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Product Overview

  • Calculus I with Precalculus: A One-Year Course, 2nd 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: 0618568069  ISBN-13: 9780618568062 
  • 1104 Pages  Hardcover 
  • ©2006     Published
  • College Bookstore Wholesale Price = $193.50  
Carefully developed for one-year courses that combine and integrate material from Precalculus through Calculus I, this text is ideal for instructors who wish to successfully bring students up to speed algebraically within precalculus and transition them into calculus. The Larson Calculus texts continue to offer instructors and students new and innovative teaching and learning resources. The Calculus series was the first to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer this two-semester Calculus I with Precalculus text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time.
  • The explanations, theorems, and definitions have been thoroughly and critically reviewed. Additionally, the exercise sets have been carefully and extensively examined to ensure they cover calculus and precalculus topics appropriately.
  • Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety of question formats, including matching, free response, true/false, modeling, and fill-in the blank.
  • The Eduspace online resources have been integrated into a comprehensive learning system that combines numerous dynamic calculus resources with online homework and testing materials.
  • The Integrated Learning System addresses the changing needs of today's instructors and students. Recognizing that the calculus course is presented in a variety of teaching and learning environments, the program resources are available in print, CD-ROM, and online formats.
  • SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.
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 2012 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE 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
Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.
2002

Note: Each chapter concludes with Problem Solving.
P. Prerequisites
P.1 Solving Equations
Section Project: Projectile Motion
P.2 Solving Inequalities
P.3 Graphical Representation of Data
P.4 Graphs of Equations
P.5 Linear Equations in Two Variables
1. Functions and Their Graphs
1.1 Functions
1.2 Analyzing Graphs of Functions
1.3 Shifting, Reflecting, and Stretching Graphs
1.4 Combinations of Functions
1.5 Inverse Functions
1.6 Mathematical Modeling
Section Project: Hooke's Law
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial and Synthetic Division
2.4 Complex Numbers
Section Project: The Mandelbrot Set
2.5 The Fundamental Theorem of Algebra
2.6 Rational Functions
Section Project: Rational Functions
3. Limits and Their Properties
3.1 A Preview of Calculus
3.2 Finding Limits Graphically and Numerically
3.3 Evaluating Limits Analytically
3.4 Continuity and One-Sided Limits
3.5 Infinite Limits
Section Project: Graphs and Limits of Functions

Progressive Summary 1: Flowchart of Calculus

4. Differentiation
4.1 The Derivative and the Tangent Line Problem
4.2 Basic Differentiation Rules and Rates of Change
4.3 The Product and Quotient Rules and Higher-Order Derivatives
4.4 The Chain Rule
4.5 Implicit Differentiation
Section Project: Optical Illusions
4.6 Related Rates
5. Applications of Differentiation
5.1 Extrema on an Interval
5.2 Rolle's Theorem and the Mean Value Theorem
5.3 Increasing and Decreasing Functions and the First Derivative Test
5.4 Concavity and the Second Derivative Test
5.5 Limits at Infinity
5.6 A Summary of Curve Sketching
5.7 Optimization Problems
Section Project: Connecticut River
5.8 Differentials
6. Integration
6.1 Antiderivatives and Indefinite Integration
6.2 Area
6.3 Riemann Sums and Definite Integrals
6.4 The Fundamental Theorem of Calculus
Section Project: Demonstrating the Fundamental Theorem
6.5 Integration by Substitution
6.6 Numerical Integration

Progressive Summary 2: Flowchart of Calculus

7. Exponential and Logarithmic Functions
7.1 Exponential Functions and Their Graphs
7.2 Logarithmic Functions and Their Graphs
7.3 Using Properties of Logarithms
7.4 Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Models
Section Project: Comparing Models
8. Exponential and Logarithmic Functions and Calculus
8.1 Exponential Functions: Differentiation and Integration
8.2 Logarithmic Functions and Differentiation
Section Project: An Alternate Definition of ln x
8.3 Logarithmic Functions and Integration
8.4 Differential Equations: Growth and Decay
Progressive Summary 3: Flowchart of Calculus
9. Trigonometric Functions
9.1 Radian and Degree Measure
9.2 Trigonometric Functions: The Unit Circle
9.3 Right Triangle Trigonometry
9.4 Trigonometric Functions of Any Angle
9.5 Graphs of Sine and Cosine Functions
Section Project: Approximating Sine and Cosine Functions
9.6 Graphs of Other Trigonometric Functions
9.7 Inverse Trigonometric Functions
9.8 Applications and Models
10. Analytic Trigonometry
10.1 Using Fundamental Trigonometric Identities
10.2 Verifying Trigonometric Identities
10.3 Solving Trigonometric Equations
Section Project: Modeling a Sound Wave
10.4 Sum and Difference Formulas
10.5 Multiple-Angle and Product-to-Sum Formulas
11. Trigonometric Functions and Calculus
11.1 Limits of Trigonometric Functions
Section Project: Graphs and Limits of Trigonometric Functions
11.2 Trigonometric Functions: Differentiation
11.3 Trigonometric Functions: Integration
11.4 Inverse Trigonometric Functions: Differentiation
11.5 Inverse Trigonometric Functions: Integration
11.6 Hyperbolic Functions
Section Project: St. Louis Arch

Progressive Summary 4: Flowchart of Calculus

12. Topics in Analytic Geometry
12.1 Introduction to Conics: Parabolas
12.2 Ellipses and Implicit Differentiation
12.3 Hyperbolas and Implicit Differentiation
12.4 Parametric Equations and Calculus
12.5 Polar Coordinates and Calculus
12.6 Graphs of Polar Equations
12.7 Polar Equations of Conics
Section Project: Polar Equations of Planetary Orbits

Progressive Summary 5: Flowchart of Calculus

13. Additional Topics in Trigonometry
13.1 Law of Sines
13.2 Law of Cosines
13.3 Vectors in the Plane
Section Project: Adding Vectors Graphically
13.4 Vectors and Dot Products
13.5 Trigonometric Form of a Complex Number
14. Systems of Equations and Matrices
14.1 Systems of Linear Equations in Two Variables
14.2 Multivariable Linear Systems
14.3 Systems of Inequalities
Section Project: Area Bounded by Concentric Circles
14.4 Matrices and Systems of Equations
14.5 Operations with Matrices
14.6 The Inverse of a Square Matrix
14.7 The Determinant of a Square Matrix
Section Project: Cramer's Rule

Appendices
A. Proofs of Selected Theorems
B. Applications of Integration
C. Study Capsules
1. Graphing Algebraic Functions
2. Limits of Algebraic Functions
3. Differentiation of Algebraic Functions
4. Calculus of Algebraic Functions
5. Calculus of Exponential and Logarithmic Functions
6. Trigonometric Functions
7. Calculus of Trigonometric and Inverse Trigonometric Functions

Instructor Supplements

All supplements have been updated in coordination with the Main title.
Please see Main title page for new to this edition information.
Complete Solutions Guide (ISBN-10: 0618568085 | ISBN-13: 9780618568086)
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 = $35.95
|
College Bookstore Wholesale Price = $26.50
HM MATHSpace CD-ROM (ISBN-10: 0618568107 | ISBN-13: 9780618568109)
For students without access to the rich resources of Eduspace, this CD provides a wealth of learning resources including algorithmically-generated prerequisite skill practice, tutorial resources, and a color graphing calculator.
List Price = $24.95
|
College Bookstore Wholesale Price = $18.50
Instructor's Resource Guide with Test Item File (ISBN-10: 0618568093 | ISBN-13: 9780618568093)
a sample of each of the test items available within HM Testing is provided in a variety of formats.
Student Solutions Guide (ISBN-10: 0618568077 | ISBN-13: 9780618568079)
Solutions to all odd-numbered text exercises.
List Price = $85.95
|
College Bookstore Wholesale Price = $63.50

Student Supplements

All supplements have been updated in coordination with the Main title.
Please see Main title page for new to this edition information.
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 = $35.95
|
College Bookstore Wholesale Price = $26.50
HM MATHSpace CD-ROM (ISBN-10: 0618568107 | ISBN-13: 9780618568109)
For students without access to the rich resources of Eduspace, this CD provides a wealth of learning resources including algorithmically-generated prerequisite skill practice, tutorial resources, and a color graphing calculator.
List Price = $24.95
|
College Bookstore Wholesale Price = $18.50
Student Solutions Guide (ISBN-10: 0618568077 | ISBN-13: 9780618568079)
Solutions to all odd-numbered text exercises.
List Price = $85.95
|
College Bookstore Wholesale Price = $63.50
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