search for books and compare prices
Tables of Contents for Mathematics With Applications
Chapter/Section Title
Page #
Page Count
Preface
ix
To the Student
xv
Algebra and Equations
1
65
The Real Numbers
1
10
Polynomials
11
6
Factoring
17
5
Rational Expressions
22
7
Exponents and Radicals
29
10
First-Degree Equations
39
11
Quadratic Equations
50
16
Chapter 1 Summary
60
1
Chapter 1 Review Exercises
61
3
Case 1 Consumers Often Defy Common Sense
64
2
Graphs, Lines, and Inequalities
66
54
Graphs
66
10
Equations of Lines
76
13
Linear Models
89
11
Linear Inequalities
100
8
Polynomial and Rational Inequalities
108
12
Chapter 2 Summary
114
1
Chapter 2 Review Exercises
115
3
Case 2 Using Extrapolation to Predict Life Expectancy
118
2
Functions and Graphs
120
72
Functions
120
8
Graphs of Functions
128
13
Applications of Linear Functions
141
11
Quadratic Functions
152
7
Applications of Quadratic Functions
159
9
Polynomial Functions
168
9
Rational Functions
177
15
Chapter 3 Summary
187
1
Chapter 3 Review Exercises
188
4
Exponential and Logarithmic Functions
192
39
Exponential Functions
192
7
Applications of Exponential Functions
199
8
Logarithmic Functions
207
8
Logarithmic and Exponential Equations
215
16
Chapter 4 Summary
225
1
Chapter 4 Review Exercises
226
3
Case 3 Characteristics of the Monkeyface Prickleback
229
2
Mathematics of Finance
231
44
Simple Interest and Discount
231
7
Compound Interest
238
11
Future Value of an Annuity and Sinking Funds
249
10
Present Value of an Annuity and Amortization
259
16
Chapter 5 Summary
268
1
Chapter 5 Review Exercises
269
4
Case 4 Time, Money, and Polynomials
273
2
Systems of Linear Equations and Matrices
275
68
Systems of Linear Equations
275
16
The Gauss-Jordan Method
291
11
Basic Matrix Operations
302
8
Matrix Products and Inverses
310
14
Applications of Matrices
324
19
Chapter 6 Summary
336
1
Chapter 6 Review Exercises
337
4
Case 5 Matrix Operations and Airline Route Maps
341
2
Linear Programming
343
72
Graphing Linear Inequalities in Two Variables
343
8
Linear Programming: The Graphical Method
351
7
Applications of Linear Programming
358
8
The Simplex Method: Maximization
366
14
Maximization Applications
380
7
The Simplex Method: Duality and Minimization
387
9
The Simplex Method: Nonstandard Problems
396
19
Chapter 7 Summary
409
1
Chapter 7 Review Exercises
410
3
Case 6 Cooking with Linear Programming
413
2
Sets and Probability
415
66
Sets
415
9
Applications of Venn Diagrams
424
9
Introduction to Probability
433
8
Basic Concepts of Probability
441
10
Conditional Probability and Independent Events
451
14
Bayes' Formula
465
16
Chapter 8 Summary
472
2
Chapter 8 Review Exercises
474
5
Case 7 Medical Diagnosis
479
2
Counting, Probability Distributions, and Further Topics in Probability
481
64
Permutations and Combinations
481
14
Applications of Counting
495
8
Binomial Probability
503
7
Probability Distributions and Expected Value
510
12
Markov Chains
522
12
Decision Making
534
11
Chapter 9 Summary
538
1
Chapter 9 Review Exercises
539
3
Case 8 Optimal Inventory for a Service Truck
542
3
Introduction to Statistics
545
52
Frequency Distributions and Measures of Central Tendency
545
15
Measures of Variation
560
10
Normal Distributions
570
13
Normal Approximation to the Binomial Distribution
583
14
Chapter 10 Summary
590
1
Chapter 10 Review Exercises
591
3
Case 9 Statistics in the Law---The Castaneda Decision
594
3
Differential Calculus
597
98
Limits
597
12
Rates of Change
609
12
Tangent Lines and Derivatives
621
16
Techniques for Finding Derivatives
637
13
Derivatives of Products and Quotients
650
8
The Chain Rule
658
12
Derivatives of Exponential and Logarithmic Functions
670
9
Continuity and Differentiability
679
16
Chapter 11 Summary
687
2
Chapter 11 Review Exercises
689
3
Case 10 Price Elasticity of Demand
692
3
Applications of the Derivative
695
56
Derivatives and Graphs
695
16
The Second Derivative
711
13
Optimization Applications
724
14
Curve Sketching
738
13
Chapter 12 Summary
746
1
Chapter 12 Review Exercises
747
2
Case 11 A Total Cost Model for a Training Program
749
2
Integral Calculus
751
70
Antiderivatives
751
10
Integration by Substitution
761
9
Area and the Definite Integral
770
12
The Fundamental Theorem of Calculus
782
11
Applications of Integrals
793
12
Tables of Integrals (Optional)
805
2
Differential Equations
807
14
Chapter 13 Summary
815
1
Chapter 13 Review Exercises
816
3
Case 12 Bounded Population Growth
819
2
Multivariate Calculus
821
34
Functions of Several Variables
821
12
Partial Derivatives
833
9
Extrema of Functions of Several Variables
842
13
Chapter 14 Summary
851
1
Chapter 14 Review Exercises
852
1
Case 13 Global Warming and the Method of Least Squares
853
2
Appendix A Graphing Calculators
855
2
Appendix B Tables
857
Table 1: Formulas from Geometry
857
1
Table 2: Areas Under the Normal Curve
858
2
Table 3: Integrals
860
Answers to Selected Exercises
1
1
Index of Applications
1
8
Index
9