search for books and compare prices
Tables of Contents for Precalculus With Limits
Chapter/Section Title
Page #
Page Count
Preface
ix
 
Equations and Inequalities
Linear Equations
2
7
Linear Applications and Modeling
9
12
Complex Numbers
21
7
Quadratic Equations
28
10
Quadratic Applications and Modeling
38
9
Other Types of Equations
47
9
Inequalities
56
10
Absolute Value Equations and Inequalities
66
17
Summary
73
1
Review Exercises
74
4
Test
78
2
Internet Project Protecting Our Environment
80
3
Relations, Functions, and Graphs
Relations and the Rectangular Coordinate System; Circles
83
15
Functions
98
15
Linear Functions
113
13
Equations of Lines; Curve Fitting
126
12
Graphs of Relations and Functions
138
13
Graphing Techniques; Transformations
151
16
Operations and Composition
167
21
Summary
176
3
Review Exercises
179
4
Test
183
3
Internet Project Modeling the Drift of Whittier, California
186
2
Polynomial and Rational Functions
Quadratic Functions; Curve Fitting
188
14
Synthetic Division
202
7
Zeros of Polynomial Functions
209
11
Polynomial Functions: Graphs, Applications, and Models
220
14
Rational Functions: Graphs, Applications, and Models
234
14
Variation
248
16
Summary
255
1
Review Exercises
256
4
Test
260
2
Internet Project Polynomial Modeling of Social Security Numbers
262
2
Exponential and Logarithmic Functions
Inverse Functions
264
12
Exponential Functions
276
16
Logarithmic Functions
292
10
Evaluating Logarithms and the Change-of-Base Theorem
302
11
Exponential and Logarithmic Equations
313
10
Applications and Models of Exponential Growth and Decay
323
19
Summary
333
1
Review Exercises
334
4
Test
338
2
Internet Project Modeling Growth of Internet Hosts
340
2
Trigonometric Functions
Angles and Their Measures
342
14
The Unit Circle and Circular Functions
356
13
Right Triangles and Trigonometric Functions
369
15
Finding Trigonometric Function Values
384
13
Solving Right Triangles
397
12
Graphs of the Sine and Cosine Functions
409
17
Harmonic Motion
426
3
Graphs of the Other Circular Functions
429
25
Summary
441
4
Review Exercises
445
5
Test
450
1
Internet Project Modeling Sunset Times
451
3
Trigonometric Identities and Equations
Fundamental Identities
454
7
Verifying Trigonometric Identities
461
8
Sum and Difference Identities
469
11
Double-Angle Identities and Half-Angle Identities
480
13
Inverse Trigonometric Functions
493
13
Trigonometric Equations
506
13
Equations Involving Inverse Trigonometric Functions
519
17
Summary
525
3
Review Exercises
528
4
Test
532
1
Internet Project Modeling a Damped Pendulum
533
3
Applications of Trigonometry
Oblique Triangles and the Law of Sines
536
14
The Law of Cosines
550
10
Vectors and the Dot Product
560
10
Applications of Vectors
570
6
Vectors in Space
576
5
Products and Quotients of Complex Numbers
581
11
De Moivre's Theorem; Powers and Roots of Complex Numbers
592
6
Polar Equations and Graphs
598
11
Parametric Equations, Graphs, and Applications
609
21
Summary
618
3
Review Exercises
621
5
Test
626
1
Internet Project The Art of Undersampling
627
3
Systems of Equations and Inequalities
Linear Systems of Equations
630
17
Matrix Solution of Linear Systems
647
10
Determinant Solution of Linear Systems
657
12
Partial Fractions
669
6
Nonlinear Systems of Equations
675
10
Systems of Inequalities and Linear Programming
685
11
Properties of Matrices
696
14
Matrix Inverses
710
23
Summary
722
2
Review Exercises
724
4
Test
728
1
Internet Project A Topic from Numerical Analysis
729
4
Analytic Geometry
Parabolas
733
9
Ellipses
742
11
Hyperbolas
753
10
Summary of the Conic Sections; Rectangular and Polar Forms
763
13
Rotation of Axes
776
10
Summary
780
1
Review Exercises
781
2
Test
783
1
Internet Project Modeling the Path of a Bouncing Ball
784
2
Further Topics in Algebra
Sequences and Series
786
10
Arithmetic Sequences and Series
796
8
Geometric Sequences and Series
804
9
The Binomial Theorem
813
7
Mathematical Induction
820
7
Counting Theory
827
10
Basics of Probability
837
17
Summary
847
2
Review Exercises
849
2
Test
851
1
Internet Project Simulating Experiements Using Random Number Generators
852
2
An Introduction to Calculus: Limits and Derivatives
An Introduction to Limits
854
10
Techniques for Calculating Limits
864
6
One-Sided Limits; Limits Involving Infinity
870
9
Tangent Lines and Derivatives
879
14
Summary
887
2
Review Exercises
889
2
Test
891
1
Internet Project Derivatives and Optimization
892
1
R Reference: Algebraic Expressions
R.1 Review of Exponents and Polynomials
893
6
R.2 Review of Factoring
899
7
R.3 Review of Rational Expressions
906
8
R.4 Review of Negative and Rational Exponents
914
7
R.5 Review of Radical Expressions
921
 
Answers to Selected Exercises
A-1
 
Index
I-1
 
Index of Applications
I-11