FIRST DAY HANDOUT, M328K #55485

################################################################ COURSE AND SYLLABUS ################################################################ COURSE: M328K INTRO TO NUMBER THEORY (55485) Fall 2023 Prerequisites: M341 or M325K, with a grade of at least C- RECOMMENDED TEXT: Kenneth H. Rosen, "Elementary Number Theory", 6th ed. ROUGH SYLLABUS: induction, divisibility, prime numbers, fundamental theorem of arithmetic; congruences, applications, Chinese remainder theorem, Euler theorem; multiplicative functions, Moebius inversion, cryptology; primitive roots, index arithmetic; quadratic residues; continued fractions. INSTRUCTOR: Hans Koch Office hours Mon Wed 1:30 pm - 3 pm, in PMA 12.152 WEB PAGES: Course information is posted at https://web.ma.utexas.edu/users/koch/M328K/. Access to some document files (lecture notes, exams, homework) is restricted. On first access, you will be prompted for a username and a password. The username is "class", and the password is posted on Canvas. Canvas is NOT otherwise used for this course. LECTURES: Tue Thu 11:00 am - 12:30 pm, in CBA 4.332 Attending classes is mandatory. Notes will be posted HERE one week in advance. HOMEWORK: will be assigned/posted every Thursday HERE and is due the following Thursday in class. The sum of the highest 10 scores contribute 15% towards the course grade. EXAMS: There will be two 75-minute midterm exams in CBA 4.332 and a final exam (location announced in November). See also HERE. The course grade is obtained via averaging from the number grades on the three exams and the homework. Midterm 1: Thu Sep 21, 11:00 am - 12:15 pm (weight 25%) Midterm 2: Thu Oct 26, 11:00 am - 12:15 pm (weight 25%) Final: Mon Dec 11, 8:00 am - 10:00 am (weight 35%) Homework: (weight 15%) No make-up exams are given, except in cases of documented illness or emergencies. For students with documented special needs, a time extension can be arranged if requested at least 10 days before the exam. GRADING: Credit will be given mainly for valid, relevant, and comprehensible solution steps. Just answers receive little or no credit. Each exam is graded on a scale from 0 to 60 points and is "curved" to a number grade from 0 to 100 via an affine function (example: grade = 10 + 1.5 * points). The "curve" will be made public after the exam is graded. The correspondence between number grades and letter grades is 93 -100 A 89 - 92 A- 85 - 88 B+ 81 - 84 B 77 - 80 B- 73 - 76 C+ 69 - 72 C 65 - 68 C- 61 - 64 D+ 57 - 60 D 53 - 56 D- 0 - 52 F Graded exams are returned in class roughly a week after the exam. (Recall that class attendance is mandatory.) DROP deadline: Mon October 23. Last day an undergraduate student may, with the dean's approval, withdraw from the University or drop a class except for urgent and substantiated, nonacademic reasons. SSD: Students with disabilities may request appropriate academic accommodations from the Division of Diversity and Community Engagement, http://diversity.utexas.edu/disability/