MATHEMATICS 110BH INFORMATION

 

Professor: Richard Elman
Office: MS 5328
Lecture Room: MS 5118 on MWF 2
Office Hours: MW 3 F 4 or by appointment. (Subject to change.) There will also be an open discussion session with the class on W 4. We will meet in MS 5118 We will not do any homework problems. What we do from week to week during this additional voluntary meeting will vary and depend on the needs of the class. It should be very useful to those who attend (and shorten study time).
TA: Viraj Navkal: Discussion Section R 2 in MS 5118
Viraj Navkal's Webpage for the class
Book:

Lectures in Algebra: Preliminary Version

Optional Text Dummit and Foote: Abstract Algebra, 3rd Ed.

Material: This is the second quarter of a year long honors course in abstract algebra. The material is given in a different order than the regular sequence. This quarter we will study rings and modules. The main themes will be polynomial rings and rings that satisfy the analog of the Fundamental Theorem of Arithmetic. We also will prove the Fundamental Theorem of Finitely Generated Abelian Groups in a more general form. This will be via the study of modules (systems looking like vector spaces but the scalars come from a ring that is not necessarily a field). This more general theorem will allow us to study matrices much more deeply (e.g., Jordan canonical form.)
Exams:

Two Midterms and one Final:

Midterm 1: TBA

Midterm 2: A take home exam

Final: 8:00-11:00 Thursday 21 March 13;

No makeup exams

Homework:

Assigned Mondays and due the next week on Thursday in Discussion Section

Homework is returned in Discussion Section.

To learn the material you must do homework.

Expect to be told to redo (*) homework problems that you do incorrectly.

Quiz Section: The TA will go over material done in lecture, homework, and additional related material.
Grading:

Best of the following total weighted scores:

final plus takehome midterm and homework (final = 55%)

final plus two midterms and homework (final = 40%)

determines grade. Homework counts 20% of grade.

Homework

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