Math 442/542 Theory of Numbers Professor: Dan SingerMT HF 11:00 – 11:50 AM Webpage: http://mavdisk.mnsu.edu/singed/Classroom: Wissink Hall 286 Email: dan.singer@mnsu.eduMy Office: Wissink Hall 263 Office Hours: 3–5 MT HF

Course Description: Divisibility, prime numbers, congruences, Euler’sfunction, the group of units, quadratic residues, sums of squares, and Dio-phantie equations.

Prerequisite: Math 345 with C or better or consent.

Textbook: Elementary Number Theory by Gareth A. Jones and J. MaryJones, Springer.

Course Format: I will give lectures on chapters 1–7 and 10–11 of thetextbook, introducing additional material on quadratic fields and partitionsof integers as time permits. I will work through many of the homeworkproblems in class, and assign others as homework. Grades for undergraduatestudents will be based entirely on homework. Grades for graduate studentswill be based on both homework and a final project. The determination ofgrades will be based on a standard scale (90% – 100% for an A, 90% – 89%for a B, etc.)

How to Study for this Class: Read the textbook carefully and take notesin class as needed. Write up the homework exercises thoroughly.

Conduct: Electronic devices are prohibited. Please arrive on time, remainin your seats for the full class period (unless there is some kind of emergency),and don’t interrupt the class with conversation. Your respectful conduct willbe appreciated!

Disability Accommodation: Minnesota State University, Mankato pro-vides students with disabilities reasonable accommodation to participate ineducational programs, activities or services. Students with disabilities requir-ing accommodation to participate in class activities or meet course require-ments should first register with Accessibility Resources, (Memorial Library132, telephone 389-2825, TDD 711) to establish an accommodation plan andthen contact me if needed. The full policy is available at

http://www.mnsu.edu/atoz/policies/acessforstudentswithdisabilities2015.pdf.