Math 5310: Intro to Modern Algebra, Fall 2015

Meeting: MWF 12:55-13:45, LCB 222 (3 credit hours)

Instructor: Stefan Patrikis, office JWB 309, email (my last name)

Office hours: Wednesday 2-3, Thursday 2:45-3:45

Textbook: "Algebra" by Michael Artin, 2nd Edition, ISBN 978-0132413770 (hardcover), 978-8120343290 (paperback). A copy will be kept on reserve at Marriott Library.

Course content: The course will serve as an introduction to group theory and abstract linear algebra, two subjects bound together by the fundamental example of matrix groups. We will cover chapters 2-8 of Artin's "Algebra" and some supplementary topics.

Prerequisites: "C" or better in Math 3210 and one of Math 3220, Math 4400, or Math 4510. Less formally, you should be comfortable with basic linear algebra and reading and writing proofs. To that end, you may want to review chapter 1 of Artin and some introductory material on set theory (eg, chapter 1 of "Foundations of Analysis" by J.L. Taylor).

Coursework and Grading: Weekly homework (due in class), two in-class midterms, and a comprehensive final exam. Each element--homework, midterms, final-- will count for 1/3 in the final weighting of grades. Late homework will not be accepted, but the lowest two homework grades will be dropped. You are encouraged to collaborate on the homework, but you must write your own solutions and acknowledge at the top of your submitted work your collaborators or anyone else from whom you sought help.

Communications: Homework assignments and other course materials will be posted below, on this page. I will send out course emails via CIS's automatic system.

ADA Statement: The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, sensory, cognitive, systemic, learning, and psychiatric disabilities. Please contact me at the beginning of the term to discuss any such accommodation for the course.

Exams: All exams take place in the usual classroom.

Problems to turn in: Due date: References and assigned reading:
Artin 1.1.12, 1.2.2 (Review Assignment) Friday 8/28 Artin 1.1-1.2
HW2, HW2 Comments Friday 9/4 Artin 2.1-2.4, 2.9. Please read Artin 1.5
HW3, HW3 Comments Friday 9/11 Artin 2.4, 2.5, 2.8
HW4, HW4 Comments Friday 9/18 Artin 2.5, 2.6, 2.8, 2.11, 2.12
HW5, HW5 Comments Friday 9/25 Artin 3.1, 3.2
Revise the midterm problems: please redo any lettered part (2a, eg) on which you did not receive full credit. Monday 9/28 Some writing suggestions, to bear in mind now and in your future assignments.
HW6 Friday 10/2 Artin 3.3, 3.4, 3.5
HW7 Monday 10/5
HW8 Friday 10/9 Artin 4.1, 4.2, 4.3, 4.4
HW9 Monday 10/19 Artin 2.10, 4.7
HW10 Friday 10/23 Artin 4.4, 4.5, 4.6, 4.7
HW11 Friday 10/30 Artin 4.6, 5.1
Redo the second midterm Monday 11/9
HW12 Friday 11/13 Artin 6.7-6.11
HW13 Monday 11/23 Artin 7.1-7.4
HW14 Monday 11/30 Artin 7.7
HW15 Monday 12/7 Artin 8.1-8.4