W81 Curricular Materials for K–8 School Mathematics. This course examines and evaluates K–8 mathematics curricula in the context of the NCTM’s Principles and Standards for School Mathematics. Although the emphasis is on grades 6–8, curricula at all grade levels is 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 discussions. 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.

W82 Number Theory and Cryptography. Number theory, one of the oldest areas of mathematical study, has undergone a renewal in the last 30 years because of its newly discovered role in cryptography. In this course, students study relevant topics in number theory to address a variety of cryptographic techniques. Number theoretic topics include modular congruence, Fermat’s Theorem, the Euler phi-function, Euler’s theorem, primitive roots, discrete logarithms, quadratic reciprocity, primality testing, factorization methods, and elliptic curve arithmetic. Cryptographic methods address various crypto-systems such as RSA, El Gamal, and Massey-Omura as well as protocols utilizing number theory such as mental poker, blind signatures, and key exchange algorithms. Student evaluation is based on written assignments, a group project and presentation. Prerequisite: Mathematics 256. E. Fife.

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. J. Ferdinands.