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For one-semester courses in Calculus.
This package includes MyLab Math.
Helps students “get the idea.”
Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version , 14th Edition offers more built-in guidance than any other text in its field — with special emphasis on applications and prerequisite skills — and a host of student-friendly features to help students catch up or learn on their own. The text’s emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab™ Math course.
Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version contains Chapters 1-8 and is designed for a one-term course in Applied Calculus. The full version of Calculus for Business, Economics, Life Sciences, and Social Sciences, 14 th Edition includes Chapters 1-11 and is generally used for a 2-semester course.
Personalize learning with MyLab Math
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0134862643 / 9780134862644 Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, and MyLab Math with Pearson eText – Title-Specific Access Card Package, 14/e
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Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish.
Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.
Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.
Christopher Stocker received his B.S. in mathematics and computer science from St. John’s University in Minnesota and his M.A. and Ph.D. degrees in mathematics from the University of Illinois in Urbana-Champaign. He is currently an Adjunct Assistant Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University. He has published eight research articles in the areas of graph theory and combinatorics.
Preface
Diagnostic Prerequisite Test
1. Functions and Graphs
1.1 Functions
1.2 Elementary Functions: Graphs and Transformations
1.3 Linear and Quadratic Functions
1.4 Polynomial and Rational Functions
1.5 Exponential Functions
1.6 Logarithmic Functions
Chapter 1 Summary and Review
Review Exercises
2. Limits and the Derivative
2.1 Introduction to Limits
2.2 Infinite Limits and Limits at Infinity
2.3 Continuity
2.4 The Derivative
2.5 Basic Differentiation Properties
2.6 Differentials
2.7 Marginal Analysis in Business and Economics
Chapter 2 Summary and Review
3. Additional Derivative Topics
3.1 The Constant e and Continuous Compound Interest
3.2 Derivatives of Exponential and Logarithmic Functions
3.3 Derivatives of Products and Quotients
3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Related Rates
3.7 Elasticity of Demand
Chapter 3 Summary and Review
4. Graphing and Optimization
4.1 First Derivative and Graphs
4.2 Second Derivative and Graphs
4.3 L’Hôpital’s Rule
4.4 Curve-Sketching Techniques
4.5 Absolute Maxima and Minima
4.6 Optimization
Chapter 4 Summary and Review
5. Integration
5.1 Antiderivatives and Indefinite Integrals
5.2 Integration by Substitution
5.3 Differential Equations; Growth and Decay
5.4 The Definite Integral
5.5 The Fundamental Theorem of Calculus
Chapter 5 Summary and Review
6. Additional Integration Topics
6.1 Area Between Curves
6.2 Applications in Business and Economics
6.3 Integration by Parts
6.4 Other Integration Methods
Chapter 6 Summary and Review
7. Multivariable Calculus
7.1 Functions of Several Variables
7.2 Partial Derivatives
7.3 Maxima and Minima
7.4 Maxima and Minima Using Lagrange Multipliers
7.5 Method of Least Squares
7.6 Double Integrals over Rectangular Regions
7.7 Double Integrals over More General Regions
Chapter 7 Summary and Review
Appendix A: Basic Algebra Review
A.1 Real Numbers
A.2 Operations on Polynomials
A.3 Factoring Polynomials
A.4 Operations on Rational Expressions
A.5 Integer Exponents and Scientific Notation
A.6 Rational Exponents and Radicals
A.7 Quadratic Equations
Appendix B: Special Topics (online at goo.gl/mjbXrG)
B.1 Sequences, Series, and Summation Notation
B.2 Arithmetic and Geometric Sequences
B.3 Binomial Theorem
B.4 Interpolating Polynomials and Divided Differences
Appendix C: Integration Using Tables
Answers
Index
Index of Applications
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