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General Information, Syllabus, Assessment and Test Dates
Undergraduate Catalog Description: Elementary properties of the integers, sets and mappings, groups, rings, integral domains, division rings and fields. Fall semester. Pre-requisite: Math 3120.
Objectives
- Develop a solid first understanding of three major algebraic concepts, namely groups, rings and fields, and the methods used to perform calculations in them
- Further develop the ability to correctly understand and interpret definitions and theorems (particularly in an abstract setting), and to write clear and correct proofs
- Prepare for more advanced study of algebra and other areas of mathematics that use algebra
Syllabus
Part 1: Integers and Equivalence Relations
Part 2: Groups: Chapters 1 - 11
Part 3: Rings: Chapters 12 - 18
Part 4: Fields: Chapters 19 - 21
Assessment
| 1. | Homework | 25% |
| 2. | Tests | 45% |
| 3. | Final Examination | 30% |
Test Schedule
Test 1: Wednesday, September 23
Test 2: Friday, October 23
Test 3: Monday, November 23
Final: Monday, December 14, at 8 a.m.