Course: Mathematics 131 C, Calculus and Analytic Geometry 1, Fall 1999, Central College.
Professor: Tom Linton, 312B Central Hall, (515) 628-5264, email: lintont@central.edu.
Class Meets: MTWF 1 to 1:50 PM. On MWF, the class meets in Central Hall 310, on Tuesdays we meet in Central Hall 308.
Office Hours: 11 AM Monday, 10 AM and 3 PM Tuesday, 3 PM Wednesday, 10 AM Friday, or by appointment.
Text: Calculus from Graphical, Numerical, and Symbolic Points of View by Ostebee and Zorn.
Course Syllabus and a schedule with assignments. Be sure to read the preface for students (also in your textbook).
 

TI-83 Graphing Calculator Materials:

• Introduction: A general introduction to several features of the TI-83 calculator.
• Graphing: A look at several notions (menus, windows, tables, finding roots, ...) related to the graphing capabilities of the TI-83 calculator.
• Functions: Entering and evaluating expressions giving formulas for functional relationships.
• Integer Functions: A brief description of integer valued functions (round-up, round-down etc.) on the TI-83.

Projects:

Project 1 Inspector Clouseau is Hot on the Trail of the Pink Panther: Based on a project by Frank Zizza of Willamette University, this version explores exponential functions of the form  f(x) = c + a*(b^x). Verbal, numerical and algebraic descriptions of these exponential functions are utilized by students to help Inspector Clouseau determine the guilt or innocence of Chief Inspector Dreyfus in a diamond theft.

Project 2 Racing With a Two-Speed Bicycle Based on a project by Richard Iltis of Willamette University, this version explores how far one can travel on a two-speed bicycle in two minutes. The concepts of derivative as a rate of change and slope of tangent line are utilized. Graphical and tabular data are presented.

Project 3 Leaky Bottles An exploration of the differential equation known as Torricelli's Law, h' = -k*h^(1/2). Torricelli's law states that when a valve in a cylindrical tank is opened, the depth of the liquid in the tank drops at a rate proportional to the  square root of the depth. Students are asked to construct a cylindrical tank, collect data, and estimate values for the parameters in the solution to this differential equation. Numerical estimates of values of the rate function h'(t) play a key role.

Other Class Materials

Quizzes

Quiz 1, Quiz 2, Quiz 3

Activities

Inverse Functions, Implicit Differentiation, Area Function activity.