Course Calendar and Hmw Assignments for Math 435
It is expected that you read all the sections to be covered BEFORE the class and come to class prepared to discuss the topics.
Check this page regularly for updates.
| Date | Section/Topic/Reading Assignment | Problems to be Collected | Problems to be presented in class |
| M, Jan 16 | 18: Intro to Rings | Section 18: Due F, Jan 20 6,12,16,18,19,23,33,40,48,50 |
F, Jan 20 28,32,37,38,41,42,52,54,55,56 |
| W, Jan 18 | 18: Rings and Fields | ||
| F, Jan 20 | Student Presentations | Read section 19 for Monday | |
| M, Jan 23 | 19: Integral Domains | Section 19: Due M, Jan 30 4,17,18,20,29 |
M, Jan 30 19: 12,14,23,25,26 |
| W, Jan 25 | 19: Characteristic of A Ring 20: Fermat's Little Theorem |
Section 20: Due M, Jan 30 2,4,10,12,14,23,24,27 |
M, Jan 30 6,8,19,28,29 |
| F, Jan 27 | 20: 20: Euler's Theorem and Congruences | ||
| M, Jan 30 | Student Presentations | Read section 21 before Wed | |
| W, Feb 1 | 21: Field of Quotients of an Int Dom | Section 21: Due M,Feb 6 2,4,11 |
M Feb 6 6,9 |
| F, Feb 3 | 22: Rings of Polynomials | Section 22: Due M, Feb 6 4,6,8,11,15,20,22,23 |
M, Feb 6 17,24,25,27,29-31 |
| M, Feb 6 | Student Presentations | Read Section 23 | |
| W, Feb 8 | 23: Factorization of Polynomials over Fields |
Due M, Feb 13 (collected?, may be not) 4,6,9,12,14,18,20,25,26 |
M, Feb 13 8,16,17,29,31,34,35,36,37 |
| F, Feb 10 | 23 continued | ||
| M, Feb 13 | Student Presentations. | Take-home part of Exam 1 distributed. Due Wed | |
| W, Feb 15 | Exam I: in-class part | Read Section 26 | |
| F, Feb 17 | 26: Ideals and Factor Rings | Due: F, Feb 24 3,4,9,10,12-15,17,21,22,30 |
F, Feb 24 8,16,18,20,23,29,31,34,35,37 |
| Class cancelled | |||
| W, Feb 22 | 26 continued | ||
| F, Feb 24 | Student Presentations | Read Section 27 | |
| M, Feb 27 | 27: Prime and Maximal Ideals | Due: F, March 3 4,6,8,14-19,24,28,31 |
F, March 3 25-27,29,30,32,34-37 |
| W, March 1 | 27 Continued | ||
| F, March 3 | Student Presentations | Read Section 45 |
Spring Break |
| M, March 20 | 45: UFD's | Due: M, March 27 45: 2,3,9,10,16,17,21,23,25,26,27,29 |
W, March 29 24,28,30,31,33,34 |
| W, March 22 | 45 continued | ||
| F, March 24 | 46: Euclidean Domains | Due: F, March 31 46: 2,3,6,7,8,13,15,17 |
W, March 29 16,20,21,22 |
| M, March 27 | 46 continued | ||
| W, March 29 | Student Presentations | ||
| F, March 31 | Student Presentations | ||
| M, April 3 | 47: Gaussian Integers | 47: All problems (1-18, not collected) | |
| W, April 5 | 47 continued | Take Home exam handed out | |
| F, April 7 | Read Section 29 | Exam 2 In-class Part | |
| M, April 10 | 29: Extension Fields, Algebraic and Transcendental Elements | Due M, Apr 17 29: 2,5, 7,8 (for 7 and 8 replace the phrase "be prepared" with "do"),10,12,14,16,17,18,23,25,27,30,31,37 |
Monday, April 17 29: 29,32-36 |
| W, April 12 | 29 Continued (Simple Extensions) | ||
| F, April 14 | 30: Vector Spaces | Due M, Apr 17 30: 2,3,4,5,7,9,10,15,16,20,21,23 |
Monday, April 17 30: 24-27 |
| M, April 17 | Student Presentations | Read Section 31 for Wed | |
| W, Apr 19 | 31: Algebraic Extensions | Due M, Apr 24 31: 3,4,8,10,12,14-19,22,23,27,28,35 |
Monday, April 24 31: 24-26, 29-34 |
| F, Apr 21 | 31: Algebraically Closed Fields | ||
| M, Apr 24 | Student Presentations | Read Section 33 for Wednesday | |
| W, Apr 26 | 33: Finite Fields | Due M, May 1 33: 1,2,4,6-11,13,14 |
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| F, Apr 26 | 33: More on Finite Fields | ||
| M, May 1 | Special Lecture on Coding Theory by Ben Johnson'06. |
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| W, May 3 | 32: Geometric Constructions | Friday, May 5 32: 1-9 |
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| F, May 5 | Student Presentations | Take-home portion of final handed out |