Applied Calculus for the Managerial, Life, and Social Sciences (7 SOL)

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Applied Calculus for the Managerial, Life, and Social Sciences (7 SOL)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 510 p.
  • 言語 ENG,ENG
  • 商品コード 9780495119364
  • DDC分類 511

Table of Contents

    Preliminaries
Precalculus Review I 1 (5)
Precalculus Review II 6 (6)
The Cartesian Coordinate System 12 (5)
Straight Lines 17 (12)
Chapter 1 Review Exercises 24 (5)
Functions, Limits, and the Derivative
Functions and Their Graphs 29 (12)
The Algebra of Functions 41 (5)
Functions and Mathematical Models 46 (11)
Limits 57 (8)
One-Sided Limits and Continuity 65 (7)
The Derivative 72 (17)
Chapter 2 Review Exercises 83 (6)
Differentiation
Basic Rules of Differentiation 89 (8)
The Product and Quotient Rules 97 (10)
The Chain Rule 107(10)
Marginal Functions in Economics 117(6)
Higher-Order Derivatives 123(4)
Implicit Differentiation and Related Rates 127(10)
Differentials 137(12)
Chapter 3 Review Exercises 141(8)
Applications of the Derivative
Applications of the First Derivative 149(12)
Applications of the Second Derivative 161(12)
Curve Sketching 173(20)
Optimization I 193(12)
Optimization II 205(22)
Chapter 4 Review Exercises 212(15)
Exponential and Logarithmic Functions
Exponential Functions 227(5)
Logarithmic Functions 232(5)
Compound Interest 237(4)
Differentiation of Exponential Functions 241(11)
Differentiation of Logarithmic Functions 252(8)
Exponential Functions as Mathematical 260(15)
Models
Chapter 5 Review Exercises 267(8)
Integration
Antiderivatives and the Rules of 275(9)
Integration
Integration by Substitution 284(7)
Area and the Definite Integral 291(3)
The Fundamental Theorem of Calculus 294(4)
Evaluating Definite Integrals 298(6)
Area Between Two Curves 304(8)
Applications of the Definite Integral to 312(3)
Business and Economics
Volumes of Solids of Revolution 315(12)
Chapter 6 Review Exercises 319(8)
Additional Topics in Integration
Integration by Parts 327(5)
Integration Using Tables of Integrals 332(5)
Numerical Integration 337(7)
Improper Integrals 344(11)
Chapter 7 Review Exercises 349(6)
Calculus of Several Variables
Functions of Several Variables 355(3)
Partial Derivatives 358(5)
Maxima and Minima of Functions of Several 363(7)
Variables
The Method of Least Squares 370(8)
Constrained Maxima and Minima and the 378(6)
Method of Lagrange Multipliers
Total Differentials 384(4)
Double Integrals 388(2)
Applications of Double Integrals 390(13)
Chapter 8 Review Exercises 393(10)
Differential Equations
Differential Equations 403(4)
Separation of Variables 407(5)
Applications of Separable Differential 412(3)
Equations
Approximate Solutions of Differential 415(14)
Equations
Chapter 9 Review Exercises 421(8)
Probability and Calculus
Probability Distributions of Random 429(7)
Variables
Expected Value and Standard Deviation 436(4)
Normal Distributions 440(7)
Chapter 10 Review Exercises 444(3)
Taylor Polynomials and Infinite Series
Taylor Polynomials 447(7)
Infinite Sequences 454(3)
Infinite Series 457(5)
Series with Positive Terms 462(6)
Power Series and Taylor Series 468(4)
More on Taylor Series 472(4)
Newton's Method 476(13)
Chapter 11 Review Exercises 481(8)
Trigonometric Functions
Measurement of Angles 489(2)
The Trigonometric Functions 491(3)
Differentiation of Trigonometric Functions 494(7)
Integration of Trigonometric Functions 501
Chapter 12 Review Exercises 507