Math 350: Groups, Rings, and Fields
Instructor: Nathan Pflueger
This course is an introduction to abstract algebra, a central pillar of modern mathematics that concerns generalizations of the familiar addition and multiplication operations from ordinary arithmetic. The course focuses on three types of algebraic structures: groups, rings, and fields. For each structure, we study certain transformations between such structures, a library of important examples, and ways to construct one object from another. Time permitting, we will discuss several applications of abstract algebra, including a preview of public-key cryptography (a subject that I will most likely teach a semester-long course about in the spring).
- My office hours in SMUD 401:
- Tuesday 2:45-4:15
- Wednesday 1:15-2:45
- Friday 1:30-2:30
- Kat Mendoza's help hours in SMUD 208 (will be in 007 after renovation is finished):
- James Corbett's help hours in SMUD 208 (will be in 007 after renovation is finished):
- Tuesday 6-8pm
- Wednesday 6-8pm
- Fernando Liu Lopez's help hours in New Science Center D107 (ground floor, right behind the Science Library space):
- MWF 2-4pm
- TuThu 2-5pm
- Or by individual appointment at this link
Handouts and other items
- Overleaf LaTeX tutorial: this tutorial is a nice introduction for beginners. It focuses on using Overleaf, which allows you to write LaTeX documents online without installing any software.
- Overleaf Primer by Kristin Heysse (Macalester). Another tutorial on writing in LaTeX on Overleaf.
- Detexify: this is an absurdly useful tool that allows you to sketch a symbol and quickly learn the LaTeX command for it.
Problem sets will be posted here. All problem sets are due at 10pm, via Gradescope.
Exams and solutions will be posted here after they are given.