Calculus for Business, Economics, Life Sciences, and Social Sciences GLOBAL 14th Edition, ISBN-13: 978-1292266152

Calculus for Business, Economics, Life Sciences, and Social Sciences GLOBAL 14th Edition, ISBN-13: 978-1292266152

[PDF eBook eTextbook]

• Publisher: ‎ Pearson; Global 14th edition (December 12, 2018)
• Language: ‎ English
• ‎800 pages
• ISBN-10: ‎ 1292266155
• ISBN-13: ‎ 978-1292266152

For two-semester courses in Calculus.

Helps students “get the idea.”

Calculus for Business, Economics, Life Sciences, and Social Sciences, 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 and updated data and applications.

Features:

– Matched Problems accompanying each of the more than 300 worked examples to
help students grasp concepts and assess their understanding
– Explore and Discuss problems that help to introduce new concepts or build upon a
current topic
– Exercise sets differentiated by level of difficulty that allow instructors to craft
assignments according to their students’ levels
– Additional Conceptual Questions to assess concepts and vocabulary
– Setup & Solve exercises that require students to show how they set up a
problem along with the solution
– Interactive Figures that illustrate key concepts and allow manipulation

Table of Contents:

Preface 6
Diagnostic Prerequisite Test 17
Chapter 1 Functions and Graphs 19
1.1 Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . .20
1.2 Elementary Functions: Graphs and Transformations . . . . . . . .35
1.3 Linear and Quadratic Functions . . . . . . . . . . . . . . . . .47
1.4 Polynomial and Rational Functions . . . . . . . . . . . . . . . .69
1.5 Exponential Functions . . . . . . . . . . . . . . . . . . . . . .80
1.6 Logarithmic Functions . . . . . . . . . . . . . . . . . . . . . .90
1.7 Right Triangle Trigonometry . . . . . . . . . . . . . . . . . . 102
1.8 Trigonometric Functions . . . . . . . . . . . . . . . . . . . . 109
Chapter 1 Summary and Review . . . . . . . . . . . . . . . . . . 117
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 121
Chapter 2 Limits and the Derivative 127
2.1 Introduction to Limits . . . . . . . . . . . . . . . . . . . . . 128
2.2 Infinite Limits and Limits at Infinity . . . . . . . . . . . . . . . 141
2.3 Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . 154
2.4 The Derivative . . . . . . . . . . . . . . . . . . . . . . . . 166
2.5 Basic Differentiation Properties. . . . . . . . . . . . . . . . . 181
2.6 Differentials . . . . . . . . . . . . . . . . . . . . . . . . . 191
2.7 Marginal Analysis in Business and Economics. . . . . . . . . . 198
Chapter 2 Summary and Review . . . . . . . . . . . . . . . . . . 209
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 210
Chapter 3 Additional Derivative Topics 216
3.1 The Constant e and Continuous Compound Interest . . . . . . . 217
3.2 Derivatives of Exponential and Logarithmic Functions . . . . . . 223
3.3 Derivatives of Trigonometric Functions . . . . . . . . . . . . . 232
3.4 Derivatives of Products and Quotients . . . . . . . . . . . . . 238
3.5 The Chain Rule . . . . . . . . . . . . . . . . . . . . . . . . 246
3.6 Implicit Differentiation . . . . . . . . . . . . . . . . . . . . . 257
3.7 Related Rates. . . . . . . . . . . . . . . . . . . . . . . . . 264
3.8 Elasticity of Demand . . . . . . . . . . . . . . . . . . . . . 270
Chapter 3 Summary and Review . . . . . . . . . . . . . . . . . . 278
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 279
Chapter 4 Graphing and Optimization 282
4.1 First Derivative and Graphs . . . . . . . . . . . . . . . . . . 283
4.2 Second Derivative and Graphs . . . . . . . . . . . . . . . . 299
4.3 L’Hôpital’s Rule . . . . . . . . . . . . . . . . . . . . . . . . 316
4.4 Curve-Sketching Techniques . . . . . . . . . . . . . . . . . . 325
4.5 Absolute Maxima and Minima. . . . . . . . . . . . . . . . . 338
4.6 Optimization . . . . . . . . . . . . . . . . . . . . . . . . . 346
Chapter 4 Summary and Review . . . . . . . . . . . . . . . . . . 359
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 360
Chapter 5 Integration 364
5.1 Antiderivatives and Indefinite Integrals . . . . . . . . . . . . . 365
5.2 Integration by Substitution . . . . . . . . . . . . . . . . . . . 377
5.3 Differential Equations; Growth and Decay . . . . . . . . . . . 389
5.4 The Definite Integral. . . . . . . . . . . . . . . . . . . . . . 400
5.5 The Fundamental Theorem of Calculus . . . . . . . . . . . . . 411
5.6 Area Between Curves . . . . . . . . . . . . . . . . . . . . . 423
Chapter 5 Summary and Review . . . . . . . . . . . . . . . . . . 433
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 436
Chapter 6 Additional Integration Topics 440
6.1 Integration by Parts . . . . . . . . . . . . . . . . . . . . . . 441
6.2 Other Integration Methods. . . . . . . . . . . . . . . . . . . 448
6.3 Applications in Business and Economics . . . . . . . . . . . . 460
6.4 Integration of Trigonometric Functions . . . . . . . . . . . . . 472
Chapter 6 Summary and Review . . . . . . . . . . . . . . . . . . 477
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 478
Chapter 7 Multivariable Calculus 481
7.1 Functions of Several Variables . . . . . . . . . . . . . . . . . 482
7.2 Partial Derivatives. . . . . . . . . . . . . . . . . . . . . . . 491
7.3 Maxima and Minima . . . . . . . . . . . . . . . . . . . . . 500
7.4 Maxima and Minima Using Lagrange Multipliers . . . . . . . . 508
7.5 Method of Least Squares . . . . . . . . . . . . . . . . . . . 517
7.6 Double Integrals over Rectangular Regions . . . . . . . . . . . 528
7.7 Double Integrals over More General Regions . . . . . . . . . . 537
Chapter 7 Summary and Review . . . . . . . . . . . . . . . . . . 546
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 548
Chapter 8 Differential Equations 551
8.1 Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . 552
8.2 Separation of Variables . . . . . . . . . . . . . . . . . . . . 562
8.3 First-Order Linear Differential Equations. . . . . . . . . . . . . 574
Chapter 8 Summary and Review . . . . . . . . . . . . . . . . . . 585
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 587
Chapter 9 Taylor Polynomials and Infinite Series 589
9.1 Taylor Polynomials. . . . . . . . . . . . . . . . . . . . . . 590
9.2 Taylor Series . . . . . . . . . . . . . . . . . . . . . . . . 603
9.3 Operations on Taylor Series . . . . . . . . . . . . . . . . . 614
9.4 Approximations Using Taylor Series. . . . . . . . . . . . . . 624
Chapter 9 Summary and Review . . . . . . . . . . . . . . . . . . 633
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 635
Chapter 10 Probability and Calculus 637
10.1 Improper Integrals . . . . . . . . . . . . . . . . . . . . . . 638
10.2 Continuous Random Variables . . . . . . . . . . . . . . . . 646
10.3 Expected Value, Standard Deviation, and Median . . . . . . . 657
10.4 Special Probability Distributions . . . . . . . . . . . . . . . 667
Chapter 10 Summary and Review . . . . . . . . . . . . . . . . . 678
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 679
Appendix A Basic Algebra Review 682
A.1 Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . 682
A.2 Operations on Polynomials . . . . . . . . . . . . . . . . . . 688
A.3 Factoring Polynomials . . . . . . . . . . . . . . . . . . . . . 694
A.4 Operations on Rational Expressions . . . . . . . . . . . . . . 700
A.5 Integer Exponents and Scientific Notation . . . . . . . . . . . 706
A.6 Rational Exponents and Radicals. . . . . . . . . . . . . . . . 710
A.7 Quadratic Equations . . . . . . . . . . . . . . . . . . . . . 716
Appendix B Special Topics (online) A1
B.1 Sequences, Series, and Summation Notation . . . . . . . . . . A1
B.2 Arithmetic and Geometric Sequences. . . . . . . . . . . . . . A7
B.3 Binomial Theorem. . . . . . . . . . . . . . . . . . . . . . . A13
B.4 Interpolating Polynomials and Divided Differences. . . . . . . . A16
Appendix C Tables 725
Table 1: Integration Formulas . . . . . . . . . . . . . . . . . . . . 725
Table 2: Area under the Standard Normal Curve . . . . . . . . . . 728
Answers A-1
Index I-1
Index of Applications I-10

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