Applied Calculus: Brief

by Hegarty, John C.

• ISBN13: 9780471613329
• ISBN10: 0471613320
• Edition: 1st
• Format: Hardcover
• Copyright: 1990-01-16
• Publisher: Wiley

Summary

Suitable for a one-semester course covering the applications of calculus to business, economics and social science, this edition includes the same material as the first eight chapters of the two-semester text. With clear exposition, it contains excellent problem sets, illustrations, examples and review problems at the end of every chapter.

Author Biography

John C. Hegarty is the author of Applied Calculus: Brief, published by Wiley.

Table of Contents

Preliminaries	1	(56)
Functions and Their Graphs	2	(9)
Linear Functions	11	(14)
Applications of Linear Functions	25	(9)
Quadratic Functions and Applications	34	(10)
Other Types of Functions	44	(13)
Review Problems	53	(4)
The Derivative	57	(50)
Limits	58	(15)
Continuity	73	(9)
Average Rate of Change	82	(9)
Derivative of a Function	91	(16)
Review Problems	103	(4)
Differentiation and Applications	107	(56)
Power Rule; Sum Rule	108	(10)
Product and Quotient Rules	118	(11)
General Power Rule; Chain Rule	129	(8)
Marginal Analysis	137	(7)
Higher-Order Derivatives	144	(3)
Implicit Differentiation; Related Rates	147	(16)
Review Problems	159	(4)
Optimization and Curve Sketching	163	(68)
Maxima and Minima	164	(16)
Optimization	180	(14)
Second-Derivative Test; Inflection Points	194	(10)
Curve Sketching	204	(12)
The Differential	216	(15)
Review Problems	226	(5)
Exponential and Logarithmic Functions	231	(66)
Exponential Functions	232	(14)
Logarithmic Functions	246	(11)
Derivatives of Exponential Functions	257	(8)
Derivatives of Logarithmic Functions	265	(9)
Applications of Exponential and Logarithmic Functions	274	(9)
Newton's Method	283	(14)
Review Problems	294	(3)
Integration	297	(68)
Antiderivatives	298	(13)
Area Under a Curve	311	(12)
Definite Integral	323	(17)
Area Between Two Curves	340	(10)
Additional Applications of the Definite Integral	350	(15)
Review Problems	360	(5)
Techniques of Integration	365	(46)
Integration By Substitution	366	(7)
Integration By Parts	373	(7)
Tables of Integrals	380	(4)
Numerical Integration	384	(10)
Improper Integrals	394	(7)
L'Hopital's Rule	401	(10)
Review Problems	407	(4)
Multivariable Calculus	411	(70)
Functions of Two Variables	412	(13)
Partial Derivatives	425	(9)
Maxima and Minima	434	(8)
Lagrange Multipliers	442	(8)
Least Squares Method	450	(10)
Double Integrals	460	(6)
More Double Integrals	466	(15)
Review Problems	477	(4)
TABLES	481	(6)
A Values of (1 + i)n	482	(1)
B ex and e-x	483	(1)
C Natural Logarithms	484	(1)
D Table of Integrals	485	(2)
Answers to Odd-Numbered Problems	487	(36)
Index	523