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Yorck Sommerhäuser

Courses

Introductory Number Theory

  • Fall semester 2024
  • Course: MATH 3370
  • Course record number: 40511
  • Instructor: Y. Sommerhäuser
  • Schedule:
    • Time: Mon, Wed, Fri 2:00 pm-2:50 pm
    • Room: HH 3015
  • Office hours of Y. Sommerhäuser:
    • Time: Mon 3:15 pm-5:15 pm, Thu 3:45 pm-5:45 pm and by appointment
    • Room: HH 3007
  • Textbook: D. E. Rideout: MATH 3370 Course Manual, 4th edition, Memorial University, St. John's, 2022 (required resource)
  • Outline: The course covers at least the first six chapters of the textbook. Topics covered are primes and perfect numbers, the fundamental theorem of arithmetic, congruences, the Chinese remainder theorem, and the structure of the multiplicative group of the integers modulo m. Time permitting, additional chapters of the textbook will be covered, for example applications of number theory to cryptography.
  • Exams: There will be a midterm exam and a comprehensive final exam. The midterm exam takes place on Wednesday, October 16 during regular class time in our usual classroom. The final exam takes place on Thursday, December 12, from 3:00 pm to 6:00 pm in a classroom that will be determined by the registrar's office.
  • Homework: Beginning Monday of the second week, a weekly exercise sheet will be handed out. This has to be submitted in class on the following Monday. There will be no exercise sheet during the week of the midterm exam and no exercise sheets during the last two weeks of the semester. In addition, a reading assignment from the textbook will be given in every lecture.
  • Prerequisite: MATH 2320 (Discrete Mathematics)
  • Examination criteria: The final mark will be computed using the following weights.
    • Homework: 25 percent
    • Midterm exam: 25 percent
    • Final exam: 50 percent
  • Policies: Eating, drinking, and smoking is not permitted in the classroom. While attendance is not required, it will be recorded. The use of electronic devices, especially cellphones, calculators, and laptop computers, is not permitted without explicit permission of the instructor. Electronic devices have to be turned off completely. While the use of artificial intelligence is permitted, it is not allowed to copy its answers verbatim.
  • Syllabus.
  • Exercise sheets:

Former courses
Last modified: November 25, 2024