Synopses & Reviews
This laboratory manual serves as a valuable companion to any precalculus text. Each of the manual's laboratory projects is designed for group collaboration, and each project culminates in a written report submitted by the group. This manual can be used with either a graphing calculator or a computer graphing program. Guides for the TI-82, TI-83, TI-85, TI-86, and TI-92 graphing calculators are included. Topics are presented in the traditional order, beginning with linear and quadratic functions and ending with exponential, logarithmic, and trigonometric functions.
About the Author
Marsha Davis currently teaches at Eastern Connecticut State University, and has been involved in mathematics education reform for over 20 years. Specializing in the use of technology in the mathematics and statistics classroom, she is one of the core contributing writers on the ARISE project, a NSF-funded comprehensive secondary curriculum development project. She has been an invited speaker at numerous national conferences, including AMATYC, ICTCM, SIAM, ASA, and AMA, and will be speaking at the January '03 MAA/AMS meeting. Judith Flagg Moran is the director of the mathematics help center at Trinity College in Hartford, Conn. She has conducted NSF-funded workshops together with colleagues at the University of Hartford to promote the use of technology and collaborative learning. She is an active member of the American Mathematical Society (AMS), the Mathematical Association of America (MAA), and the Association of Women in Mathematics. Mary Murphy has taught mathematics in high school, in community colleges, and at liberal arts colleges. Currently at Smith College, she teaches a precalculus course tailored to the needs of women of non-traditional age, and participates in programs to encourage and retain students of color in the sciences. She is an active member of MAA.
Table of Contents
A Letter to the Students / For the Student: Guidelines for Lab Reports LABORATORY I A: FAHRENHEIT LABORATORY I B: PROGRAMMING YOUR VCR Linear Functions / The Graphing Game / Have It Your Way / "A Big Moosetake." LABORATORY II: GALILEO / Quadratic Functions / "Dont Fence Me In." Exploring Quadratics / Feeling Run Down? Diagonals of a Polygon LABORATORY III: GRAPH-TREK Shifting and Reflecting Graphs / Fun House Mirrors / The Accordion Effect / Self Reflection / Double Reflection / Symmetry Test / Its Absolute / Beautiful / Compositions LABORATORY IV: ELECTRIC ENERGY Inequalities / Least Squares Line / Skeleton Keys / "Its Not Easy Being Green." Positive Results LABORATORY V: PACKAGES Polynomial Functions / Exploring Polynomials / Repeated Roots / What Power? LABORATORY VI: DOORMATS Rational Functions / Black Holes and Vertical Asymptotes / Long-Term Behavior of Rational Functions / Optimize for a Ban on Waste / How Effective Is a Drug Test? LABORATORY VII A: AIDS LABORATORY VII B: WASTING AWAY Exponential Growth and Decay / Exploring Exponential Functions / Exponential Growth / Compound Interest / Making a Difference / Garbage / "Vamoose." Limits to Growth LABORATORY VIII: EARTHQUAKES Logarithmic Functions / Exploring Logarithmic Functions / Algebraically Equivalent Functions / Alternate Formula for M(x) / "I Hear the Train a-Comin..." LABORATORY IX: DAYLIGHT AND SAD Trigonometric Functions / SAD and Latitude / An Alternate Variety of SAD / Down the Drain / Dont Lean on Me / Lord of All I Survey LABORATORY X: BORDEAUX Multivariable Functions / Quilts / Lost in the Supermarket / Wind Chill / More Energy LABORATORY XI: BEZIER CURVES Parametric Equations / What Goes Around Comes Around / Parametric Impersonations of a Fly / Inverses, Parametric Style / Appendix: The TI-82/83 Graphing Calculator; the TI-85/86 Graphing Calculator; the TI-92 Calculator: Primers