Info Page

MAT 512 Spring 2022 Course Information

512 Course Policy

Homework Assignments:

Homework 1: Exercises 1.3, 1.4, and 1.5

Announcements are posted below the course schedule. Most recent announcements at the top.

Tentative Schedule

Mon 1/24 1. Introduction Week 1: Read pages 1-20

Wed 1/26 2. Division Theorem

Mon 1/31 3. Greatest Common Divisor, Euclidean algorithm Week2: Read pages 21-40.
Homework 1 Due Today.

Wed 2/2 4. Bezout's Theorem and Applications

Mon 2/7 5. Equivalence Relations, Congruences Week 3: Read through page 60. Homework 2 Due Today.

Wed 2/9 6. Solving Congruences

Mon 2/14 7. Unique Factorization Week 4: Read through page 80. Homework 3 Due Today

Wed 2/16 8. Rings: Definition and Examples

Mon 2/21 9. Rings: Units Week 5: Read through page 100.
We will skip the section on "fruit rings."
Homework 4 Due Today

Wed 2/23 10. Rings: Irreducible elements, Solutions to x^2 + y^2 = p

Mon 2/28 11. EXAM 1 EXAM 1: Covers in-class material and reading through chapter 5. Week 6: Exam 1 TODAY

Wed 3/2 12. Congruence Rings, Units, Integral domain

Mon 3/7 13. Roots of 1, Euler's Theorem and Fermat's Theorem Week 7: Homework 5 Due Today

Wed 3/9 14. More on Euler phi-function

Mon 3/14 Spring Break, No Class

Wed 3/16 Spring Break, No Class

Mon 3/21 15. Polynomial rings, Factoring polynomials Week 8

Wed 3/23 16. Minimal polynomial, Field extensions

Mon 3/28 17. Quadratics; Cubics Week 9: HW 6 Due Today

Wed 3/30 18. Cubics; Quartics

Mon 4/4 19. More on cubics. Week 10: HW 7 Due Today

Wed 4/6 20. EXAM 2: Covers in-class material and reading through chapter 9. Exam 2 Tentatively Scheduled for Today

Mon 4/11 21. Gauss's Lemma Week 11: HW 8 Due Today (or Wednesday if you like)

Wed 4/13 22. Polynomials over finite fields

Mon 4/18 23. Unique factorization for polynomials Week 12: HW 9 Due Today

Wed 4/20 24. Quadratics over finite fields

Mon 4/25 25. Week 13 HW 10 Due Today

Wed 4/27 26.

Mon 5/2 27. Week 14 HW 11 Due Today

Wed 5/4 28.

Tue 5/17 FINAL EXAM Final Exam

ANNOUNCEMENTS:

March 20: Webpage updated today!

February 13: Webpage updated today.

January 24: Welcome to class.

Mon 1/24	1.	Introduction	Week 1: Read pages 1-20
Wed 1/26	2.	Division Theorem
Mon 1/31	3.	Greatest Common Divisor, Euclidean algorithm	Week2: Read pages 21-40. Homework 1 Due Today.
Wed 2/2	4.	Bezout's Theorem and Applications
Mon 2/7	5.	Equivalence Relations, Congruences	Week 3: Read through page 60. Homework 2 Due Today.
Wed 2/9	6.	Solving Congruences
Mon 2/14	7.	Unique Factorization	Week 4: Read through page 80. Homework 3 Due Today
Wed 2/16	8.	Rings: Definition and Examples
Mon 2/21	9.	Rings: Units	Week 5: Read through page 100. We will skip the section on "fruit rings." Homework 4 Due Today
Wed 2/23	10.	Rings: Irreducible elements, Solutions to x^2 + y^2 = p
Mon 2/28	11.	EXAM 1 EXAM 1: Covers in-class material and reading through chapter 5.	Week 6: Exam 1 TODAY
Wed 3/2	12.	Congruence Rings, Units, Integral domain
Mon 3/7	13.	Roots of 1, Euler's Theorem and Fermat's Theorem	Week 7: Homework 5 Due Today
Wed 3/9	14.	More on Euler phi-function
Mon 3/14		Spring Break, No Class
Wed 3/16		Spring Break, No Class
Mon 3/21	15.	Polynomial rings, Factoring polynomials	Week 8
Wed 3/23	16.	Minimal polynomial, Field extensions
Mon 3/28	17.	Quadratics; Cubics	Week 9: HW 6 Due Today
Wed 3/30	18.	Cubics; Quartics
Mon 4/4	19.	More on cubics.	Week 10: HW 7 Due Today
Wed 4/6	20.	EXAM 2: Covers in-class material and reading through chapter 9.	Exam 2 Tentatively Scheduled for Today
Mon 4/11	21.	Gauss's Lemma	Week 11: HW 8 Due Today (or Wednesday if you like)
Wed 4/13	22.	Polynomials over finite fields
Mon 4/18	23.	Unique factorization for polynomials	Week 12: HW 9 Due Today
Wed 4/20	24.	Quadratics over finite fields
Mon 4/25	25.		Week 13 HW 10 Due Today
Wed 4/27	26.
Mon 5/2	27.		Week 14 HW 11 Due Today
Wed 5/4	28.
Tue 5/17		FINAL EXAM	Final Exam