## Interim 2007

#### Mathematics

**W81 Graph Theory. **This course is an introduction to graph theory, a relatively “young” (after 1890) branch of pure mathematics that has many applications to other disciplines, most notably computer science. The course is primarily a problem-solving class with student work consisting of homework problems, in-class group work, and student presentations of solutions (both written and oral). There is some direct instruction but the most of the learning will be through active participation in problem-solving. Problems will range from relatively concrete (though sometimes difficult) counting and enumeration problems to quite abstract theorems that require careful proofs. Graph theory is a good area in which to develop theorem-proving skills as the objects, though abstract, are finite and relatively easy to understand and the subject matter does not have any particular mathematical prerequisite. Applications of graph theory may be introduced but are not the major focus of this course. Students are evaluated based on their problem solutions and presentations. The prerequisite for this course is at least one of Mathematics 301, 312, 351, or 361. The course satisfies the requirement in the mathematics major of one interim course. *M. Stob. *8:30 a.m. to noon.

**W82 Curricular Materials for K-8 School Mathematics. **This course examines and evaluates K-8 mathematics curricula in the context of the NCTM *Principles and Standards for School Mathematics *. Although the emphasis this year will be on grades 6-8, curricula at all grade levels will be examined. Some of the curricula to be discussed are *Everyday Mathematics, Investigations, Math TrailBlazers, Connected Mathematics, MathScape, MathThematics *and *Mathematics in Context. *Students are expected to complete assigned readings, to participate in and lead sample activities and lessons, and to contribute to small-group and whole-class discussions of the materials under consideration. Evaluation is based on in-class participation, presentation of grade-level lessons, several written quizzes, and written projects. Optional K-8 classroom observations can be arranged for the morning hours. Students should arrange their schedules so that they can spend some additional hours in the Curriculum Center . Prerequisite: Mathematics 222. This course may replace Mathematics 110 in the elementary education mathematics minor for students who have completed four years of high school mathematics and who have received permission from their mathematics advisor. * J. Koop *. 2:00 p.m. to 5:00 p.m.

**MATH-160 Elementary Functions and Calculus **(core). This course is a continuation of Mathematics 159. Topics include applications of derivatives, integrals, the fundamental theorem of calculus, and applications of integrals. Grades are based on problem sets, tests, and a final exam. Prerequisite: Mathematics 159. *T. Jager. *8:30 a.m. to noon and 2:00 p.m. to 5:00 p.m.