Homework Assignments:
Announcements are posted below the course schedule. Most recent announcements at the top.
Tentative Schedule
ANNOUNCEMENTS:
April 29: The schedule above was updated today.
April 23: The (ever-tentative) schedule above was updated today.
April 13: The schedule above was updated today.
March 27: The schedule above was updated today.
March 27: Please read the new course policy, which has been posted above.
March 14: HW 6 is due on Monday, March 30. Please send me an electronic copy before 4pm on that day.
March 14: We we hold optional on-line class meetings during our extended spring break, on Monday, March 23 and on Wednesday, March 25. We will not cover any new material. Time will be used for going over any questions from the midterm exam and going over any questions from the currently assigned reading. A primary objective of the optional classes is to help anyone hesitant about on-line classes to gain some experience before we move into new material. Please send an email by Friday, March 20, if you plan to participate in either of the optional classes.
March 14: The course meeting on April 15 is still canceled; we will not meet on that day, on-line or in-person. We will still hold the make up class, scheduled for Monday, May 11.
March 14: Regular updates will be made to the schedule above, as the on-line component of our course progresses. An updated course policy may be posted, pending receipt of guidance from the University administration.
Mon 1/27 1. Introduction Week 1: Read pages 1-20 Wed 1/29 2. Divisibility Results, Division Theorem Mon 2/3 3. Greatest Common Divisors, Euclidean Algorithm Week2: Read pages 21-40. Homework 1 Due Today. Wed 2/5 4. Bezout's Theorem and Applications Mon 2/10 5. Modular arithmetic, Solving congruences Week 3: Read pages 41-60. Homework 2 Due Today. Wed 2/12 6. Congruences and Introductory Problem Mon 2/17 7. Infinitude of Primes, Fundamental Theorem of Arithmetic Week 4: Read pages 61-80. Homework 3 Due Today Wed 2/19 8. Greatest Common Divisor and Least Common Multiple, Ring Introduction Mon 2/24 9. Rings, Units, Congruence Rings Week 5: Read pages 81-100, ("Fruit Rings" Optional). Homework 4 Due Today Wed 2/26 10. Rings, Units, Congruence Rings Mon 3/2 11. EXAM 1: Covers in-class material and reading through Chapter 6, (excluding Fruit Rings). Week 6: Read pages 100-120. (We will omit 1-2 sections, TBD.) Wed 3/4 12. Roots of One, Euler phi-function, Fermat/Euler Theorems Mon 3/9 13. Roots of One, Euler phi-function, Fermat/Euler Theorems Week 7: Read pages 121-140. Homework 5 Due Today Wed 3/11 14. Polynomial Ring, Factors, Roots Mon 3/16 Spring Break, No Class Wed 3/18 Spring Break, No Class Mon 3/23 15. Second Spring Break: Optional Class Wed 3/25 16. Second Spring Break: Optional Class Mon 3/30 17. Polynomials, Roots, Minimal Polynomial, Field Extension Week 8: Homework 6 Due Today. Wed 4/1 18. Quadratics, Cubics Please Carefully Read Pages 141-153 BEFORE Class Mon 4/6 19. Cubics, Quartics Week 9: Homework 7 Due Today Wed 4/8 20. No Class Today--Work on Midterm Project Mon 4/13 21. Fundamental Theorem of Arithmetic, Gauss's Lemma Week 10: Midterm Project DUE TODAY!! Wed 4/15 22. No Class Meeting. Time re-scheduled for Monday, May 11 Read through chapter 11 Mon 4/20 23. Eisenstein's Criterion, Polynomials over a finite field Week 11 Wed 4/22 24. Unique Factorization and Bezout for Polynomials. Homework 8 Due Today. Mon 4/27 25. Chapter 13: Square Roots in Finite Fields, Quadratic Field Extensions Wed 4/29 26. Chapter 14: Polynomial Congruences Homework 9 Due Today. Mon 5/4 27. Continue 14.1 and 14.2 Polynomial Congruence Rings Week 13 Wed 5/6 28. Chapter 15: Norms and Unique Factorization. Non-example. Homework 10 Due Today. Mon 5/11 29. Make Up Class Make Up Class Tue 5/12 FINAL EXAM Final Exam