**Summer II – 2017**

**July 3 – August
11 **

**Office: **MCS 235

**Telephone: **617**-**353-8203

**E-mail: **tkohl@bu.edu** (**the** **best way to reach me!)

**Office Hours: **M, W: 4-5 and by appointment.

**Text: ***Discreet Mathematics (2 ^{ndh}
Ed.)*

**Remarks: ** The main
prerequisites for this course are the topics covered in MA 293, namely
combinatorics, set theory, and logic, as well as basic probability and number
theory. In this course we shall discuss the fundamentals of group theory and
ring/field theory with a view towards applications.

**Outline of topics to be
covered:**

*(Note: Not all sections in a
given chapter are covered.)*

Chapter
13 Modular Arithmetic

Chapter
20 Groups

Chapter
21 Groups of Permutations

Chapter
22 Rings, Fields and Polynomials

Chapter
23 Finite Fields

Chapter
24 Error Correcting Codes

Chapter
25 Generating Functions (time permitting)

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Exams: During the semester there will be two exams worth
100 points each as well as a final exam worth 200 points.

Homework: During the term, I will generally assign homework on
a daily basis. This homework is your primary means of learning the material,
even more so than the lectures. Indeed, it is only by actually working out the
solutions to problems that one really learns this material. Not doing homework
is a *bad *idea and will result in a
poor performance in the course.

Additionally, there will
be, throughout the course of the semester, 5 turn-in homework assignments, each
worth 20 points, for a total possible maximum of 100 points *if you complete each perfectly.* Each
turn-in assignment will generally be assigned at the end of each week and be
due on the following Monday.

Grading: Your grade in the course will be based on the
combined sum of 5 turn-in homework assignments, as well as the two exams and final
exam, out of a maximum possible total of 500 points.

.

Cheating: I consider
cheating and plagiarism to be very serious offenses, and any cases of it will
merit action by the University Academic Standards Committee.

Important Dates:

Tuesday July 4^{th} – Holiday

Friday July 7^{th} – Substitute class due to the
holiday on July 4^{th}.

Thursday July 13 - Exam 1

Thursday July 27 - Exam 2

Thursday Aug 10 - Final Exam

The last lecture will be Wednesday August 9.

Web Page: There is a web
page for the course where you can find the homework assignments listed, as well
as the syllabus and other materials that will be made available during the
course.

The URL is: http://math.bu.edu/people/tkohl/teaching/current/

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