MATH 110A Algebra (Honors), Lecture 1
Instructor: Christian Haesemeyer
Office: MS 6304
Office hours:M:3-4 W:2-3 F:1-2
Teaching Assistant:Justin Shih
Time and Location:
MWF 10am, MS 6229 (Lectures)and R 10am, MS 6201 (Discussion section).
Syllabus and assignments:
Week 1: Preliminaries: Integers, induction, and equivalence relations.
Homework 1, due Friday October 7: Elman Lectures, Exercises 8.5.: 1,2,3,4,7,8,11,13,14,15. Exercises 9.10.: 1,4,5,6.
Week 2: Groups: definition and examples. Subgroups.
Homework 2, due Friday October 14: Elman Lectures, Exercises 10.14: 1,2,3,4,5,6.
Week 3: Homomorphisms. Cosets. Normal subgroups.
Homework 3, due Friday October 21: Elman Lectures, Exercises 11.9: 3,6,14,15,16.
Week 4: The symmetric group (Dummit & Foote 1.3., Elman 18 through 18.8. but you may skip 18.5.). Automorphisms of groups (see Elman, page 60).
Homework 4, due Friday October 28: Elman lectures, Exercises 11.9.: 9,10,11,12 Exercises 12.11.: 1,5,6.
Week 5: Group actions (Dummit & Foote 4.1. through 4.3., Elman 15 and 16).
Homework 5, due Friday November 4: Elman lectures, Exercises 15.9.: 1,2. Exercises 16.26.: 2,6,7,8.
Week 6: Group actions, ctd.
Homework 6, due Monday November 14: Elman lectures, Exercises 16.26.: 5,11,12,13. Exercises 17.11.: 1,2,3.
Week 7: Sylow theorems.
Homework 7, due Monday November 21: Elman lectures, Exercises 17.11.: 4,5,8,11,12. Exercises 14.13.: 1,4.
Week 8: Composition series. (Dummit & Foote 3.4., Elman 14.)
Homework 8, due Monday November 28: Elman lectures, Exercises 17.11.: 9. Dummit & Foote, Exercises 5.2.: 1 (a) and (b) only, 6,9.
Week 9: Abelian groups. (Dummit & Foote 5.2.)
Week 10: Symmetric groups, revisited.
Midterm Exam: Friday, October 28 in class.
Final Exam: Thursday, December 8, 11:30-2:30. Take-home part is here. Due Monday December 5th by noon. I will be in my office that Monday 10-12. Late exams will not be accepted.
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. My own notes from another algebra class (as source for the material about finite abelian groups) can be found here.
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.