W80 Curricular Materials for K-8 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 , Mathematics in Context, and Singapore Math. Familiarity with a variety of K-8 mathematics curricula, with state and national mathematics grade level standards, and with state and national K-8 mathematics testing instruments is important for prospective teachers. Practice in designing exemplary mathematics lessons, making mathematics/literature connections, and solving mathematics problems are valuable skills for classroom mathematics teachers. 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 additional hours in the Curriculum Center. 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. Prerequisite: Mathematics 222. J. Koop. 2:00 p.m. to 5:00 p.m.
W81 Algebra & Geometry of Polynomials. Since Descartes founded analytic geometry in the 17th century, the study of the algebra of polynomials in several variables has proven to be an important approach to the study of geometry. Since the late 19th century, this study has been effectively organized through the algebraic concept of ideal and the geometric concept of variety. The objective of this course is to give an introduction to the study of the geometry of varieties through the algebra of ideals of polynomials via the guiding principles founded in the work of David Hilbert. Along the way, computational methods, such as Grobner bases, will be explored. We will also look at applications in mechanics, such as robotic arm motions. Student performances will be evaluated based on assignments and a final project. This course fulfills the interim requirement for a mathematics major. Some exposure to multivariable functions would also be desirable. Prerequisite: Math 231 or 256. J. Turner. 2:00 p.m. to 5:00 p.m.
W82/IDIS W66 Mathematical/Scientific Programming . This course offers students an opportunity to hone their programming skills in the context of interesting mathematical and scientific problems using the python and sage programming languages. Lectures and laboratory exercises introduce students to important aspects of programming in these contexts including accuracy of numerical calculations, visualization tools, object-oriented design and programming, Monte Carlo simulation, methods of numerical integration and differentiation, and using mathematical structures in sage. Student evaluation is based on laboratory exercises, programming projects, program documentation, and final presentations. Projects may be done individually or in groups. This course satisfies the interim course requirement for Mathematics
majors. Prerequisites: CS 106 or 108, Math 171 or 132, and Math 256 (Math students only). R. Pruim. 2:00 p.m. to 5:00 p.m.
170 Elementary Functions and Calculus. 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. 8:30 a.m. to noon and 2:00 p.m. to 5:00 p.m.