search for books and compare prices
Tables of Contents for Applied Calculus
Chapter/Section Title
Page #
Page Count
A Library Of Functions
1
121
What's a Function?
2
12
Linear Functions
14
11
Economic Applications of Functions
25
11
Exponential Functions
36
15
Power Functions
51
8
Compound Interest and the Number e
59
7
Logarithms
66
6
Exponential Growth and Decay
72
9
New Functions From Old
81
7
Polynomials
88
8
The Periodic Functions
96
8
Fitting Formulas To Data
104
17
Review Problems
113
8
Key Concept: The Derivative
121
68
Average Rate of Change
122
7
Instantaneous Rate of Change: The Derivative
129
15
The Definition of the Derivative
144
5
The Derivative Function
149
9
Interpretations of the Derivative
158
8
The Second Derivative
166
7
Marginal Cost and Revenue
173
16
Review Problems
184
5
Key Concept: The Definite Integral
189
58
How Do We Measure Distance Traveled?
190
10
The Definite Integral
200
8
The Definite Integral As Area
208
11
The Definite Integral as Average Value
219
6
Interpretations of the Definite Integral
225
12
The Fundamental Theorem of Calculus
237
10
Review Problems
243
4
Short-Cuts to Differentiation
247
38
Derivative Formulas for Powers and Polynomials
248
8
Using the Derivative Formulas for Polynomials
256
7
Exponential, Logarithmic, and Periodic Functions
263
8
The Chain Rule
271
5
The Product Rule and Quotient Rules
276
9
Review Problems
282
3
Using the Derivative
285
54
Using the First Derivative
286
10
Using the Second Derivative
296
10
Families of Curves: A Qualitative Study
306
8
Applications To Economics: Optimization
314
13
More Applications to Economics: Elasticity
327
12
Review Problems
332
7
Using The Definite Integral
339
58
The Definite Integral Revisited
340
9
Applications to Life Sciences
349
8
Economic Application - Present and Future Value
357
6
Economic Application - Consumer and Producer Surplus
363
7
Applications to Distribution Functions
370
12
Probability and More on Distributions
382
15
Review Problems
392
5
Differential Equations
397
38
What is a Differential Equation?
398
6
Slope Fields
404
8
Growth and Decay
412
9
Applications and Modeling
421
14
Review Problems
433
2
Functions of Many Variables
435
60
Functions of Many Variables
436
9
A Tour of Three-Dimensional Space
445
5
Graphs of Functions of Two Variables
450
13
Contour Diagrams
463
15
Linear Functions
478
7
The Cobb-Douglas Production Functions
485
10
Review Problems
491
4
Calculus For Functions Of Many Variables
495
50
The Partial Derivative
496
11
Computing Partial Derivatives Algebraically
507
8
Local and Global Extrema
515
9
Unconstrained Optimization
524
7
Constrained Optimization: Lagrange Multipliers
531
14
Review Problems
541
4
APPENDIX
545
10
A Roots and Accuracy
546
9
Index
555