Fall 2012

Instructor: Karl Schwede

Text: *Numbers, Groups & Codes* by J.F. Humphreys & M.Y.Prest, 2nd edition

Syllabus: CLICK HERE

Office hours: Wednesday 3:30-4:30, Thursday 10:00-11:00 in McAllister 318C.

Worksheet from September 17th.

Worksheet Solutions from September 17th.

Quiz 2 solutions, from September 24th.

Worksheet #4 and Solutions The quiz on 10/31 will be related to this worksheet.

Worksheet #5 from October 24th and Solutions. The quiz on 11/7 will be related to this worksheet.

Additionally, turn in your group paper on Exercise 12 from 1.2.

Additionally, turn in your group project from Exercise 8 from last week.

Additionally, turn in your group project from last week.

A. Explain in words how you would prove that a given function in injective.

B. Explain in words how you would prove that a given function in surjective.

C. Give an explanation in words why bijective functions always have inverse.

A. Give an example of an abstract equivalence relation on the set of colleges and universities in the United States. Describe the equivalence classes.

B. Give an example of a partial order on the set of 2x2 matrices.

From Section 4.3. Please do #1, 3, 7

From Section 5.1. Please do #1, 2, 4, 5

From Section 5.1: Please do #6, 7, 9

From Section 5.2: Please do #1, 2, 3