COURSE: Introduction to Number Theory, M328K #55375, Fall 2010 ------ PREREQUISITES: M341 or M325K, with a grade of at least C-. ------------- TEXT: Kenneth H. Rosen, "Elementary Number Theory", sixth edition ---- SYLLABUS: induction, divisibility, prime numbers, fundamental theorem of -------- arithmetic; congruences, applications, Chinese remainder theorem, Euler theorem; multiplicative functions, Möbius inversion, cryptology; primitive roots, index arithmetic; quadratic residues; cont. fractions INSTRUCTOR: Hans Koch, Office Hours TTh 3:00-4:30, and by appointment ---------- | 93 -100 A GRADING: Letter grades (A,A-,B+,...,D-,F) will be given for | 89 - 92 A- ------- each exam, but number grades (100,99,..,2,1,0) will | 85 - 88 B+ be kept for averaging. The course grade is obtained | 81 - 84 B by averaging the number grades of the 4 exams and of | 77 - 80 B- the homework. Each student may replace the grade of | 73 - 76 C+ ONE exam by the grade of one of the following exams. | 69 - 72 C | 65 - 68 C- HOMEWORK will be assigned on Mondays and collected one week | 61 - 64 D+ -------- later in class. Each assignment is graded on a scale | 57 - 60 D from 0 to 15. 2/3 of the sum of the ten highest HW | 53 - 56 D- scores contributes 6% to the class grade. | 0 - 52 F EXAMS: Three 45 minute in-class (Exams 1,2,3) | Exam 1 (Mo Sep 20) 22% ----- and a 120 minute Final (Exam 4, 2-4 pm) | Exam 2 (We Oct 13) 22% Exams 2-4 cover approx 80% new and 20% | Exam 3 (Mo Nov 8) 22% old material. | Exam 4 (We Dec 8) 28% No make-up exams will be given. | Homework 6% MORE INFO: See the class web page http://www.ma.utexas.edu/users/koch/M328K/ ---------