Recent Changes

Welcome to Your New Wiki!
This really is your wiki page! I will be monitoring, offering suggestions, and noting who is participating, but you are the ones who will be adding the content to the page.
Two students will be assigned as monitors for each topic that we cover. You will be given a page for your topic. It is your responsibility to use the course content to summarize your topic. Students may post questions or suggestions which you will be expected to address. You may use any means at your disposal to satisfactorily answer their questions. These will be your test and exam reviews; therefore, concepts must be carefully and completely explained. Make sure you give good examples for each concept.

6-9 Cumulative Review, Chapters 1–6 286
15 Polynomial and Rational Functions, Limits, and Derivatives 667
Polynomial Functions 669
15-266915-2 Graphs and
15-3 Fitting Polynomial Functions to Data 680
15-4 Rational Functions: Discontinuities, Limits, and Partial Fractions 687

3-1 Sinusoids: Amplitude, Period, and Cycles 95
3-2 General Sinusoidal Graphs 96
and Cosecant
Functions Functions 105
3-4 Radian Measure of Angles 110
3-5 Circular Functions 117
3-8 Rotary Motion 138
3-9 Chapter Review and Test 148
4
TrigonometricTrigonometric Function Properties,
4-1 Introduction to the Pythagorean Property 157
4-2 Pythagorean, Reciprocal, and Quotient Properties 158
6-8 Chapter Review and Test 280
6-9 Cumulative Review, Chapters 1–6 286
15 Polynomial and Rational Functions, Limits, and Derivatives 667
15-1 Review of Polynomial Functions 669
15-2 Graphs and Zeros of Polynomial Functions 670
15-3 Fitting Polynomial Functions to Data 680
15-4 Rational Functions: Discontinuities, Limits, and Partial Fractions 687
15-5 Instantaneous Rate of Change of a Function: The Derivative 694
15-6 Chapter Review and Test 702
15-7 Cumulative Review, Chapters 10–15 707
7 Properties of Elementary Functions 291
7-1 Shapes of Function Graphs 293
7-7 Logistic Functions for Restrained Growth 336
7-8 Chapter Review and Test 343
14 Sequences and Series 637
14-1 Introduction to Sequences and Series 639
14-2 Arithmetic, Geometric, and Other Sequences 640
14-3 Series and Partial Sums 648
14-4 Chapter Review and Test 662
13 Polar Coordinates, Complex Numbers, and Moving Objects 597
13-1 Introduction to Polar Coordinates 599
13-2 Polar Equations of Conics and Other Curves 600
13-3 Intersections of Polar Curves 610
13-4 Complex Numbers in Polar Form 614
13-5 Parametric Equations of Moving Objects 621
13-6 Chapter Review and Test 631
8 Fitting Functions to Data 351
8-1 Introduction to Regression for Linear Data 353
9-9 Chapter Review and Test 440
9-10 Cumulative Review, Chapters 7–9 445
10 Three-Dimensional Vectors 449
10-1 Review of Two-Dimensional Vectors 451
10-2 Two-Dimensional Vector Practice 452
10-3 Vectors in Space 461
10-4 Scalar Products and Projections of Vectors 466
10-5 Planes in Space 474
10-6 Vector Product of Two Vectors 479
10-7 Direction Angles and Direction Cosines 486
10-8 Vector Equations of Lines in Space 490
10-9 Chapter Review and Test 495
11 Matrix Transformations and Fractal Figures 501
11-1 Introduction to Iterated Transformations 503
11-2 Matrix Operations and Solutions of Linear Systems 504
11-3 Rotation and Dilation Matrices 510
11-4 Translation with Rotation and Dilation Matrices 515
11-5 Strange Attractors for Several Iterated Transformations 522
11-6 Fractal Dimensions 530
11-7 Chapter Review and Test 537
12 Analytic Geometry of Conic Sections and Quadric Surfaces 543
12-1 Introduction to Conic Sections 545
12-2 Parametric and Cartesian Equations of the Conic Sections 546
12-3 Quadric Surfaces and Inscribed Figures 557
12-4 Analytic Geometry of the Conic Sections 564
12-5 Parametric and Cartesian Equations of Rotated Conics 580
12-6 Applications of Conic Sections 587
12-7 Chapter Review and Test 591
C H A P T E R
13 Polar Coordinates, Complex Numbers, and Moving Objects
597
13-1 Introduction to Polar Coordinates 599
13-2 Polar Equations of Conics and Other Curves 600
13-3 Intersections of Polar Curves 610
13-4 Complex Numbers in Polar Form 614
13-5 Parametric Equations of Moving Objects 621
13-6 Chapter Review and Test 631
C H A P T E R
14 Sequences and Series
637
14-1 Introduction to Sequences and Series 639
14-2 Arithmetic, Geometric, and Other Sequences 640
14-3 Series and Partial Sums 648
14-4 Chapter Review and Test 662
C H A P T E R
15 Polynomial and Rational Functions, Limits, and Derivatives
667
15-1 Review of Polynomial Functions 669
15-2 Graphs and Zeros of Polynomial Functions 670
15-3 Fitting Polynomial Functions to Data 680
15-4 Rational Functions: Discontinuities, Limits, and Partial Fractions 687
15-5 Instantaneous Rate of Change of a Function: The Derivative 694
15-6 Chapter Review and Test 702
15-7 Cumulative Review, Chapters 10–15 707
A P P E N D I X
A Types of Numbers, Axioms, and Other Properties
713
A P P E N D I X
B Mathematical Induction
723
Answers to Selected Problems
729
Glossary
821
Index of Problem Titles
827
General Index
833
Photograph Credits
847
xii
© 2007 Key Curriculum Press
Contents Page xii Page 1 of 1
http://acr.keypress.com/KeyPressPortalV5.0/ImportingCourses2/PreCalculas2/contents/pg_... 6/2/2011

12-6 Applications of Conic Sections 587
12-7 Chapter Review and Test 591
C H A P T E R
13 Polar Coordinates, Complex Numbers, and Moving Objects
597
13-1 Introduction to Polar Coordinates 599
13-2 Polar Equations of Conics and Other Curves 600
13-3 Intersections of Polar Curves 610
13-4 Complex Numbers in Polar Form 614
13-5 Parametric Equations of Moving Objects 621
13-6 Chapter Review and Test 631
C H A P T E R
14 Sequences and Series
637
14-1 Introduction to Sequences and Series 639
14-2 Arithmetic, Geometric, and Other Sequences 640
14-3 Series and Partial Sums 648
14-4 Chapter Review and Test 662
C H A P T E R
15 Polynomial and Rational Functions, Limits, and Derivatives
667
15-1 Review of Polynomial Functions 669
15-2 Graphs and Zeros of Polynomial Functions 670
15-3 Fitting Polynomial Functions to Data 680
15-4 Rational Functions: Discontinuities, Limits, and Partial Fractions 687
15-5 Instantaneous Rate of Change of a Function: The Derivative 694
15-6 Chapter Review and Test 702
15-7 Cumulative Review, Chapters 10–15 707
A P P E N D I X
A Types of Numbers, Axioms, and Other Properties
713
A P P E N D I X
B Mathematical Induction
723
Answers to Selected Problems
729
Glossary
821
Index of Problem Titles
827
General Index
833
Photograph Credits
847
xii
© 2007 Key Curriculum Press
Contents Page xii Page 1 of 1
http://acr.keypress.com/KeyPressPortalV5.0/ImportingCourses2/PreCalculas2/contents/pg_... 6/2/2011

1 Functions and Mathematical Models 1
1-1 Functions: Graphically, Algebraically, Numerically, and Verbally 3
1-2 Types of Functions 7
1-3 Dilation and Translation of Function Graphs 15
1-4 Composition of Functions 22
1-5 Inverse of a Function 33
1-6 Reflections, Absolute Values, and Other Transformations 43
1-7 Precalculus Journal 50
1-8 Chapter Review and Test 51
2 Periodic Functions and Right Triangle Problems 59
2-1 Introduction to Periodic Functions 61
2-2 Measurement of Rotation 62
2-3 Sine and Cosine Functions 66
2-4 Values of the Six Trigonometric Functions 73
2-5 Inverse Trigonometric Functions and Triangle Problems 80
2-6 Chapter Review and Test 88
3 Applications of Trigonometric and Circular Functions 93
3-1 Sinusoids: Amplitude, Period, and Cycles 95
3-2 General Sinusoidal Graphs 96
3-3 Graphs of Tangent, Cotangent, Secant, and Cosecant
Functions 105
3-4 Radian Measure of Angles 110
3-5 Circular Functions 117
3-6 Inverse Circular Relations: Given y, Find x 124
3-7 Sinusoidal Functions as Mathematical Models 130
3-8 Rotary Motion 138
3-9 Chapter Review and Test 148
4
Trigonometric Function Properties, Identities, and Parametric Functions 155
4-1 Introduction to the Pythagorean Property 157
4-2 Pythagorean, Reciprocal, and Quotient Properties 158
4-3 Identities and Algebraic Transformation of Expressions 162
4-4 Arcsine, Arctangent, Arccosine, and Trigonometric Equations 168
4-5 Parametric Function 176
4-6 Inverse Trigonometric Relation Graphs 184
4-7 Chapter Review and Test 191
5 Properties of Combined Sinusoids 195
5-1 Introduction to Combinations of Sinusoids 197
5-2 Composite Argument and Linear Combination Properties 198
5-3 Other Composite Argument Properties 205
5-4 Composition of Ordinates and Harmonic Analysis 213
5-5 The Sum and Product Properties 223
5-6 Double and Half Argument Properties 231
5-7 Chapter Review and Test 239
6 Triangle Trigonometry 247
6-1 Introduction to Oblique Triangles 249
6-2 Oblique Triangles: Law of Cosines 250
6-3 Area of a Triangle 255
6-4 Oblique Triangles: Law of Sines 259
6-5 The Ambiguous Case 263
6-6 Vector Addition 266
6-7 Real-World Triangle Problems 274
6-8 Chapter Review and Test 280
6-9 Cumulative Review, Chapters 1–6 286
7 Properties of Elementary Functions 291
7-1 Shapes of Function Graphs 293
7-2 Identifying Functions from Graphical Patterns 294
7-3 Identifying Functions from Numerical Patterns 304
7-4 Properties of Logarithms 314
7-5 Logarithms: Equations and Other Bases 321
7-6 Logarithmic Functions 328
7-7 Logistic Functions for Restrained Growth 336
7-8 Chapter Review and Test 343
8 Fitting Functions to Data 351
8-1 Introduction to Regression for Linear Data 353
8-2 Deviations, Residuals, and the Correlation Coefficient 354
8-3 Regression for Nonlinear Data 360
8-4 Linearizing Data and Logarithmic Graph Paper 367
8-5 Residual Plots and Mathematical Models 381
8-6 Chapter Review and Test 389
9 Probability, and Functions of a Random Variable 397
9-1 Introduction to Probability 399
9-2 Words Associated with Probability 400
9-3 Two Counting Principles 402
9-4 Probabilities of Various Permutations 407
9-5 Probabilities of Various Combinations 412
9-6 Properties of Probability 420
9-7 Functions of a Random Variable 428
9-8 Mathematical Expectation 434
9-9 Chapter Review and Test 440
9-10 Cumulative Review, Chapters 7–9 445
10 Three-Dimensional Vectors 449
10-1 Review of Two-Dimensional Vectors 451
10-2 Two-Dimensional Vector Practice 452
10-3 Vectors in Space 461
10-4 Scalar Products and Projections of Vectors 466
10-5 Planes in Space 474
10-6 Vector Product of Two Vectors 479
10-7 Direction Angles and Direction Cosines 486
10-8 Vector Equations of Lines in Space 490
10-9 Chapter Review and Test 495
11 Matrix Transformations and Fractal Figures 501
11-1 Introduction to Iterated Transformations 503
11-2 Matrix Operations and Solutions of Linear Systems 504
11-3 Rotation and Dilation Matrices 510
11-4 Translation with Rotation and Dilation Matrices 515
11-5 Strange Attractors for Several Iterated Transformations 522
11-6 Fractal Dimensions 530
11-7 Chapter Review and Test 537
12 Analytic Geometry of Conic Sections and Quadric Surfaces 543
12-1 Introduction to Conic Sections 545
12-2 Parametric and Cartesian Equations of the Conic Sections 546
12-3 Quadric Surfaces and Inscribed Figures 557
12-4 Analytic Geometry of the Conic Sections 564
12-5 Parametric and Cartesian Equations of Rotated Conics 580
12-6 Applications of Conic Sections 587
12-7 Chapter Review and Test 591

Welcome to Your New Wiki!

Welcome to Precalculus Honors. This is YOUR wiki-page. We will be using this page all year to keep track of what we've learned, what we want to learn, and what we might not ever learn!