get a better grade.Eduspace Essential courses contain:

List Price = $45.00  | College Bookstore Wholesale Price = $45.00

Annotated Instructor's Edition  (ISBN-10: 0618394796 | ISBN-13: 9780618394791)

Student Supplements

Downloadable PDF eBook  (ISBN-10: 061856389X | ISBN-13: 9780618563890)

A passkey to access the Downloadable eBook will be provided to you in your online purchase receipt and also sent via email. You will also receive instructions for where/how to use your passkey. There is no physical shipment for eBook Passkeys.A passkey to access the accompanying Textbook Website is not included in this purchase.As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Precalculus with Limits: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

List Price = $133.95  | CengageBrain Price = $133.95  | College Bookstore Wholesale Price = $133.95

DVD  (ISBN-10: 0618394877 | ISBN-13: 9780618394876)

List Price = $106.95  | CengageBrain Price = $106.95  | College Bookstore Wholesale Price = $80.50

MATHSpace CD-ROM  (ISBN-10: 0618394834 | ISBN-13: 9780618394838)

List Price = $31.95  | College Bookstore Wholesale Price = $23.75

Texas Application Booklet  (ISBN-10: 0618751777 | ISBN-13: 9780618751778)

List Price = $14.95  | College Bookstore Wholesale Price = $11.50

Eduspace Essential Passkey  (ISBN-10: 0618752870 | ISBN-13: 9780618752874)

Your Eduspace Essential Student Passkey will be sent to you digitally via your online purchase receipt and also sent via email.Your passkey is needed in order to access an Eduspace Essential course. Individual passkeys must be purchased for each course enrollment.Eduspace is Houghton Mifflin's online learning tool. It may be required by your instructor to complete online homework and assignments. Eduspace also offers powerful tools and text-specific content that will help you get a better grade.Eduspace Essential courses contain:

List Price = $45.00  | College Bookstore Wholesale Price = $45.00

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

Robert P. Hostetler

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Bruce H. Edwards

Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogotá, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991–1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.