Student Solutions Manual for Tan’s Applied Calculus

by Tan, Soo Tang

• ISBN13: 9780534955588
• ISBN10: 0534955584
• Edition: 4th
• Format: Paperback
• Copyright: 1999-04-05
• Publisher: Brooks Cole

Summary

In this revision of his best-selling text, Soo Tan builds on the features that have made his texts best-sellers: a problem-solving approach, accurate mathematical development, a concise yet accessible writing style, and a wealth of interesting and appropriate applications. These features are combined with practical pedagogical tools to help students understand and comprehend the material. Tan also now includes innovative use of technology that is optional yet well integrated throughout the book.

Table of Contents

Preliminaries	p. 2
Precalculus Review	p. 4
Precalculus Review II	p. 14
The Cartesian Coordinate System	p. 28
Straight Lines	p. 37
Functions, Limits, and the Derivative	p. 58
Functions and Their Graphs	p. 60
The Algebra of Functions	p. 81
Functions and Mathematical Models	p. 90
Limits	p. 110
One-Sided Limits and Continuity	p. 135
The Derivative	p. 155
Differentiation	p. 182
Basic Rules of Differentiation	p. 184
The Product and Quotient Rules	p. 198
The Chain Rule	p. 211
Marginal Functions in Economics	p. 224
Higher-Order Derivatives	p. 240
Implicit Differentiation and Related Rates	p. 249
Differentials	p. 261
Applications of the Derivative	p. 276
Applications of the First Derivative	p. 278
Applications of the Second Derivative	p. 301
Curve Sketching	p. 321
Optimization	p. 341
Optimization II	p. 357
Exponential and Logarithmic Functions	p. 372
Exponential Functions	p. 374
Logarithmic Functions	p. 383
Compound Interest	p. 391
Differentiation of Exponential Functions	p. 405
Differentiation of Logarithmic Functions	p. 417
Exponential Functions as Mathematical Models	p. 425
Integration	p. 438
Antiderivatives and the Rules of Integration	p. 440
Integration by Substitution	p. 455
Area and the Definite Integral	p. 466
The Fundamental Theorem of Calculus	p. 477
Evaluating Definite Integrals	p. 491
Area Between Two Curves	p. 503
Applications of the Definite Integral to Business and Economics	p. 519
Volumes of Solids of Revolution	p. 535
Additional Topics in Integration	p. 548
Integration by Parts	p. 550
Integration Using Tables of Integrals	p. 557
Numerical Integration	p. 565
Improper Integrals	p. 582
Calculus of Several Variables	p. 596
Functions of Several Variables	p. 598
Partial Derivatives	p. 608
Maxima and Minima of Functions of Several Variables	p. 626
The Method of Least Squares	p. 637
Constrained Maxima and Minima and the Method of Lagrange Multipliers	p. 650
Total Differentials	p. 663
Double Integrals	p. 669
Applications of Double Integrals	p. 677
Differential Equations	p. 690
Differential Equations	p. 692
Separation of Variables	p. 699
Applications of Separable Differential Equations	p. 706
Approximate Solutions of Differential Equations	p. 716
Probability and Calculus	p. 726
Probability Distributions of Random Variables	p. 728
Expected Value and Standard Deviation	p. 739
Normal Distributions	p. 756
Taylor Polynomials and Infinite Series	p. 772
Taylor Polynomials	p. 774
Infinite Sequences	p. 787
Infinite Series	p. 796
Series with Positive Terms	p. 808
Power Series and Taylor Series	p. 819
More on Taylor Series	p. 829
The Newton-Raphson Method	p. 839
Trigonometric Functions	p. 852
Measurement of Angles	p. 854
The Trigonometric Functions	p. 860
Differentiation of Trigonometric Functions	p. 871
Integration of Trigonometric Functions	p. 887
Table	p. 899
The Standard Normal Distribution	p. 900
Answers to Odd-Numbered Exercises	p. 903
Index	p. 945
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