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Viser: Investigating College Algebra and Trigonometry with Technology with Trigonometry Chapters 12 and 13 Student CD-ROM and Access Code Card

Investigating College Algebra and Trigonometry with Technology with Trigonometry Chapters 12 and 13 Student CD-ROM and Access Code Card

Investigating College Algebra and Trigonometry with Technology with Trigonometry Chapters 12 and 13 Student CD-ROM and Access Code Card

Kathy Burgis
(2008)
Sprog: Engelsk
John Wiley & Sons, Incorporated
1.937,00 kr.
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Detaljer om varen

  • Hardback: 698 sider
  • Udgiver: John Wiley & Sons, Incorporated (Juni 2008)
  • ISBN: 9780470413326
Technology and an investigative pedagogy are powerful tools forfostering in-depth understanding of mathematics concepts. Investigating College Algebra and Trigonometry withTechnology presents the core concepts of College Algebra andTrigonometry within a technology-oriented, data-driven, appliedframework that embraces investigative, collaborativelearning.  With this text, students use graphingcalculators, and optionally Microsoft® Excel and othertechnologies, to explore patterns and to make, test, and generalizeconjectures. Most importantly, investigations?which engagestudents in analysis of real-world data?promote collaborationand bring relevance to the mathematics students are learning.

The American Mathematical Association of Two-Year Colleges(AMATYC) and the Mathematical Association of America?sCommittee on Undergraduate Programs in Mathematics (CUPM) setstandards for meaningful and relevant mathematics and therefocusing of the College Algebra and Trigonometry course. Thistext follows their recommendations for using technology,experiencing varied applications of mathematics, and havingopportunities to solve problems, reason critically, exhibitpersistence, and test conjectures through investigations and dataanalysis.

Annotated Contents vii Preface xix To the Student xxvii To the Instructor xxix Acknowledgments xxxi
Chapter 1: Problem Solving 1
1.1 Pictures, Graphs, and Diagrams 2
1.2 Symbolic Representation 9
1.3 Organizing Information 16
1.4 Measures of Central Tendency and Box Plots 24
1.5 Measures of Spread 31
Chapter 1 Review 45
Chapter 2: Patterns and Recursion 53
2.1 Recursively Defined Sequences 54
2.2 Modeling Growth and Decay 64
2.3 A First Look at Limits 71
2.4 Graphing and Sequences 77
2.5 Loans and Investments 86
Chapter 2 Review 99
Chapter 3: Linear Models and Systems 103
3.1 Linear Equations 104
3.2 Revisiting Slope 111
3.3 Fitting a Line to Data 119
3.4 Linear Systems 127
3.5 Substitution and Elimination 133
Chapter 3 Review 142
Chapter 4: Functions, Relations, and Transformations 148
4.1 Interpreting Graphs 149
4.2 Function Notation 155
4.3 Lines in Motion 163
4.4 Translations and the Quadratic Family 170
4.5 Reflections and the Square Root Family 177
4.6 Stretches and Shrinks and the Absolute Value Family 184
4.7 Transformations and the Circle Family 192
4.8 Compositions of Functions 200
Chapter 4 Review 211
Chapter 5: Exponential, Power, and Logarithmic Functions 215
5.1 The Exponential Function 216
5.2 Properties of Exponents 223
5.3 Fractional Exponents and Roots 229
5.4 Applications of Power Equations 239
5.5 Building Inverses of Functions 243
5.6 The Logarithmic Function 251
5.7 Properties of Logarithms 257
5.8 Applications of Logarithms 264
Chapter 5 Review 273
Chapter 6: Quadratic and Other Polynomial Functions 277
6.1 Polynomial Degree and Finite Differences 278
6.2 Equivalent Quadratic Forms 286
6.3 Completing the Square 294
6.4 The Quadratic Formula 301
6.5 Complex Numbers 307
6.6 Factoring Polynomials 314
6.7 Higher-Degree Polynomials 320
6.8 More about Finding Solutions 327
Chapter 6 Review 337
Chapter 7: Matrices and Linear Systems 341
7.1 Matrix Representations 342
7.2 Matrix Operations 349
7.3 The Row Reduction Method 360
7.4 Solving Systems with Inverse Matrices 368
7.5 Systems of Linear Inequalities 378
7.6 Linear Programming 385
Chapter 7 Review 395
Chapter 8: Parametric Equations and Trigonometry 401
8.1 Graphing Parametric Equations 402
8.2 Converting Parametric to Nonparametric Equations 411
8.3 Right Triangle Trigonometry 418
8.4 Using Trigonometry to Set a Course 431
8.5 Projectile Motion 438
8.6 The Law of Sines 445
8.7 The Law of Cosines 453
Chapter 8 Review 462
Chapter 9: Conic Sections and Rational Functions 466
9.1 Using the Distance Formula 467
9.2 Circles and Ellipses 474
9.3 Parabolas 486
9.4 The Hyperbola 494
9.5 Nonlinear Systems of Equations 503
9.6 Introduction to Rational Functions 508
9.7 Graphs of Rational Functions 516
9.8 Operations with Rational Expressions 524
Chapter 9 Review 533
Chapter 10: Series 539
10.1 Arithmetic Series 540
10.2 Infinite Geometric Series 547
10.3 Partial Sums of Geometric Series 554
Chapter 10 Review 562
Chapter 11: Probability 565
11.1 Randomness and Probability 566
11.2 Counting Outcomes and Tree Diagrams 577
11.3 Mutually Exclusive Events and Venn Diagrams 586
11.4 Random Variables and Expected Value 593
11.5 Permutations and Probability 600
11.6 Combinations and Probability 607
11.7 The Binomial Theorem and Pascal?s Triangle 613
Chapter 11 Review 623
Chapter 12: Trigonometric Functions (on the Student CD)
12.1 Defining the Circular Function
12.2 Radian Measure and Arc Length
12.3 Graphing Trigonometric Functions
12.4 Inverses of Trigonometric Functions
12.5 Polar Coordinates
Chapter 13: Trigonometric Identities (on the Student CD)
13.1 Fundamental Trigonometric Identities
13.2 Sum and Difference Identities
13.3 Double- and Half-Angle Identities
13.4 Modeling with Trigonometric Equations
13.5 Solving Trigonometric Equations
Chapter 13 Review Selected Answers 627 Glossary 675 Photo Credits 687 Index 688 Resources on the Student CD Prerequisite Review: Numbers and Figures ? Operations onNumbers ? The Ideas that Motivate Algebra ? Exponents ? Radicals? Polynomials ? Factoring Polynomials ? Rational Expressions
Chapter 12 Trigonometric Functions
Chapter 13 Trigonometric Identities Calculator Notes Microsoft® Excel Notes Interactive Spreadsheets for Excel Explorations
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