Instructor: Ben Morris
email: lastname at math dot ucdavis dot edu
URL: http://www.math.ucdavis.edu/~morris/
Office hours: Monday 4:10pm-5:10pm and Friday 1:50-2:50pm or by appointment. My office is 2105 MSB.
Discussion section: Tuesdays 3:10-4:00, in 205 Olson.Text: Biggs N. Discrete Mathematics, Oxford Univ Press, Oxford, second edition, 2002.
Description: This course is intended to provide the basics in
Abstract Algebra with an emphasis on applications.
We shall study Modular Arithmetic (chap. 13), the theory of Groups
(chap. 20), and Rings and Fields (chaps. 22 and 23).
Then we proceed to study applications to Error-Correcting Codes (chap
24), and additional topics if time permits.
MIDTERM INFORMATION: The midterm will be Wednesday February
13
from 3:10 - 4:00PM in Cruess 107.
The midterm will cover sections 13.1 - 13.3, 20.1 - 20.9, 22.1 - 22.8,
and 23.1 - 23.2 of the text.
FINAL EXAM INFORMATION: The final exam will be Friday March
22
from 1:00 - 3:00PM in Cruess 107.
The final exam will cover sections 13.1 - 13.3, 20.1 - 20.9, 22.1 - 22.8, 23.1 - 23.4, 23.9, and 24.1 - 24.6 of the text.
HOMEWORK 2 (due Tuesday January 22): 20.2 (2,3,4), 20.3 (3,4,5), 20.4 (2), 20.6 (1,2,3), 20.7 (3), 20.9 (2)
HOMEWORK 3 (due Tuesday January 29): 22.1 (1,2,3), 22.2 (1), 22.3 (1,3), 22.4 (1,4), 22.5 (1,2,3,5)
HOMEWORK 4 (due Tuesday February 5): 22.6 (1,2,3,4), 22.7 (3,6), 22.8 (1,2,3), 23.1 (1,2), 23.2 (1,4)
HOMEWORK 5 (due Tuesday February 19): 23.3 (1,2,4), 23.4
(1,2,3)