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Modern Algebra I -- Fall 2011
From Mathematics Is A Science
Revision as of 20:42, 15 November 2011 by imported>WikiSysop (→Test 2)
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.
- Grade Breakdown:
- 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
See also Course policy.
Contents
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
Test 1
- Chapters 0-4
- Sample: Group theory: test 1
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:
Test 2
- Chapters 5-8
- Sample: Group theory: test 2
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.