Abstract Algebra

Fall semester 2023
Course: MATH 3320
Course record number: 56280
Instructor: Y. Sommerhäuser
Schedule:
- Time: Mon, Wed, Fri 10:00 am-10:50 am
- Room: EN 1052
Office hours of Y. Sommerhäuser: Mon 11:15 am-12:15 pm, Tue 12:15 pm-1:15 pm, Thu 12:15 pm-1:15 pm, Fri 11:15 am-12:15 pm, and by appointment
Office hours of V. K. Yadav: Mon 12:00 m-1:00 pm, HH 2010
Textbook: W. K. Nicholson: Introduction to Abstract Algebra, 4th ed., Wiley, Hoboken, 2012 (required resource)
Outline: The course provides an introduction to group theory, ring theory, and field theory. In group theory, the course covers at least cyclic groups, cosets, Lagrange's theorem, normal subgroups, and quotient groups. In ring theory, the course discusses at least ideals, especially prime ideals and maximal ideals, quotient rings, and integral domains. In field theory, we discuss at least extension fields and their degrees. Time permitting, we discuss Sylow's theorems and elementary Galois theory.
Examinations: There will be a midterm examination and a comprehensive final examination. The midterm examination takes place on Wednesday, October 11 during regular class time in our usual classroom. The final examination takes place on Saturday, December 9, from 9:00 am to 12:00 m in SN 2064.
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 examination 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 examination: 25 percent
- Final examination: 50 percent
Policies: Eating, drinking, and smoking is not permitted in the classroom. You are expected to be present at every class meeting, from the beginning to the end. Attendance will be taken and used to make decisions in borderline cases. 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.
Syllabus.
Exercise sheets:

Former courses
Last modified: November 29, 2023