Advanced Mathematics Richard G. Brown Teacher Edition

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Advanced Mathematics Richard G. Brown Teacher Edition 2016

Chapter 1

Linear And Quadratic Functions

1-1	Points and Lines	Class Exercises	p.4
Written Exercises	p.5
1-2	Slopes of Lines	Class Exercises	p.11
Written Exercises	p.11
1-3	Finding Equations of Lines	Class Exercises	p.16
Written Exercises	p.16
1-4	Linear Functions and Models	Class Exercises	p.21
Written Exercises	p.22
1-5	The Complex Numbers	Class Exercises	p.28
Written Exercises	p.28
1-6	Solving Quadratic Equtions	Class Exercises	p.34
Written Exercises	p.35
1-7	Quadratic Functions and Their Graphs	Class Exercises	p.40
Written Exercises	p.41
1-8	Quadratic Models	Class Exercises	p.45
Written Exercises	p.45
Chapter Test	p.50

Chapter 2

Advanced Mathematics Precalculus with Discrete Mathematics and Data Analysis Teacher's Edition 1 editions By Richard G. Brown Advanced Mathematics Precalculus with Discrete Mathematics and Data An.

Polynomial Functions

2-1	Polynomials	Class Exercises	p.55
Written Exercises	p.56
2-2	Synthetic Division; The Remainder and Factor Theorems	Class Exercises	p.60
Written Exercises	p.61
2-3	Graphing Polynomial Functions	Class Exercises	p.65
Written Exercises	p.66
2-4	Finding Maximums and Minimums of Polynomial Functions	Class Exercises	p.70
Written Exercises	p.71
Cubic Functions	p.72
2-5	Using Technology to Approximate Roots of Polynomial Equations	Class Exercises	p.77
Written Exercises	p.78
2-6	Solving Polynomial Equations by Factoring	Class Exercises	p.83
Written Exercises	p.83
2-7	General Results for Polynomial Equations	Class Exercises	p.89
Written Exercises	p.89
Chapter Test	p.93

Chapter 3

Inequalities

3-1	Linear Inequalities; Absolute Value	Class Exercises	p.98
Written Exercises	p.98
3-2	Polynomial Inequalities in One Variable	Class Exercises	p.103
Written Exercises	p.103
3-3	Polynomial Inequalities in Two Variables	Class Exercises	p.106
Written Exercises	p.106
3-4	Linear Programming	Written Exercises	p.112
Chapter Test	p.115
Cummulative Review	p.116

Chapter 4

Functions

4-1	Functions	Class Exercises	p.122
Written Exercises	p.122
4-2	Operations on Functions	Class Exercises	p.127
Written Exercises	p.128
4-3	Reflecting Graphs; Symmetry	Class Exercises	p.135
Written Exercises	p.136
4-4	Periodic Functions; Stretching and Trnaslating Graphs	Class Exercises	p.142
Written Exercises	p.143
4-5	Inverse Functions	Class Exercises	p.148
Written Exercises	p.149
4-6	Functions of Two Variables	Class Exercises	p.153
Written Exercises	p.154
4-7	Forming Functions from Verbal Descritions	Class Exercises	p.160
Written Exercises	p.161
Chapter Test	p.166

Chapter 5

Exponents And Logarithms

5-1	Growth and Decay: Integral Exponents	Class Exercises	p.172
Written Exercises	p.173
5-2	Growth and Decay: Rational Exponents	Class Exercises	p.177
Written Exercises	p.178
5-3	Exponential Functions	Class Exercises	p.182
Written Exercises	p.183
5-4	The Number e and the Function e^x	Class Exercises	p.188
Written Exercises	p.189
5-5	Logarithmic Functions	Class Exercises	p.194
Written Exercises	p.194
5-6	Laws of Logarithms	Class Exercises	p.199
Written Exercises	p.200
5-7	Exponential Equations; Changing Bases	Class Exercises	p.205
Written Exercises	p.205
Chapter Test	p.209

Advanced Mathematics Richard G. Brown Teacher Edition 2016

Chapter 6

Analytic Geometry

6-1	Coordinate Proofs	Class Exercises	p.217
Written Exercises	p.218
6-2	Equations of Circles	Class Exercises	p.222
Written Exercises	p.222
6-3	Ellipses	Class Exercises	p.228
Written Exercises	p.228
6-4	Hyperbolas	Class Exercises	p.234
Written Exercises	p.235
6-5	Parabolas	Class Exercises	p.239
Written Exercises	p.240
6-6	Systems of Second-Degree Equations	Class Exercises	p.244
Written Exercises	p.244
6-7	A New Look at Conic Sections	Class Exercises	p.249
Written Exercises	p.250
Chapter Test	p.253
Cummulative Review	p.254

Chapter 7

Trigonometric Functions

7-1	Measurement of Angles	Class Exercises	p.260
Written Exercises	p.261
7-2	Sectors of Circles	Class Exercises	p.264
Written Exercises	p.264
7-3	The Sine and Cosine Functions	Class Exercises	p.271
Written Exercises	p.272
7-4	Evaluating and Graphing Sine and Cosine	Class Exercises	p.278
Written Exercises	p.279
7-5	The Other Trigonometric Functions	Class Exercises	p.285
Written Exercises	p.285
7-6	The Inverse Trigonometric Functions	Class Exercises	p.289
Written Exercises	p.289
Chapter Test	p.293

Chapter 8

Advanced Mathematics Richard G. Brown Teacher Edition

Trigonometric Equations And Applications

8-1	Simple Trigonometric Equations	Class Exercises	p.299
Written Exercises	p.299
8-2	Sine and Cosine Curves	Class Exercises	p.304
Written Exercises	p.305
8-3	Modeling Periodic Behavior	Class Exercises	p.312
Written Exercises	p.313
8-4	Relationships Among the Functions	Class Exercises	p.320
Written Exercises	p.321
8-5	Solving More Difficult Trigonometric Equations	Written Exercises	p.326
Chapter Test	p.328

Chapter 9

Triangle Trigonometry

9-1	Solving Right Triangles	Class Exercises	p.333
Written Exercises	p.334
9-2	The Area of a Triangle	Class Exercises	p.341
Written Exercises	p.342
9-3	The Law of Sines	Class Exercises	p.346
Written Exercises	p.347
9-4	The Law of Cosines	Class Exercises	p.352
Written Exercises	p.352
Mixed Trigonometry Exercises	p.355
9-5	Applications of Trigonometry to Navigation and Surveying	Class Exercises	p.361
Written Exercises	p.362
Chapter Test	p.365

Chapter 10

Trigonometric Addition Formulas

10-1	Formulas for cos and sin	Class Exercises	p.372
Written Exercises	p.373
10-2	Formulas for tan	Class Exercises	p.377
Written Exercises	p.377
10-3	Double-Angle and Half-Angle Formulas	Class Exercises	p.383
Written Exercises	p.383
10-4	Solving Trigonometric Equations	Class Exercises	p.389
Written Exercises	p.389
Chapter Test	p.393

Chapter 11

Polar Coordinates And Complex Numbers

11-1	Polar Coordinates and Graphs	Class Exercises	p.399
Written Exercises	p.400
11-2	Geometric Representation of Complex Numbers	Class Exercises	p.405
Written Exercises	p.406
11-3	Power of Complex Numbers	Class Exercises	p.409
Written Exercises	p.410
11-4	Roots of Complex Numbers	Written Exercises	p.413
Chapter Test	p.415
Cummulative Review	p.416

Chapter 12

Vectors And Determinants

12-1	Geometric Representation of Vectors	Class Exercises	p.422
Written Exercises	p.423
12-2	Algebraic Representation of Vectors	Class Exercises	p.428
Written Exercises	p.429
12-3	Vector and Parametric Equations: Motion in a Plane	Class Exercises	p.435
Written Exercises	p.435
12-4	Parallel and Perpendicular Vectors; Dot Product	Class Exercises	p.443
Written Exercises	p.444
12-5	Vectors in Three Dimensions	Class Exercises	p.449
Written Exercises	p.450
12-6	Vectors and Planes	Class Exercises	p.454
Written Exercises	p.455
12-7	Determinants	Class Exercises	p.460
Written Exercises	p.460
12-8	Applications of Determinants	Class Exercises	p.463
Written Exercises	p.464
12-9	Determinnats and Vectors in Three Dimensions	Class Exercises	p.466
Written Exercises	p.467
Chapter Test	p.469

Chapter 13

Sequences And Series

13-1	Arithmetic and Geometric Sequences	Class Exercises	p.476
Written Exercises	p.476
13-2	Recursive Definitions	Class Exercises	p.481
Written Exercises	p.481
13-3	Arithmetic and Geometric Series and Their Sums	Class Exercises	p.488
Written Exercises	p.489
13-4	Limits of Infinite Sequences	Class Exercises	p.496
Written Exercises	p.496
13-5	Sums of Infinite Series	Class Exercises	p.502
Written Exercises	p.502
13-6	Sigma Notation	Class Exercises	p.508
Written Exercises	p.508
13-7	Mathematical Induction	Written Exercises	p.513
Chapter Test	p.515

Chapter 14

Matrices

14-1	Matrix Addition and Scalar Multiplication	Class Exercises	p.520
Written Exercises	p.520
14-2	Matrix Multiplication	Class Exercises	p.525
Written Exercises	p.526
14-3	Applying Matrices to Linear Systems	Class Exercises	p.534
Written Exercises	p.534
14-4	Communication Matrices	Class Exercises	p.540
Written Exercises	p.540
14-5	Transition Matrices	Class Exercises	p.545
Written Exercises	p.546
14-6	Transformation Matrices	Class Exercises	p.556
Written Exercises	p.557
Chapter Test	p.560
Cummulative Review	p.562

Chapter 15

Combinatorics

15-1	Venn Diagrams	Class Exercises	p.568
Written Exercises	p.568
15-2	The Multiplication, Addition, and Complement Principles	Class Exercises	p.574
Written Exercises	p.575
15-3	Permutations and Combinations	Class Exercises	p.580
Written Exercises	p.580
15-4	Permutations with Repetition; Circular Permutations	Class Exercises	p.585
Written Exercises	p.585
Mixed Combinatorics Exercises	p.587
15-5	The Binomial Theorem; Pascal's Theorem	Class Exercises	p.592
Written Exercises	p.592
Chapter Test	p.596

Chapter 16

Probability

16-1	Introduction to Probability	Class Exercises	p.602
Written Exercises	p.603
16-2	Probability of Events Occuring Together	Class Exercises	p.609
Written Exercises	p.609
16-3	The Binomial Probability Theorem	Class Exercises	p.615
Written Exercises	p.616
16-4	Probability Problems Solved with Combinations	Class Exercises	p.620
Written Exercises	p.621
16-5	Working with Conditional Probability	Class Exercises	p.625
Written Exercises	p.626
16-6	Expected Value	Class Exercises	p.632
Written Exercises	p.633
Chapter Test	p.636

Chapter 17

Statistics

17-1	Tables, Graphs, and Averages	Class Exercises	p.643
Written Exercises	p.643
17-2	Box-and-Whisker Plots	Class Exercises	p.651
Written Exercises	p.651
17-3	Variability	Class Exercises	p.657
Written Exercises	p.658
17-4	The Normal Distribution	Class Exercises	p.666
Written Exercises	p.667
17-5	Sampling	Class Exercises	p.672
Written Exercises	p.673
17-6	Confidence Intervals for Surveys and Polls	Class Exercises	p.677
Written Exercises	p.678
Chapter Test	p.681

Chapter 18

Curve Fitting And Models

18-1	Introduction to Curve Fitting; the Least-Squares Line	Class Exercises	p.687
Written Exercises	p.688
18-2	Fitting Exponential Curves	Class Exercises	p.694
Written Exercises	p.694
18-3	Fitting Power Curves	Class Exercises	p.701
Written Exercises	p.701
18-4	Choosing the Best Model	Mixed Exercises	p.705
Chapter Test	p.710
Cummulative Review	p.711

Chapter 19

Limits, Series, And Iterated Functions

19-1	Limits and Functions	Class Exercises	p.723
Written Exercises	p.724
19-2	Graphs of Rational Functions	Class Exercises	p.728
Written Exercises	p.728
19-3	Using Technology to Approximate the Area Under a Curve	Class Exercises	p.731
Written Exercises	p.731
19-4	Power Series	Class Exercises	p.735
Written Exercises	p.735
19-5	Analyzing Orbits	Class Exercises	p.741
Written Exercises	p.741
19-6	Applications of Iterated Functions	Class Exercises	p.746
Written Exercises	p.746
Chapter Test	p.749

Chapter 20

An Introduction To Calculus

20-1	The Slope of a Curve	Class Exercises	p.761
Written Exercises	p.762
20-2	Using Derivatives in Curve Sketching	Class Exercises	p.767
Written Exercises	p.768
20-3	Extreme Value Problems	Class Exercises	p.772
Written Exercises	p.772
20-4	Velocity and Acceleration	Class Exercises	p.778
Written Exercises	p.778
Chapter Test	p.782
Cummulative Review	p.783