Chapter 1

Functions And Graphs

1.1 Modeling and Equation Solving Quick Review 1.1 p.75
Section 1.1 Exercises p.76
1.2 Functions and Their Profiles Quick Review 1.2 p.97
Section 1.2 Exercises p.98
1.3 Twelve Basic Functions Section 1.3 Exercises p.109
Quick Review 1.3 p.109
1.4 Building Functions from Functions Section 1.4 Exercises p.127
Quick Review 1.4 p.127
1.5 Graphical Transformations Quick Review 1.5 p.139
Section 1.5 Exercises p.139
1.6 Modeling with Functions Section 1.6 Exercises p.152
Quick Review 1.6 p.152
Chapter 1 Review Exercises p.157

Chapter 2

Polynomial, Power, And Rational Functions

2.1 Linear and Quadratic Functions and Modeling Section 2.1 Exercises p.175
Quick Review 2.1 p.175
2.2 Power Functions with Modeling Quick Review 2.2 p.189
Section 2.2 Exercises p.189
2.3 Polynomial Functions of Higher Degree with Modeling Quick Review 2.3 p.202
Section 2.3 Exercises p.202
2.4 Real Zeros of Polynomial Functions Section 2.4 Exercises p.216
Quick Review 2.4 p.216
2.5 Complex Numbers Quick Review 2.5 p.226
Section 2.5 Exercises p.227
2.6 Complex Zeros and the Fundamental Theorem of Algebra Quick Review 2.6 p.234
Section 2.6 Exercises p.234
2.7 Graphs of Rational Functions Quick Review 2.7 p.245
Section 2.7 Exercises p.246
2.8 Solving Equations in One Variable Section 2.8 Exercises p.254
Quick Review 2.8 p.254
2.9 Solving Inequalities in One Variable Quick Review 2.9 p.265
Section 2.9 Exercises p.265
Chapter 2 Review Exercises p.270

Chapter 3

Exponential, Logistic, And Logarithmic Functions

3.1 Exponential and Logistic Functions Quick Review 3.1 p.286
Section 3.1 Exercises p.286
3.2 Exponential and Logistic Modeling Quick Review 3.2 p.296
Section 3.2 Exercises p.296
3.3 Logarithmic Functions and Their Graphs Section 3.3 Exercises p.308
Quick Review 3.3 p.308
3.4 Properties of Logarithmic Functions Quick Review 3.4 p.316
Section 3.4 Exercises p.317
3.5 Equation Solving and Modeling Quick Review 3.5 p.330
Section 3.5 Exercises p.331
3.6 Mathematics of Finance Section 3.6 Exercises p.342
Quick Review 3.6 p.342
Chapter 3 Review Exercises p.346

Chapter 4

Trigonometric Functions

4.1 Angles and Their Measures Section 4.1 Exercises p.358
Quick Review 4.1 p.358
4.2 Trigonometric Functions of Acute Angles Section 4.2 Exercises p.368
Quick Review 4.2 p.368
4.3 Trigonometry Extended: The Circular Functions Quick Review 4.3 p.382
Section 4.3 Exercises p.383
4.4 Graphs of Sine and Cosine: Sinusoids Quick Review 4.4 p.394
Section 4.4 Exercises p.394
4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant Quick Review 4.5 p.402
Section 4.5 Exercises p.403
4.6 Graphs of Composite Trigonometric Functions Section 4.6 Exercises p.413
Quick Review 4.6 p.413
4.7 Inverse Trigonometric Functions Section 4.7 Exercises p.423
Quick Review 4.7 p.423
4.8 Solving Problems with Trigonometry Section 4.8 Exercises p.432
Quick Review 4.8 p.432
Chapter 4 Review Exercises p.439

Chapter 5

Analytic Trigonometry

5.1 Fundamental Identities Section 5.1 Exercises p.451
Quick Review 5.1 p.451
5.2 Proving Trigonometric Identities Quick Review 5.2 p.460
Section 5.2 Exercises p.460
5.3 Sum and Difference Identities Quick Review 5.3 p.468
Section 5.3 Exercises p.468
5.4 Multiple-Angle Identities Quick Review 5.4 p.475
Section 5.4 Exercises p.475
5.5 The Law of Sines Quick Review 5.5 p.484
Section 5.5 Exercises p.484
5.6 The Law of Cosines Quick Review 5.6 p.493
Section 5.6 Exercises p.494
Chapter 5 Review Exercises p.497

Chapter 6

Vectors, Parametric Equations, And Polar Equations

6.1 Vectors in the Plane Section 6.1 Exercises p.511
Quick Review 6.1 p.511
6.2 Dot Product of Vectors Section 6.2 Exercises p.519
Quick Review 6.2 p.519
6.3 Parametric Equations and Motion Quick Review 6.3 p.529
Section 6.3 Exercises p.530
6.4 Polar Coordinates Quick Review 6.4 p.539
Section 6.4 Exercises p.539
6.5 Graphs of Polar Equations Quick Review 6.5 p.547
Section 6.5 Exercises p.548
6.6 De Moivre's Theorem and nth Roots Quick Review 6.6 p.557
Section 6.6 Exercises p.558
Chapter 6 Review Exercises p.561

Chapter 7

Systems And Matrices

7.1 Solving Systems of Two Equations Section 7.1 Exercises p.573
Quick Review 7.1 p.573
7.2 Matrix Algebra Section 7.2 Exercises p.588
Quick Review 7.2 p.588
7.3 Multivariate Linear Systems and Row Operations Quick Review 7.3 p.601
Section 7.3 Exercises p.602
7.4 Partial Functions Section 7.4 Exercises p.612
Quick Review 7.4 p.612
7.5 Systems of Inequalities in Two Variables Section 7.5 Exercises p.621
Quick Review 7.5 p.621
Chapter 7 Review Exercises p.624

Chapter 8

Analytic Geometry In Two And Three Dimensions

8.1 Conic Sections and Parabolas Quick Review 8.1 p.639
Section 8.1 Exercises p.639
8.2 Ellipses Quick Review 8.2 p.651
Section 8.2 Exercises p.652
8.3 Hyperbolas Quick Review 8.3 p.663
Section 8.3 Exercises p.663
8.4 Translation and Rotation of Axes Quick Review 8.4 p.673
Section 8.4 Exercises p.673
8.5 Polar Equations of Conics Quick Review 8.5 p.682
Section 8.5 Exercises p.683
8.6 Three-Dimensional Cartesian Coordinate System Quick Review 8.6 p.694
Section 8.6 Exercises p.695
Chapter 8 Review Exercises p.697

Chapter 9

Discrete Mathematics

9.1 Basic Combinatorics Section 9.1 Exercises p.710
Quick Review 9.1 p.710
9.2 The Binomial Theorem Section 9.2 Exercises p.717
Quick Review 9.2 p.717
9.3 Probability Quick Review 9.3 p.729
Section 9.3 Exercises p.729
9.4 Sequences and Series Section 9.4 Exercises p.746
Quick Review 9.4 p.746
9.5 Mathematical Induction Quick Review 9.5 p.755
Section 9.5 Exercises p.755
9.6 Statistics and Data (Graphical) Quick Review 9.6 p.767
Section 9.6 Exercises p.768
9.7 Statistics and Data (Algebraic) Quick Review 9.7 p.782
Section 9.7 Exercises p.783
Chapter 9 Review Exercises p.788

Chapter 10

An Introduction To Calculus: Limits, Derivatives, And ...

10.1 Limits and Motion: The Tangent Problem Section 10.1 Exercises p.803
Quick Review 10.1 p.803
10.2 Limits and Motion: The Area Problem Section 10.2 Exercises p.812
Quick Review 10.2 p.812
10.3 More on Limits Quick Review 10.3 p.825
Section 10.3 Exercises p.826
10.4 Numerical Derivatives and Integrals Quick Review 10.4 p.835
Section 10.4 Exercises p.836
Chapter 10 Review Exercises p.840

Chapter P


P.1 Real Numbers Quick Review P.1 p.10
Section P.1 Exercises p.11
P.2 Cartesian Coordinate System Section P.2 Exercises p.19
Quick Review P.2 p.19
P.3 Linear Equations and Inequalities Section P.3 Exercises p.28
Quick Review P.3 p.28
P.4 Lines in the Plane Section P.4 Exercises p.40
Quick Review P.4 p.40
P.5 Solving Equations Graphically, Numerically, and Algebraically Quick Review P.5 p.50
Section P.5 Exercises p.50
P.6 Solving Inequalities Algebraically and Graphically Quick Review P.6 p.58
Section P.6 Exercises p.59
Chapter P Review Exercises p.60
Precalculus: Graphical, Numerical, Algebraic (Demana et al), 6th Edition



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