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Tables of Contents for Student's Solutions Manual to Accompany Finite Mathematics and Calculus With Applications
Chapter/Section Title
Page #
Page Count
To The Student
xiii

Algebra Reference
Polynomials
1
1
Factoring
2
1
Rational Expressions
3
4
Equations
7
4
Inequalities
11
9
Exponents
20
3
23
4
Linear Functions
Slope and Equations of a Line
27
4
Linear Functions
31
3
Linear Mathematical Models
34
3
Constructing a Mathematical Model
37
12
Review Exercises
41
3
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants
44
1
Extended Application: Depreciation
44
2
Test
46
2
48
1
Systems of Linear Equations and Matrices
Solutions of Linear Systems by the Echelon Method
49
5
Solutions of Linear Systems by the Gauss-Jordan Method
54
10
64
2
Multiplication of Matrices
66
3
Matrix Inverses
69
7
Input-Output Models
76
13
Review Exercises
79
6
Extended Application: Contagion
85
1
Test
86
2
88
1
Linear Programming: The Graphical Method
Graphing Linear Inequalities
89
3
Solving Linear Programming Problems Graphically
92
3
Applications of Linear Programming
95
9
Review Exercises
99
3
Test
102
1
103
1
Linear Programming: The Simplex Method
Slack Variables and the Pivot
104
3
Maximization Problems
107
7
Minimization Problems; Duality
114
6
Nonstandard Problems
120
20
Review Exercises
129
5
Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix
134
1
Test
135
3
138
2
Mathematics of Finance
Simple and Compound Interest
140
2
Future Value of an Annuity
142
4
Present Value of an Annuity; Amortization
146
12
Review Exercises
150
4
Extended Application: Time, Money, and Polynomials
154
2
Test
156
1
157
1
Sets and Probability
Sets
158
2
Applications of Venn Diagrams
160
6
Introduction to Probability
166
2
Basic Concepts of Probability
168
4
Conditional Probability; Independent Events
172
3
Bayes' Theorem
175
12
Review Exercises
178
4
Extended Application: Medical Diagnosis
182
2
Test
184
2
186
1
Counting Principles, Further Probability Topics
The Multiplication Principle; Permutations
187
2
Combinations
189
3
Probability Applications of Counting Principles
192
3
Binomial Probability
195
3
Probability Distributions; Expected Value
198
12
Review Exercises
202
4
Extended Application: Optimal Inventory for a Service Truck
206
1
Test
207
2
209
1
Statistics
Frequency Distributions; Measures of Central Tendency
210
2
Measures of Variation
212
3
The Normal Distribution
215
3
Normal Approximation to the Binomial Distribution
218
10
Review Exercises
221
4
Test
225
2
227
1
Markov Chains
Basic Properties of Markov Chains
228
4
Regular Markov Chains
232
4
Absorbing Markov Chains
236
12
Review Exercises
239
4
Extended Application: Cavities and Restoration
243
2
Test
245
2
247
1
Game Theory
Strictly Determined Games
248
2
Mixed Strategies
250
3
Game Theory and Linear Programming
253
18
Review Exercises
261
6
Extended Application: Decision Making in the Military
267
1
Test
268
2
270
1
Nonlinear Functions
Properties of Functions
271
4
275
5
Translations and Reflections of Functions
280
2
Polynomial and Rational Functions
282
5
Exponential Functions
287
3
Logarithmic Functions
290
5
Applications: Growth and Decay; Mathematics of Finance
295
17
Review Exercises
299
7
Extended Application: Characteristics of the Monkeyface Prickleback
306
1
Test
307
3
310
2
The Derivative
Limits
312
4
Continuity
316
2
Rates of Change
318
5
Definition of the Derivative
323
5
Graphical Differentiation
328
10
Review Exercises
329
5
Test
334
3
337
1
Calculating the Derivative
Techniques for Finding Derivatives
338
3
Derivatives of Products and Quotients
341
3
The Chain Rule
344
4
Derivatives of Exponential Functions
348
2
Derivatives of Logarithmic Functions
350
10
Review Exercises
353
4
Test
357
2
359
1
Graphs And the Derivative
Increasing and Decreasing Functions
360
3
Relative Extrema
363
5
Higher Derivatives, Concavity, and the Second Derivative Test
368
6
Curve Sketching
374
16
Review Exercises
381
5
Test
386
2
388
2
Applications of the Derivative
Absolute Extrema
390
3
Applications of Extrema
393
7
Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
400
2
Implicit Differentiation
402
4
Related Rates
406
2
Differentials: Linear Approximation
408
11
Review Exercises
410
4
Extended Application: A Total Cost Model for a Training Program
414
1
Extended Application: The Effect of Oil Price on the Optimal Speed of Ships
415
1
Test
416
2
418
1
Integration
Antiderivatives
419
4
Substitution
423
3
Area and the Definite Integral
426
5
The Fundamental Theorem of Calculus
431
6
The Area Between Two Curves
437
6
Numerical Integration
443
16
Review Exercises
449
5
Extended Application: Estimating Depletion Dates for Minerals
454
1
Test
455
3
458
1
Further Techniques and Applications of Integration
Integration by Parts; Tables of Integrals
459
4
Volume and Average Value
463
3
Continuous Money Flow
466
3
Improper Integrals
469
4
Solutions of Elementary and Separable Differential Equations
473
18
Review Exercises
480
6
Extended Application: How Much Does a Warranty Cost?
486
1
Test
487
3
490
1
Multivariable Calculus
Functions of Several Variables
491
2
Partial Derivatives
493
5
Maxima and Minima
498
5
Lagrange Multipliers
503
5
Total Differentials and Approximations
508
2
Double Integrals
510
19
Review Exercises
517
6
Extended Application: Lagrange Multipliers for a Predator
523
3
Test
526
2
528
1
Probability And Calculus
Continuous Probability Models
529
3
Expected Value and Variance of Continuous Random Variables
532
4
Special Probability Density Functions
536
10
Review Exercises
539
3
Extended Application: A Crop-Planting Model
542
2
Test
544
2