Course Calendar and Homework Assignments for Math 435, Spring 2018
| Date | Section/Topic | Reading Assignment | Problems to be Presented in Class | Written Hmw |
| M, Jan 13 | 18: Intro Rings | Read Section 18 | Section 18: Due F, Jan 17 6,12,18,23,27,28,32,33,37,38,40-42,44,48,52,56 |
Due M, Jan 20 Problems on Section 18. |
| W, Jan 15 | 18: Rings and Fields continued | |||
| F, Jan 17 | Student Presentations | Read Section 19 | ||
| WEEK 2 | ||||
| M, Jan 20 | 19: Integral Domains (modified class schedule: 9:50-10:30) | Read Section 20 | Section 19: Due F, Jan 24 Last Page of handout, 2,4,14,15-17,23,25,28,30 |
Section 19: Due M, Jan 27 18,26,29 |
| W, Jan 22 | 20: Fermat's and Euler's Theorems | Section 20: Due F, Jan 24 Last Page of handout, 6,8-10,23,24 |
Section 20: Due M, Jan 27 2,27,28. Calling it "Wilson's Thm" is misleading. Find out who first stated it and when. |
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| F, Jan 24 | Student Presentations | Read Section 21 |
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| WEEK 3 | ||||
| M, Jan 27 | 21: Field of Quotients of an Int Dom | Read Section 22 | Section 21: Due F, Jan 31 1，6，11 |
Section 21: Due M, Feb 3 2,4 (provide explanations for False statements) |
| W, Jan 29 | 22: Rings of Polynomials | Section 22: Due F, Jan 31 4,6,8,11,22-25,28,30, plus 2 exercises from the handout. |
Section 22: Due M, Feb 3 16,20,27 |
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| F, Jan 31 | Student Presentations | Read Section 23 |
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| WEEK 4 | ||||
| M, Feb 3 | 23: Factorization of Polynomials | Section 23: Due F, Feb 7 4,8,9,12,14,16-18,20,25,26,28,29,31,34-37. Correction in 25f: F[x] --> F(x) |
No Written Hmw | |
| W, Feb 5 | 23 continued | Take-home exam distributed |
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| F, Feb 7 | Student Presentations | |||
| WEEK 5 | ||||
| M, Feb 10 | Exam I | Read Section 26 | ||
| W, Feb 12 | 26: Ideals and Factor Rings | Section 26: Due F, Feb 14 3,4,8-16,21-23, 26,29-31, 34,35 |
Section 26: Due M, Feb 17 17,18,20,24,25,37 |
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| F, Feb 14 | Student Presentations | Read Section 27 | ||
| WEEK 6 | ||||
| M, Feb 17 | 27: Prime and Maximal Ideals | Section 27: Due F, Feb 21 8-14,16,24-32,34,35,37 |
Due M, Feb 24 Problems on Section 27. |
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| W, Feb 19 | 27 continued | |||
| F, Feb 21 | Student Presentations | Read Section 45 | ||
| WEEK 7 | ||||
| M, Feb 24 | 45: UFD's | Section 45: Due M, March 18 1-9, 14, 18-22,24,27-29,31,34 |
Section 45: Due W, March 18 (now March 25) 10,25,26,30 |
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| W, Feb 26 | 45 continued | Read Section 46 | ||
| F, Feb 28 | 46: Euclidean Domains | Section 46: Due W, March 18 1,2,7-13,17,20,21 |
Section 46: Due W, March 18 (now March 25) 15,16,22,23 |
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SPRING BREAK (shift the entire schedule and all deadlines by 1 week) |
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| WEEK 8 | ||||
| M, Mar 16 (23) | Student presentations, sections 27, 45 | |||
| W, Mar 18 (25) | Student presentations, sections 45,46 | Read PSP 1-9 | ||
| F, Mar 20 (27) | PSP: pages 1-9 |
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Hmw 7: Due Wed, March 25 (now Apr 1) | |
| WEEK 9 | ||||
| M, Mar 23 (30) | PSP: Show that Z[i] is a ED. | |||
| W, Mar 25 (Apr 1) | PSP: Pages 9-14. Some anomalies to discuss | |||
| F, Mar 27 (Apr 3) | PSP: Pages 14-30. Resolution. | Hmw8: Due Wed, Apr 1 (Apr 8): Tasks 25,26 | ||
| WEEK 10 | ||||
| M, Mar 30 Apr 6) | PSP: Pages 31-35. Conclusion | |||
| W, Apr 1 (Apr 8) | Back to modern times: Section 47 | |||
| F, Apr 3 (Apr 10) | Exam II | Read Section 29 | ||
| WEEK 11 | ||||
| M, Apr 6 (Apr 13) | 29: Extension Fields, Alg & Trans Elts | Section 29: Due M, Apr 13 (Apr 20) 2,5,6,13-23,27,29,31,32,34 |
Hmw 9: Due Wed Apr 15 (Apr 22) | |
| W, Apr 8 (Apr 15) | 29 continued (simple extensions) |
Read Section 30 | ||
| F, Apr 10 (Apr 17) | 30: Vector Spaces | Section 30: Due M, Apr 13 (Apr 20) 2,4,6,8,10-16,20,24,25,27 |
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| WEEK 12 | ||||
| M, Apr 13 (Apr 20) | Presentations on sections 29, 30 | Read Section 31 | ||
| W, Apr 15 (Apr 22) | 31: Algebraic Extensions | Section 31: Due M, Apr 20 (Apr 27) 3,4,10,14-19,22,24-26,28-33,35-37 |
Hmw 10: Due Wed Apr 22 (Apr 29) | |
| F, Apr 17 (Apr 24) | 31: Algebraically Closed Fields | |||
| WEEK 13 | ||||
| M, Apr 20 (Apr 27) | Student Presentations on section 31 | Read Section 33 | ||
| W, Apr 22 (Apr 29) | 33: Finite Fields | Section 33: Due F, May 1 (May 8) 1-10, 14, and Problems 6, 7 in this set. |
Hmw 11: Due Wed, Apr 29 (May 6). Problems 2,3,4,5, 8abc in Problem Set on FF. | |
| F, Apr 24 (May 1) | 33: Finite Fields | Read Section 32 | ||
| WEEK 14 | ||||
| M, Apr 27 (May 4) | 32: Geometric Constructions |
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Section 32: Due F, May 1 (May 8): 1-4 | |
| W, Apr 29 (May 6) | Special Lecture | |||
| F, May 1 (May 8) | Student Presentations |
Final Exam: Tue, May 5 (12), 1:30 pm | ||