Higher Education

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

  • includes Enhanced WebAssign 1-Semester Printed Access Card
  • Ron Larson The Pennsylvania State University, The Behrend College
  • ISBN-10: 1439047839  |  ISBN-13: 9781439047835
  • 864 Pages
  • © 2010 | Published
  • College Bookstore Wholesale Price = $169.00

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. This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.

Features and Benefits

  • This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.
  • 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.

Table of Contents

0. A PRECALCULUS REVIEW.
The Real Number Line and Order. Absolute Value and Distance on the Real Number Line. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization.
1. FUNCTIONS, GRAPHS, AND LIMITS.
The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity.
2. DIFFERENTIATION.
The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change. The Product and Quotient Rules. The Chain Rule. Higher-Order Derivatives.
3. APPLICATIONS OF THE DERIVATIVE.
Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative. Optimization Problems. Asymptotes. Curve Sketching: A Summary. Differentials: Linear Approximation.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay.
5. TRIGONOMETRIC FUNCTIONS.
Radian Measure of Angles. The Trigonometric Functions. Graphs of Trigonometric Functions. Derivatives of Trigonometric Functions.
6. INTEGRATION AND ITS APPLICATIONS.
Antiderivatives and Indefinite Integrals. Integration by Substitution and The General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. Volumes of Solids of Revolution.
7. TECHNIQUES OF INTEGRATION.
Integration by Parts. Partial Fractions and Logistic Growth. Integrals of Trigonometric Functions. The Definite Integral as the Limit of a Sum. Numerical Integration. Improper Integrals.
8. MATRICES.
Systems of Linear Equations in Two Variables. Systems of Linear Equations in More Than Two Variables. Matrices and Systems of Linear Equations. Operations with Matrices. The Inverse of a Matrix.
9. FUNCTIONS OF SEVERAL VARIABLES.
The Three-Dimensional Coordinate System. Surfaces in Space. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Least Squares Regression Analysis. Double Integrals and Area in the Plane. Applications of Double Integrals.
10. DIFFERENTIAL EQUATIONS.
Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations.
11. PROBABILITY AND CALCULUS.
Discrete Probability. Continuous Random Variables. Expected Value and Variance.
Appendix A. Differentiation and Integration Formulas.
Appendix B. Additional Topics in Differentiation.
Implicit Differentiation. Related Rates.
Appendix C. Probability and Probability Distributions (web only)
C.1 Probability. Probability Computations. Conditional Probability. Tree Diagrams and Bayes' Theorem. Probability Distributions. Normal Distribution. Binomial Distribution.
Appendix D. Properties and Measurement (web only).
Review of Algebra. Units of Measurements.
Appendix E. Graphing Utility Programs (web only).
Graphing Utility Programs.

What's New

  • 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.

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

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

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

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 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

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

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

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

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

Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses  (ISBN-10: 1285857615 | ISBN-13: 9781285857619)

IMPORTANT: When purchasing this instant access code for Applied Math, ensure that you are using it in one of the following courses: Applied Math, Finite Math or Applied Calculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

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

Student Supplements

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

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

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

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

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

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

Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses  (ISBN-10: 1285857615 | ISBN-13: 9781285857619)

IMPORTANT: When purchasing this instant access code for Applied Math, ensure that you are using it in one of the following courses: Applied Math, Finite Math or Applied Calculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

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.