Mathematics 412
Calendar
Week 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17
| Week | Date | Topic | Homework (Due at the beginning of class) |
|---|---|---|---|
| 1 | Wednesday 1/18/12 |
Course Orientation
Introduction to Sage Chapter 1. Preliminaries. |
|
| Friday 1/20/12 |
Chapter 1. Preliminaries. |
||
| 2 | Monday 1/23/12 |
Chapter 1. Preliminaries. | |
| Wednesday 1/25/12 |
Chapter 2. The Integers. |
Chapter 1 Sage Assignment
http://sfa.sagenb.org/home/pub/48 | |
| Friday 1/27/12 |
Chapter 2. The Integers. |
Exercises 8*, 9*, 17, 18, 22*, 24 (b, d)*, 25: pp. 18-21.
Exercises marked with (*) are to be written up in your homework journal. | |
| 3 | Monday 1/30/12 |
Chapter 2. The Integers. | |
| Wednesday 2/1/12 |
Chapter 3. Groups. |
Chapter 2 Sage Assignment
http://sfa.sagenb.org/home/pub/47/ |
|
| Friday 2/3/12 |
Chapter 3. Groups. | Exercises 2*, 3*, 14*, 15 (a, b), 16*, 20*; pp. 32-34. | |
| 4 | Monday 2/6/12 |
Chapter 3. Groups. | |
| Wednesday 2/8/12 |
Chapter 4. Cyclic Groups. |
Chapter 3 Sage Assignment
http://sfa.sagenb.org/home/pub/49 |
|
| Friday 2/10/12 |
Chapter 4. Cyclic Groups. | Exercises 1, 6, 7*, 16, 24*, 32*, 44*; pp. 51-57. | |
| 5 | Monday 2/13/12 |
Chapter 4. Cyclic Groups. | |
| Wednesday 2/15/12 |
Chapter 5. Permutation Groups. |
Chapter 4 Sage Assignment
http://sfa.sagenb.org/home/pub/50 |
|
| Friday 2/17/12 |
Chapter 5. Permutation Groups. | Exercises 3, 5, 6, 13*, 32*; pp. 71-74. | |
| 6 | Monday 2/20/12 |
Exam I - Chapters 1-4 | |
| Wednesday 2/22/12 |
Chapter 5. Permutation Groups. | ||
| Friday 2/24/12 |
Chapter 6. Cosets and Lagrange's Theorem. |
Chapter 5 Sage Assignment
http://sfa.sagenb.org/home/pub/51 | |
| 7 | Monday 2/27/12 |
Chapter 6. Cosets and Lagrange's Theorem. | Exercises 1, 2, 3, 6, 12*, 14, 22*, 26*; pp. 89-93. |
| Wednesday 2/29/12 |
Chapter 6. Cosets and Lagrange's Theorem. | ||
| Friday 3/2/12 |
Chapter 9. Isomorphisms. |
Chapter 6 Sage Assignment
http://sfa.sagenb.org/home/pub/52 | |
| 8 | Monday 3/5/12 |
Chapter 9. Isomorphisms. | Exercises 2, 5, 11*, 12*, 13, 17*, 18*; pp. 100-102. |
| Wednesday 3/7/12 |
Chapter 9. Isomorphisms. | ||
| Friday 3/9/12 |
Chapter 10. Normal Subgroups and Factor Groups. |
Chapter 9 Sage Assignment
http://sfa.sagenb.org/home/pub/53 Only complete Exercise 1 (a). You may omit the material on internal direct products. | |
| 9 | Monday 3/19/12 |
Chapter 10. Normal Subgroups and Factor Groups. | Exercises 1*, 5, 7*, 9*, 13*, 16, 25, 28*; pp. 154-158. |
| Wednesday 3/21/12 |
Chapter 10. Normal Subgroups and Factor Groups. | ||
| Friday 3/23/12 |
Chapter 11. Homomorphisms. | Exam II Due | |
| 10 | Monday 3/26/12 |
Chapter 11. Homomorphisms. |
|
| Wednesday 3/28/12 |
Chapter 11. Homomorphisms. |
Chapter 10 Sage Assignment
http://sfa.sagenb.org/home/pub/54 Only do Exercises 1-4. Chapter 11 Sage Assignment http://sfa.sagenb.org/home/pub/55 Only do Exercise 1. |
|
| Friday 3/30/12 |
Chapter 16. Rings. | ||
| 11 | Monday 4/2/12 |
Chapter 16. Rings. |
Exercises 1, 4*, 6*, 13*; pp. 166-168. Exercises 2, 3*, 9*, 16*; pp. 175-178. |
| Wednesday 4/4/12 |
Chapter 16. Rings. | ||
| Friday 4/6/12 |
Easter Recess - No class | ||
| 12 | Monday 4/9/12 |
Easter Recess - No class | |
| Wednesday 4/11/12 |
Chapter 17. Polynomials. | Exercises 1, 4, 8*, 12*, 16*, 27*, 34*; pp. 261-266. | |
| Friday 4/13/12 |
MAA Sectional Meeting - No Class |
Chapter 16 Sage Assignment
http://sfa.sagenb.org/home/pub/56 | |
| 13 | Monday 4/16/12 |
Chapter 17. Polynomials. |
|
| Wednesday 4/18/12 |
Chapter 17. Polynomials. |
Chapter 17 Sage Assignment
http://sfa.sagenb.org/home/pub/57 Exercise 1 only. |
|
| Friday 4/20/12 |
Chapter 17. Polynomials. | ||
| 14 | Monday 4/23/12 |
Chapter 18. Integral Domains. |
Exercises 3, 4 (b, c), 5*, 9, 10, 11, 25*; pp. 282-286.
|
| Wednesday 4/25/12 |
Chapter 18. Integral Domains.
Chapter 20. Vector Spaces. |
||
| Friday 4/27/12 |
Chapter 20. Vector Spaces. | Exam III Due | |
| 15 | Monday 4/30/12 |
Chapter 21. Fields. | |
| Wednesday 5/2/12 |
Chapter 21. Fields. | ||
| Friday 5/4/12 |
Chapter 21. Fields. |
Exercises 7*, 10(a)*; pp. 301-304.
Exercises 2*, 3*; pp. 329-331. Exercises 1, 2, 22*; pp. 353-355. | |
| 16 | Wednesday 5/9/12 |
Final Exam at 8-10 AM |
Spring 2012
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Last modified: April 24, 2012