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Math 5285H (Fundamental Structures of Algebra I), Fall 2009
The goal of this first semester is to introduce modern concepts in
abstract algebra. Topics include:
- Review of linear algebra
- Vector spaces
- Group theory
- Specific examples including various groups of symmetries
Course Information
Here is the course syllabus.
The course textbook is Artin's "Algebra." (Thankfully, it does not
publish a new edition every year.)
News
Office hours on Wednesdays have permanently moved to 2:30-3:30pm.
Office hours on Mondays remain at 1:00pm-2:00pm.
Homework and exams
All problems are from Artin's Algebra.
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Due date |
Problems |
| Homework 1 |
Fri, Sep 25 |
1.1: 5, 6, 10, 12, 17, 18
1.2: 4, 5, 8, 13
1.3: 3, 8, 11
1.4: 1, 5
1.5: 1, 3
1.M: 3(a), 7
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| Homework 2 |
Fri, Oct 9 |
2.1: 5
2.2: 5, 11, 12
2.3: 1, 12
2.4: 4, 18
2.5: 6
2.6: 3, 5
2.7: 5, 7
2.8: 2
2.9: 2
2.10: 9
2.M: 4
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Midterm 1
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Friday, October 16
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Available here.
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| Homework 3 |
Fri, Nov 13 |
3.1: 1
3.2: 11
3.3: 2, 7
3.4: 3
3.6: 1
3.M: 5
4.1: 6
4.2: 1, 2
4.3: 3,8
4.4: 8
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Midterm 2
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Friday, November 20
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Available here.
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| Homework 4 |
Wed, Dec 9 |
4.5: 4
4.6: 1
4.7: 6
4.8: 12
4.M: 2
5.2: 1, 4
5.3: 2 (Note: The text uses D4 where we've used D8.)
5.4: 11
5.5: 8
5.6: 1, 5
5.7: 5
5.8: 7
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Final
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Wednesday, December 16
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Available here.
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Contact information
If you have questions or comments, please contact me. My contact
information is as follows:
- By email: tlawson (at) math.umn.edu
- By phone: 5-6802
- By foot: Vincent Hall 323
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