FRS 004— Sec. 011—
(2 units) — CRN 53639— W 6:10-8:30pm— 1 Olson
Doing Mathematics — With a Computer at Your Side
Instructor: Kurt Kreith, Department of Mathematics, College of Letters
and Science
Description: The course begins by revisiting topics from school
mathematics in a decidedly modern context. Here you will use spreadsheets to demystify
operations performed by hand calculators, such as finding square roots, solving
equations, and simulating exponential and logistic growth. This use of spreadsheets
will enable us to address a range of topics that have emerged since the dawn of
the computer age. In particular, we will learn to use spreadsheets to generate
fractal images and simulate chaos. Students will be presented with a modern view
of mathematics and develop computer skills that are valuable in a variety of situations.
Format: The seminar will meet in a computer lab. Each session
will begin with the discussion and elaboration of a familiar mathematical concept,
followed by a computer project using Excel. Materials will be taken from “Teaching
Mathematics Using Technology (Kreith & Chakerian, 2002) and from notes I have
developed for my summer course for the California State Summer School for Mathematics
and Science (Cosmos). Students will be required to develop and present a class
project (usually one that elaborates on one of the class projects). Grading:
Students will be graded on their final project and presentation (50%), and on
class participation and interim projects (50%).
About the Instructor: Kurt Kreith is a Professor Emeritus of
Mathematics at UC Davis. Since 1982 he has been actively involved in mathematics
education, including summer institutes relating mathematics to environmental studies
curricula at the secondary school level. He is co-author of “Iterative Algebra
and Dynamic Modeling,” a recently published text that sets the stage for
mathematical modeling at the secondary school level.