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 | Written Homework to be Collected | Problems to be presented in class |
| M, Jan 16 | 18: Intro to Rings | Section 18: Mon, Jan 23 6,12,16,18,19,23,33,40,48,50, Suppl Problem 1 |
F, Jan 20 28,32,37,38,41,42,52,54,55,56, Suppl Problem 2 |
| W, Jan 18 | 18: Rings and Fields continued | ||
| F, Jan 20 | Student Presentations | Read section 19 for Monday | |
| M, Jan 23 | 19: Integral Domains | Section 19: Due W, Feb 1 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 W, Feb 1 2,4,10,12,14,23,24 |
M, Jan 30 20: 6,8,19,27,28,29 |
| F, Jan 27 | 20: Euler's Theorem and Congruences | ||
| M, Jan 30 | Student Presentations | ||
| W, Feb 1 | 21: Field of Quotients of an Int Dom | Section 21: Due W,Feb 8 2,4,11 |
M Feb 6 1,6,9 |
| F, Feb 3 | 22: Rings of Polynomials | Section 22: Due W, Feb 8 4,6,8,11,15,20,22,23 |
M, Feb 6 17,24,25,27-31 |
| M, Feb 6 | Student Presentations | ||
| W, Feb 8 | 23: Factorization of Polynomials over Fields |
Section 23: Due M, Feb 13 (not collected, but do them to study for the exam) 4,6,9,12,14,18,20,25,26,28 |
M, Feb 13 8,14,16,17,20,26,29,31,34,35,36,37, stuff from the end of the handout on section 23 |
| F, Feb 10 | 23 continued | ||
| M, Feb 13 | Student Presentations. | Take-home part of Exam I is handed out. Due Fri, Feb 17 | |
| W, Feb 15 | Exam I: in-class part | ||
| F, Feb 17 | 26: Ideals and Factor Rings | Section 26: Due F, Feb 24 3,4,9,10,12,13,17,21,22,30 |
W, Feb 22 8,14-16,18,20,23,29,31,34,35,37 |
| M, Feb 20 | 26 continued | ||
| W, Feb 22 | Student Presentations. | ||
| F, Feb 24 | 27: Prime and Maximal Ideals | Section 27: Due F, March 2 8,10,11,14-19,24,28,31 |
W, Feb 29 6,25,26,27,29,30,32-37, 2 problems from class: i) One direction of a proof, ii) + and * tables for GF(4) |
| M, Feb 27 | 27 continued | ||
| W, Feb 29 | Student Presentation | ||
| F, March 2 | 45: UFD's | Due: F, March 23 45: 2,3,9,10,14,21,23,25 |
M, March 26 22,24,26,27,28,29,30,31,33,34 |
| M, March 19 | 45 continued | ||
| W, March 21 | Section 45 finished, start section 46 | Due F, March 30 46: 2,3,6,7,8,13,15,17 |
W, March 28 9,10,12,14,16,18,20,21,22,23,24 |
| F, March 23 | Finish section 46: Euclidean Domains | ||
| M, March 26 | Student presentation sections 45 and 46 | ||
| W, March 28 | Student presentation sections 45 and 46 | ||
| F, March 30 | Section 47: Gaussian Integers | W, Apr 4 4-8, 13,15,17,18 + Exercises at the end of the handout |
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| M, Apr 2 | Section 47 continued | ||
| W, Apr 4 | Student Presentations of problems, section 47 | Take Home Exam distributed, due Monday Apr 9 | |
| F, Apr 6 | Exam II, in-class part | Read Section 29 | |
| M, Apr 10 | 29: Extension Fields, Alg and Trans Elements | Due W, Apr 19 29: 2,5, 7,8 (for 7 and 8 replace the phrase "be prepared" with "do"),10,12,14,16,17,18,19,23,27,30,31 |
Monday, April 17 29: 29,32-37 |
| W, Apr 12 | 29 continued (simple extensions) | ||
| F, Apr 14 | 30: Vector Spaces | Due W, Apr 19 30: 2,4,5,7,9,10,15,16,20,21,23 |
Monday, April 17 30: 24-27 |
| M, Apr 16 | Student presentations (sections 29, 30) | ||
| W, Apr 18 | 31: Algebraic Extensions | Due W, Apr 25 (again replace "be prepared" with "do") 31: 3,4,10,12,14-19,22,23,28,35 |
Monday, April 23 31: 24-27, 29-33,36,37 |
| F, Apr 20 | 31: Algebraically Closed Fields | ||
| M, Apr 23 | Student Presentations | ||
| W, Apr 25 | 33: Finite Fields | Due M, Apr 30 33: 1,2,4,6-10 |
F, May 4 Problem set on Finite Fields |
| F, Apr 27 | 33: Finite Fields | ||
| M, Apr 30 | 32: Geometric Constructions | F, May 4 1-4 |
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| W, May 2 | Special Lecture on Coding Theory | Take home portion of final exam handed out | |
| F, May 4 | Student Presentations | Final Exam at 8:30 am, Monday May 7 |