Math 321: Abstract Algebra (Fall, 2012)

Here is the syllabus (as a pdf. If you can't read pdfs, let me know immediately!)

Homework 1A (due, e-mailed to me, by Tuesday, Aug 28, 5pm):

--reading = Gallian preface, pp. 3-7 (until just above example 4), and pp 12-15 (from the "Mathematical Induction" heading to the "Equivalence Relations" heading)

--Respond to the following questions (in complete sentences or paragraphs):

--1. Why is the Well-Ordering Principle given as an axiom?

--2. How is the "Division Algorithm" related to the algorithm you learned for long division in school? (Compare and contrast.)

--3. What is meant by the term "Linear Combination" on page 5?

--4. Why are there two principles of mathematical induction?

--come up with a couple of explicit questions or comments on what you found interesting or confusing. Write them down.

Due Wed, Aug 29: 2A (by the start of class) and 1B (at the end)

--Note on 1B

Due Wed, Sep 5: 1C and 3A (by the start of class), and 2B (at the end).

--Notes on my availability Sep 4-10.

Due Mon, Sep 10: 2C and 4A (by the start of class), and 3B (at the end).

Due Wed, Sep 12: 3C and 5A (by the start of class), and 4B (at the end).

Due Mon, Sep 17: 4C and 6A (by the start of class), and 5B (at the end).

Due Wed, Sep 19: 5C and 7A (by the start of class), and 6B (at the end).

Due Mon, Sep 24: 6C and 8A (by the start of class), and 7B (at the end).

Due Wed, Sep 26: 7C and 9A (by the start of class), and 8B (at the end).

Due Mon, Oct 1: 8C and 10A (by the start of class), and 9B (at the end).

Due Wed, Oct 3: 9C and 11A (by the start of class), and 10B (at the end).

Due TUES, Oct 9: 10C and 12A (by the start of class), and 11B (at the end).

Wed, Oct 10: Exam #1

Due Mon, Oct 15: 11C and 13A (by the start of class), and 12B (at the end).

- This week, I will be holding office hour Thursday from 2-2:50, rather than the usual 12-1.

Due Wed, Oct 17: 12C and 14A (by the start of class), and 13B (at the end).

Due Mon, Oct 22: 13C and 15A (by the start of class), and 14B (at the end).

Due Wed, Oct 24: 14C and 16A (by the start of class), and 15B (at the end).

Mon, Oct 29: nothing (because of the storm)

Due Wed, Oct 31: 15C and 17A (by the start of class), and 16B (at the end).

Due Mon, Nov 5: 16C and 18A (by the start of class), and 17B (at the end).

Due Wed, Nov 7: 17C and 19A (by the start of class), and 18B (at the end).

Mon, Nov 12: Exam #2

Due Wed, Nov 14: 18C and 20A (by the start of class), and 19B (at the end).

Due Mon, Nov 19 19C and 21A (by the start of class), and 20B (at the end).

Due Mon, Nov 26: 20C and 22A (by the start of class), and 21B (at the end).

Due Wed, Nov 28: 21C and 23A (by the start of class), and 22B (at the end).

Due Mon, Dec 3: 22C and 24A (by the start of class), and 23B (at the end).

Due Wed, Dec 5: 23C (by the start of class).

--Wednesday's class will have a more-or-less traditional format, much as the first one did on August 27. There will be some review material, some discussion of possible future directions, and evaluations at the end.

Note: We will not have class on Monday, Dec 10. Indeed, I will be out of town from Thursday, Dec 6 through Tuesday, Dec 11.

Wed, Dec 12: Final Exam, 1:30-4:15pm.