** Course Description:**

Math 542 is a second course in algebra, a central area of math. This course is necessary for those who wish to go to grad school in math.

The three core topics are 1) modules and general commutative algebra, 2) the abstract theory of matrices and 3) Galois Theory.

** Text: ** *Abstract Algebra * by Dummit and Foote

** Syllabus:** The syllabus is available at the following link: Math542-Syllabus

** Office Hours: **

Monday 1:00PM - 2:00 PM in Van Vleck 319

** Homework: ** I will assign homework from the textbook each Friday and due in class the following Friday.

Homework must be handed in at start of class. Late assignments will not be accepted.

** Homework 1 (Due 02/07/20) **

Our convention is that all rings are commutative with 1 (unless otherwise specified). All subrings must contain 1. Any homomorphism must send 1 to 1.

Section 7.1: 1,2,4,7,8. Section 7.3: 2,4,5,6,7,10,18

**Honors:** Section 7.1: 13, 14. Section 7.3 : 25, 26, 29.

** Homework 2 (Due 02/14/20) **

Section 10.1: 4,5,8,9. Section 10.2: 2,3,4,5,6

**Honors:** Section 10.1: 23. Section 10.2 : 11,14.

** Homework 3 (Due 02/21/20) **

Section 8.2: 3,4,5. Section 9.2: 1,2, 8, 9, 11

**Honors:** Section 8.2: 7. Section 9.2 : 12.

** Homework 4 (Due 02/28/20) **

Section 12.1: 1,2,3,5,8,11,13,14

**Honors:** Section 12.1: 17,18,19

** Homework 5 (Due 03/6/20) **

Section 8.3: 2,4,5,6,7

**Honors:** Section 8.3: 8, 10

** Homework 6 (Due 03/13/20) **

Study for Midterm!

**Topics Covered:**

**Grading scheme:**

There will be one midterm and a final exam.

Homework 30%

Midterm 35%

Final exam 35%

Midterm: 03/11/20 at 5:00-7:00pm. Room: SocSci 5106

Final: 05/03/2020 at 2:45-4:45pm. Room TBD.