Higher Education

Applied Calculus for the Life and Social Sciences, 1st Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • ISBN-10: 061896259X  |  ISBN-13: 9780618962594
  • 864 Pages
  • © 2009 | Published
  • College Bookstore Wholesale Price = $235.00
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About

Overview

Designed specifically for biology and life/social sciences majors, this applied calculus program motivates students while fostering understanding and mastery. The authors emphasize integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features--from algebra review to study tips--provide extra guidance and practice.Applied Calculus for the Life and Social Sciences features current, relevant examples drawn from government sources, industry, recent events, and other disciplines that appeal to diverse interests. In addition, the program offers a strong support package--including CL MATHSpace Instructor/Student websites and course management tools, instructional DVDs, and solutions manuals--that allows students to review the material independently and retain key concepts.

Features and Benefits

  • CL MATHSpace encompasses the interactive online products and services integrated with Cengage Learning mathematics programs. Ready-to-use content can be accessed through text-specific Student and Instructor Websites and via course management systems. For optimal instruction and learning, CL MATHSpace Homework Powered by WebAssign allows instructors to create assignments from a database of algorithmic questions based on end-of-section exercises.
  • Make a Decision multi-step exercises reinforce students' problem-solving skills by taking real-life applications further, testing what students know about a given problem and prompting them to make decisions within the context of that problem.
  • Non-computational Concept Check questions appear at the end of each section, allowing students to pause and check their understanding of the concepts covered in that section.
  • Appearing in the middle of each chapter, Mid-Chapter Quizzes are single-page tests that let students practice skills and concepts learned in the chapter. This opportunity for self-assessment helps uncover potential weaknesses that might require further review of the material.
  • At the beginning of each exercise set, Skills Review exercises help students practice those skills covered in previous sections; answers are provided at the back of the text to reinforce understanding.
  • Exercise Sets offer opportunities for practice and review. In order to build confidence and increase understanding, the exercises progress from skill-development problems to more challenging, real-world applications.
  • A wide variety of relevant examples--each of which is titled for easy reference--include solutions presented graphically, analytically, and/or numerically to provide further insight into mathematical concepts. Examples that illustrate real-life situations are identified with an icon.

Table of Contents

0. A Precalculus Review
0.1 The Real Number Line and Order
0.2 Absolute Value and Distance on the Real Number Line
0.3 Exponents and Radicals
0.4 Factoring Polynomials
0.5 Fractions and Rationalization
1. Functions, Graphs, and Limits
1.1 The Cartesian Plane and the Distance Formula
1.2 Graphs of Equations
1.3 Lines in the Plane and Slope
1.4 Functions
1.5 Limits
1.6 Continuity
2. Differentiation
2.1 The Derivative and the Slope of a Graph
2.2 Some Rules for Differentiation
2.3 Rates of Change
2.4 The Product and Quotient Rules
2.5 The Chain Rule
2.6 Higher-Order Derivatives
3. Applications of the Derivative
3.1 Increasing and Decreasing Functions
3.2 Extrema and the First-Derivative Test
3.3 Concavity and the Second-Derivative
3.4 Optimization Problems
3.5 Asymptotes
3.6 Curve Sketching: A Summary
3.7 Differentials: Linear Approximation
4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Natural Exponential Functions
4.3 Derivatives of Exponential Functions
4.4 Logarithmic Functions
4.5 Derivatives of Logarithmic Functions
4.6 Exponential Growth and Decay
5. Trigonometric Functions
5.1 Radian Measure of Angles
5.2 The Trigonometric Functions
5.3 Graphs of Trigonometric Functions
5.4 Derivatives of Trigonometric Functions
6. Integration and Its Applications
6.1 Antiderivatives and Indefinite Integrals
6.2 Integration by Substitution and The General Power Rule
6.3 Exponential and Logarithmic Integrals
6.4 Area and the Fundamental Theorem of Calculus
6.5 The Area of a Region Bounded by Two Graphs
6.6 Volumes of Solids of Revolution
7. Techniques of Integration
7.1 Integration by Parts
7.2 Partial Fractions and Logistic Growth
7.3 Integrals of Trigonometric Functions
7.4 The Definite Integral as the Limit of a Sum
7.5 Numerical Integration
7.6 Improper Integrals
8. Matrices
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in More Than Two Variables
8.3 Matrices and Systems of Linear Equations
8.4 Operations with Matrices
8.5 The Inverse of a Matrix
9. Functions of Several Variables
9.1 The Three-Dimensional Coordinate System
9.2 Surfaces in Space
9.3 Functions of Several Variables
9.4 Partial Derivatives
9.5 Extrema of Functions of Two Variables
9.6 Least Squares Regression Analysis
9.7 Double Integrals and Area in the Plane
9.8 Applications of Double Integrals
10. Differential Equations
10.1 Solutions of Differential Equations
10.2 Separation of Variables
10.3 First-Order Linear Differential Equations
10.4 Applications of Differential Equations
11. Probability and Calculus
11.1 Discrete Probability
11.2 Continuous Random Variables
11.3 Expected Value and Variance
Appendix A. Differentiation and Integration Formulas
Appendix B. Additional Topics in Differentiation
B.1 Implicit Differentiation
B.2 Related Rates
Appendic C. Probability and Probability Distributions (web only)
C.1 Probability
C.2 Probability Computations
C.3 Conditional Probability
C.4 Tree Diagrams and Bayes' Theorem
C.5 Probability Distributions
C.6 Normal Distribution
C.7 Binomial Distribution
Appendix D. Properties and Measurement (web only)
D.1 Review of Algebra
D.2 Units of Measurements
Appendix E. Graphing Utility Programs (web only)
E.1 Graphing Utility Programs

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

Eduspace Passkey and eBook  (ISBN-10: 0547178050 | ISBN-13: 9780547178059)

List Price = $108.00  | College Bookstore Wholesale Price = $108.00

Interactive eBook Eduspace  (ISBN-10: 061896312X | ISBN-13: 9780618963126)

List Price = $128.95  | College Bookstore Wholesale Price = $96.75

Website Passkey and eBook  (ISBN-10: 0547178085 | ISBN-13: 9780547178080)

The Website Passkey will be provided to you in your online purchase receipt and also sent via email. There is no physical shipment for Website Passkeys.

List Price = $269.00  | CengageBrain Price = $269.00  | College Bookstore Wholesale Price = $269.00

Blackboard/WebCT - Applied Calculus for the Life and Social Sciences  (ISBN-10: 0618964037 | ISBN-13: 9780618964031)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Student Solutions Guide  (ISBN-10: 0618963421 | ISBN-13: 9780618963423)

The Student Solutions Guide contains detailed, step-by-step solutions to all odd-numbered exercises in the text.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

Online Test Item File  (ISBN-10: 0618963251 | ISBN-13: 9780618963256)

Multimedia Assets  (ISBN-10: 0618963138 | ISBN-13: 9780618963133)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Online Instructor's Resource Manual  (ISBN-10: 0618958614 | ISBN-13: 9780618958610)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Online Complete Solutions Manual  (ISBN-10: 0547199422 | ISBN-13: 9780547199429)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Instructor's Edition  (ISBN-10: 0547203675 | ISBN-13: 9780547203676)

Student Supplements

Eduspace Passkey and eBook  (ISBN-10: 0547178050 | ISBN-13: 9780547178059)

List Price = $108.00  | College Bookstore Wholesale Price = $108.00

Interactive eBook Eduspace  (ISBN-10: 061896312X | ISBN-13: 9780618963126)

List Price = $128.95  | College Bookstore Wholesale Price = $96.75

Website Passkey and eBook  (ISBN-10: 0547178085 | ISBN-13: 9780547178080)

The Website Passkey will be provided to you in your online purchase receipt and also sent via email. There is no physical shipment for Website Passkeys.

List Price = $269.00  | CengageBrain Price = $269.00  | College Bookstore Wholesale Price = $269.00

Blackboard/WebCT - Applied Calculus for the Life and Social Sciences  (ISBN-10: 0618964037 | ISBN-13: 9780618964031)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Student Solutions Guide  (ISBN-10: 0618963421 | ISBN-13: 9780618963423)

The Student Solutions Guide contains detailed, step-by-step solutions to all odd-numbered exercises in the text.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

Online Test Item File  (ISBN-10: 0618963251 | ISBN-13: 9780618963256)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Online Complete Solutions Manual  (ISBN-10: 0547199422 | ISBN-13: 9780547199429)

List Price = $.00  | College Bookstore Wholesale Price = $.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.