**MATH 110B Algebra (Honors), Lecture 1**
**Instructor:** Christian Haesemeyer
**Office: MS 6304**
**phone:** 310-825-3364
**Office hours:**M:10 W:2 F:10

**Teaching Assistant:**Justin Shih

**Time and Location:**
MWF 9am, MS 5118 (Lectures)*and* R 9am, MS 5118 (Discussion section).

**Syllabus and assignments:**
Week 1: Rings, homomorphisms, ideals. (Dummit & Foote 7.1, 7.3, 7.4 and Elman 19, 20.)
Homework 1, due Friday January 20: Elman Lectures, Exercises 19.18.: 3,8,9,10,11,12. Exercises 20.19.: 4,5.
Week 2: Zorn's lemma, localization. (Dummit & Foote, Appendix 1, 7.5. and Elman 21,22.)
Homework 2, due Friday January 27: Elman Lectures, Exercises 21.17: 4,5,6,7. Exercises 22.3: 2,3.
Weeks 3 and 4: Domains. (Dummit & Foote, Chapter 8 and Elman 23,25.)
Homework 3, due Friday February 3: Elman Lectures, Exercises 23.21: 1,2,5,6.
Weeks 5 and 6: Polynomial rings and group rings. (Dummit & Foote 7.2., Chapter 9 and Elman 27-29.)
Homework 4, due Friday February 10: Elman Lectures, Exercises 27.18: 1,4,5,7,9,10.
Homework 5, due Friday February 17: Elman Lectures, Exercises 28.12.: 6,7. Exercises 30.17.: 2,3,6,7.
Week 7: Modules. (Dummit & Foote 10.1., 10.2. and Elman 30.)
Homework 6, due Friday February 24: Elman Lectures, Exercises 30.17.: 1. Exercises 31.12.: 2,3,4,5.
Homework 7, due Friday March 2: Elman Lectures, Exercises 31.12.: 6,8,9. Exercises 32.8.: 2,3.
Week 8: Free modules. Noetherian rings and modules. (Dummit & Foote 10.3, 15.1 and Elman 31-33.
Homework 8, due Friday March 9: Elman Lectures, Exercises 33.13.: 1,2. Exercises 36.23.: 1,2,4,6.
Weeks 9 and 10: Modules over PID's. (Dummit & Foote, Chapter 12 and Elman 35-37.)

**Midterm Exam:** Friday, February 3rd in class.
**Final Exam:** Wednesday, March 21st, 11:30-2:30. The take home part is here.
Finals week office hours: Monday, 10-12.

**Literature:**
We are going to use: Dummit and Foote, *Abstract Algebra (3rd ed.)*, Wiley 2003; and Prof. R. Elman's *Lectures in Abstract Agebra* available for download here.

**Grading Policy:**

There will be 8 homework assignments, to be handed in in class on Fridays. Late homework will not be accepted; the lowest score will be dropped. There will also be one midterm exam,
and a final exam. The total score for the course will be based on the better of the following two: homework will account for 40%, the midterm for 20% and the final will contribute the remaining 40%. Or, homework 20%, and the final 80%. This class will use the myUCLA gradebook facility.

Requests for a regrading will only be considered within 14 calendar days of the due date of the original assignment, and no later than the day before the final. All such requests *must* be directed to the instructor; the TA is not allowed to make changes to grades.