3124/13997 Modern Algebra - Spring 2010

[ Syllabus | Assignments | Exams ]

Syllabus

Instructor: Henning S. Mortveit Email: henning@vt.edu
Office I: 1111 RBXV, Corporate Research Center Phone I: (231-5327)
Office II: 419 McBryde Hall Phone II: -
Class hours: MWF 9:05-9:55AM Room: McBryde 232
Prerequisite: Math 3034 or Math 3434
Office hours: MW 10:00AM-11:00PM in Office II - Also by appointment in Office I/II

Text/Syllabus: John Durbin, Modern Algebra, 6th edition, John Wiley and Sons. We will cover selected material from chapters 1-6.

Course goals: Learn basic aspects of mathematical structures such as groups, rings and fields. Increase fluency in the reading and writing of mathematical proofs and arguments.

Exams: There will be two in-class exams tentatively scheduled for Wednesday February 24 and Wednesday April 7. The two-hour final exam (Section 09M) is on May 8 from 1:05PM to 3:05PM. The final exam will take place in McBryde 232 unless stated otherwise. If you cannot take an exam at the scheduled time, please let me know as soon as possible and before the exam. A make-up exam will be given for reasons that in my judgment are acceptable.

Homework: The course has 12 assignments. Generally assignments will be announced each Friday, and will be due in class the following Wednesday. Changes to this will be announced in class. Late homework will only be accepted if handed in the first class following the due date, but only for half the credit. Very important: The assignments are an integral part of this course. The 12 assignments should be considered a minimal effort, and working through additional problems is strongly encouraged.

Attendance: Will be taken, and will be kept for Mathematics Department records. Attendance may be used to adjust the final grade.

Grading: Is on a curve. However, 90% will be at least an A-, 80% will be at least a B-,70% will be at least a C-, and 60% will be at least a D-. Each assignment is worth 10 points, each in-class exam 40 points, and the final exam 50 points.

Honor system: The University Honor System is in effect for assignments and exams (see http://www.honorsystem.vt.edu). Discussion of class topics among students is encouraged, but the solutions to assignments that you hand in must be your own. All exams are closed-book, closed-notes.

Students with special needs: Students with disabilities, special needs or special circumstances should meet with the instructor during the first week of classes to discuss accommodations.

General Notes: Falling behind in this course is dangerous, so turn in assignments on time, come to class prepared and take advantage of the office hours. (Also: read Professor Bud Brown's hints for success - available at http://www.math.vt.edu/people/brown/hints.html.)

Supplementary literature:

Exams

Solution notes and comments will be posted here.

In-class exam 1: Wednesday, February 24

A PDF copy of the exam with answers can be found here. (Password on syllabus.)

In-class exam 2: Wednesday, April 7

A PDF copy of the exam with answers can be found here. (Password on syllabus.)

Final exam: Friday, May 8

Assignments

Assignments, solution notes and comments will be posted here.

Assignment 1: (Due Wednesday, January 27)

Problems: (10 points) Bonus problem: (1 point) Notes: The comment regarding a typo in Monday's lecture is for homework 2.

Solution: Homework 1

Assignment 2: (Due Wednesday, February 3)

Problems: (10 points) Notes: In problem 2.21 there is a typo in 6th edition of the course book. Where it says "but beta is not onto" should (of course) say "but alpha is not onto". As always, you have to justify all your answers for full credit.

Solution: Homework 2

Assignment 3: (Due Wednesday, February 10)

Problems: (10 points) Bonus problems: (2 points) Notes: Solution: Homework 3

Assignment 4: (Due Wednesday, February 17)

Problems: (10 points) Bonus problem: (1 point) Notes: Solution: Homework 4

Assignment 5: (Due Wednesday, March 3rd)

Problems: (10 points) Bonus problem: (2 points) Notes: Solution: Homework 5

Assignment 6: (Due Wednesday, March 17th)

Problems: (10 points) Bonus problem: (2 points) Notes: Solution: Homework 6

Assignment 7: (Due Wednesday, March 24th)

Problems: (10 points) Bonus problem: (2 points) Notes: Solution: Homework 7

Assignment 8: (Due Wednesday, March 31st)

Problems: (10 points) Bonus problem: (2 points) Notes: Solution: Homework 8

Assignment 9: (Due Wednesday, April 14th)

Problems: (10 points) Notes: Solution: Homework 9

Assignment 10: (Due Wednesday, April 21st)

Problems: (10 points) Bonus problems: (3 points) Notes: Solution: Homework 10

Assignment 11: (Due Wednesday, April 28th)

Problems: (10 points) Bonus problem: (2 points) Notes: Solution: Homework 11

Assignment 12: (Due Monday, May 2nd)

Problems: (10 points) Bonus problem: (2 points) Notes: Solution: Homework 12


Mon Dec 21 11:04:11 EST 2009