MAT401, Sping-Summer 2017


MAT401 - Spring-Summer 2017
Lecturer: Jonathan Korman Office: BA6236 email: jkorman at math dot toronto dot edu (do not send email to any other accounts) Office Hours: Wed and Fri 12:15-1pm in BA6216.		Teaching Assistant: Debanjana Kundu Office: HU1012 email:dkundu at math dot toronto dot edu

General Info

Lectures: Wednesday 10-11am and Friday 10-12am in BA 1170.
Tutorials: Wednesday 11am-12pm in BA 2175.
Office hours begin 2nd week of classes.
The required textbook for this course is Galois Theory (2nd Edition) by Joseph Rotman. Publisher: Springer-Verlag. Should be availlable at the UT bookstore.

We will closely follow the textbook, including all of the exercises. The goal is to reach Abel-Ruffini Theorem: quintic polynomial equations are not solvable by radicals (roughly: there is no general formula for the roots of degree 5 polyomials). If we have extra time we will discuss Galois groups. The textbook will be supplemented by additional material and exercises.

Before classes begin I suggest reviewing MAT301.

Course Syllabus (tentative):

Rings.
Homomorphisms and Ideals.
Quotient Rings.
Polynomial Rings over Fields.
Prime Ideals and Maximal Ideals.
Finite Fields.
Irreducible Polynomials.
Classical Formulas.
Splitting Fields.
Solvability by Radicals.
Galois groups (time permitting).

The Course Grade will be calculated as follows:

25% Homework
30% Term Test
45% Final Exam

There will be 5 or 6 homework assignments. Assignments are to be handed in on assigned dates at the beginning of class.
Please staple your homeworks. Unstapled homeworks will be penalized 2 points.
NO late homework will be accepted.
Important: There will be no make up term test! If you have a valid reason for missing the term test, the corresponding portion of the final exam will count as your term test grade.

Exam dates:

Term Test: Fri, July 7, 10am-12pm.
Final Exam: Tue, Aug 15, 7-10pm.

Please read the information in the two links below about academic misconduct: Plagiarism, Misconduct.

Course Calendar (tentative)

# Week of ...

Summer Semester:

1 May 16 *

2 May 23 *

3 May 30 *

4 June 6 *

5 June 13 *

6 June 20 *

7 June 27 Summer break.

8 July 7 Midterm.

9 July 11 *

10 July 18 *

11 July 25 *

12 Aug 1 *

13 Aug 8 *

Aug Final Exam.

#	Week of ...
Summer Semester:
1	May 16	*
2	May 23	*
3	May 30	*
4	June 6	*
5	June 13	*
6	June 20	*
7	June 27	Summer break.
8	July 7	Midterm.
9	July 11	*
10	July 18	*
11	July 25	*
12	Aug 1	*
13	Aug 8	*
	Aug	Final Exam.