**Section:**001

**Term:**WN 2018

**Subject:**Mathematics (MATH)

**Department:**LSA Mathematics

This is an elementary introduction to number theory, especially congruence arithmetic. Number Theory is one of the few areas of mathematics in which problems easily describable to a layman (is every even number the sum of two primes?) have remained unsolved for centuries. Recently some of these fascinating but seemingly useless questions have come to be of central importance in the design of codes and ciphers. In addition to strictly number- theoretic questions, concrete examples of structures such as rings and fields from abstract algebra are discussed. Concepts and proofs are emphasized, but there is some discussion of algorithms which permit efficient calculation. Students are expected to do simple proofs and may be asked to perform computer experiments. Although there are no special prerequisites and the course is essentially self-contained, most students have some experience in abstract mathematics and problem solving and are interested in learning proofs. At least three semesters of college mathematics are recommended. A Computational Laboratory (Math 476, 1 credit) will usually be offered as an optional supplement to this course.

** For more information on this course, please visit the Department of Mathematics webpage **

*NOTE: Data maintained by department in Wolverine Access. If no textbooks are listed below, check with the department.*

**ISBN: 9780471546009**

**Optional**

**IMPORTANT:**These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in

**prior academic terms**. The syllabi

**do not**necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

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