This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Modern Algebra I -- Fall 2011

MTH 450 - 3 - Modern Algebra. Structure of the abstract mathematical systems: fields, rings, groups, with illustrations and applications from number theory. (PR: MTH 230 ; REC: MTH 300)

• Time and Place: 5:00 - 6:15 pm TR at 513 Smith Hall.
• Instructor: Peter Saveliev (call me Peter)
• Office: 742D Smith Hall
• Office Hours: MW 5:00 - 6:15, T 3:30 - 4:30, or by appointment
• Office Phone: x4639
• E-mail: saveliev@marshall.edu
• Class Web-Page: math01.com
• Prerequisites: the ability to understand and write proofs.
• Text: Contemporary Abstract Algebra by Gallian
• Goals: good familiarity with groups, ability to work in the definition-theorem-proof format, some "mathematical maturity".
• Evaluation: 2 tests, final exam, weekly homework, quizzes.
• homework + quizzes: 40%
• 2 exams: 15% each
• final exam: 30%
• Letter Grades: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60

## Chapter 0

Review Linear algebra: course

• Lectures: Chapter 0
• Practice exercises: 7,9-11,13,14,18-21,46-49
• Problems to be submitted: 10,20

## Chapter 1

• Lectures: Chapter 1
• Practice exercises: 1-6,14-17,22
• Problems to be submitted: 16

## Chapter 2

• Lectures: Chapter 2
• Practice exercises: 1-5,9,11,14,15,17,18,20
• Problems to be submitted: 14,18
• Practice exercises: 22-26,29,30,33-36
• Problems to be submitted: For #16 Sec. 1, quantitatively describe a symmetry of the strip.

## Chapter 3

• Lectures: Chapter 3
• Practice exercises: 1,2,4,6,7,10,14,16,17,19,21-23,29,30,31,33,35,45,46-49,52,53 10
• Problems to be submitted:

## Chapter 4

• Lectures: Chapter 4
• Practice exercises: 1,4-7,11-14,17-19,22,23,30-36 30
• Problems to be submitted: 30 and 33

## Chapter 5

• Lectures: Chapter 5
• Practice exercises: 1-18 10
• Problems to be submitted: in a finite group, |ab|=|ba|.
• Practice exercises: 24-26,34,35,38-40,46,54,55 46
• Problems to be submitted: 40 and 46

## Chapter 6

• Lectures: Chapter 6
• Practice exercises: 1-7
• Problems to be submitted: 4
• Practice exercises: 10,22-25,27,28,30,37 10
• Problems to be submitted:

## Chapter 7

• Lectures: Chapter 7
• Practice exercises: 1-3,7,8,12-15,18-22 22
• Problems to be submitted:
• Practice exercises: 24-31,33,38 28
• Problems to be submitted:

## Chapter 8

• Lectures: Chapter 8
• Practice exercises: 1-17,23-26,31,32 32
• Problems to be submitted:

## Chapter 9

• Lectures: Chapter 9
• Practice exercises: 1-13,18,20,21 18
• Problems to be submitted:
• Practice exercises: 26,27,30-34,44-48,57,59 30
• Problems to be submitted:

## Chapter 10

• Lectures: Chapter 10
• Practice exercises: 5-19,24-27 24
• Problems to be submitted:
• Practice exercises: 34,35,37-39,44-46,52,53 44
• Problems to be submitted:

## Chapter 11

• Lectures: Chapter 11
• Practice exercises: 1-17,21,24,25,28-31
• Problems to be submitted:

## Chapter 12

• Lectures: Chapter 12
• Practice exercises: 1-18,43-50
• Problems to be submitted:

## Final exam

Thursday, Dec. 8, 4:30-6:30 same room.

Sample: Group theory: final exam

The transcribed lectures will appear here: Group theory: course.