MAT3233
Modern Algebra
[MAT3233]. Modern Algebra. (3-0) 3 Credit Hours.
Prerequisite: [MAT3013]. Topics will include the development of groups, integral domains, fields, and number systems, including the complex numbers. Divisibility, congruences, primes, perfect numbers, and some other problems of number theory will be considered. Generally offered: Fall, Spring, Summer. Differential Tuition: $150.
| Date | Sections | Topics | Prerequisite Skills | Student learning outcomes |
|---|---|---|---|---|
| Example | Chapter 1 | Preliminaries | Example | Example |
| Example | Chapter 2 | The Integers | Example | Example |
| Example | Chapter 3 | Groups | Example | Example |
| Example | Chapter 4 | Cyclic Groups | Example | Example |
| Example | Chapter 5 | Permutation Groups | Example | Example |
| Example | Chapter 6 | Cosets and Lagrange’s Theorem | Example | Example |
| Example | Chapter 9 | Isomorphisms | Example | Example |
| Example | Chapter 10 | Normal Subgroups and Factor Groups | Example | Example |
| Example | Chapter 11 | Homomorphisms | Example | Example |
| Example | Chapter 13 | The Structure of Groups | Example | Example |
| Example | Chapter 16 | Rings | Example | Example |
| Example | Chapter 17 | Polynomials | Example | Example |
| Example | Chapter 18 | Integral Domains | Example | Example |
