Investigating College Algebra with Technology, Student CD-ROM with Access Code Card

by Kathy Burgis (Aquinas College ); Jeff Morford (Henry Ford Community College)

• ISBN13: 9780470413302
• ISBN10: 0470413301
• Edition: CD
• Format: Hardcover
• Copyright: 2008-06-01
• Publisher: WILEY

Summary

Technology and an investigative pedagogy are powerful tools for fostering in-depth understanding of mathematics concepts. Investigating College Algebra with Technology presents the core concepts of College Algebra and Trigonometry within a technology-oriented, data-driven, applied framework that embraces investigative, collaborative learning. With this text, readers use graphing calculators, and optionally Microsoftr Excel and other technologies, to explore patterns and to make, test, and generalize conjectures. Most importantly, investigations-which engage readers in analysis of real-world data-promote collaboration and bring relevance to the mathematics readers are learning.

Table of Contents

Annotated Contents	p. vii
Preface	p. xix
To the Student	p. xxvii
To the Instructor	p. xxix
Acknowledgments	p. xxxi
Problem Solving	p. 1
Pictures, Graphs, and Diagrams	p. 2
Symbolic Representation	p. 9
Organizing Information	p. 16
Measures of Central Tendency and Box Plots	p. 24
Measures of Spread	p. 31
Review	p. 45
Patterns and Recursion	p. 53
Recursively Defined Sequences	p. 54
Modeling Growth and Decay	p. 64
A First Look at Limits	p. 71
Graphing and Sequences	p. 77
Loans and Investments	p. 86
Review	p. 99
Linear Models and Systems	p. 103
Linear Equations	p. 104
Revisiting Slope	p. 111
Fitting a Line to Data	p. 119
Linear Systems	p. 127
Substitution and Elimination	p. 133
Review	p. 142
Functions , Relations, and Transformations	p. 148
Interpreting Graphs	p. 149
Function Notation	p. 155
Lines in Motion	p. 163
Translations and the Quadratic Family	p. 170
Reflections and the Square Root Family	p. 177
Stretches and Shrinks and the Absolute Value Family	p. 184
Transformations and the Circle Family	p. 192
Compositions of Functions	p. 200
Review	p. 211
Exponential , Power, and Logarithmic Functions	p. 215
The Exponential Function	p. 216
Properties of Exponents	p. 223
Fractional Exponents and Roots	p. 229
Applications of Power Equations	p. 239
Building Inverses of Functions	p. 243
The Logarithmic Function	p. 251
Properties of Logarithms	p. 257
Applications of Logarithms	p. 264
Review	p. 273
Quadratic and Other Polynomial Functions	p. 277
Polynomial Degree and Finite Differences	p. 278
Equivalent Quadratic Forms	p. 286
Completing the Square	p. 294
The Quadratic Formula	p. 301
Complex Numbers	p. 307
Factoring Polynomials	p. 314
Higher-Degree Polynomials	p. 320
More about Finding Solutions	p. 327
Review	p. 337
Matrices and Linear Systems	p. 341
Matrix Representations	p. 342
Matrix Operations	p. 349
The Row Reduction Method	p. 360
Solving Systems with Inverse Matrices	p. 368
Systems of Linear Inequalities	p. 378
Linear Programming	p. 385
Review	p. 395
Parametric Equations and Trigonometry	p. 401
Graphing Parametric Equations	p. 402
Converting Parametric to Nonparametric Equations	p. 411
Right Triangle Trigonometry	p. 418
Using Trigonometry to Set a Course	p. 431
Projectile Motion	p. 438
The Law of Sines	p. 445
The Law of Cosines	p. 453
Review	p. 462
Conic Sections and Rational Functions	p. 466
Using the Distance Formula	p. 467
Circles and Ellipses	p. 474
Parabolas	p. 486
The Hyperbola	p. 494
Nonlinear Systems of Equations	p. 503
Introduction to Rational Functions	p. 508
Graphs of Rational Functions	p. 516
Operations with Rational Expressions	p. 524
Review	p. 533
Series	p. 539
Arithmetic Series	p. 540
Infinite Geometric Series	p. 547
Partial Sums of Geometric Series	p. 554
Review	p. 562
Probability	p. 565
Randomness and Probability	p. 566
Table of Contents provided by Publisher. All Rights Reserved.