MAT3233

From Department of Mathematics at UTSA
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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