COURSE: Introduction to Number Theory, M328K #57095, Spring 2006 ------ TEXT: Kenneth H. Rosen, "Elementary Number Theory", fifth 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: H. Koch, Office Hours TTh 2:30-4:00, RLM 12.152, Tel: 471-8183, ---------- Email: koch@math.utexas.edu, Web: www.ma.utexas.edu/users/koch/ GRADING: Letter grades (A,B,C,D,F) will be given for each | 90 -100 A ------- exam, but number grades (100,99,..,2,1,0) will be | 80 - 89 B kept for averaging. The course grade will be obtained | 70 - 79 C by averaging the scores of the four exams, and of the | 60 - 69 D homework. Each student may replace the grade of any | 0 - 59 F ONE exam by the grade of one of the following exams. HOMEWORK will be assigned every Tuesday and collected one week later in -------- class. Each assignment is graded on a scale from zero to 20. Half the sum of the ten highest scores contributes 6% to the class grade. EXAMS: There will be four seventy-minutes, | Homework 6% ----- cumulative (approx 80% new and 20% | Exam 1 ( Tu Feb 7 ) 22% old topics) exams. Speed is a factor | Exam 2 ( Tu Mar 7 ) 23% being tested. Books, calculators, or | Exam 3 ( Tu Apr 11 ) 24% notes are not allowed. FINAL -----> | Exam 4 ( Sa May 13 ) 25% No make-up exams will be given.