WELCOME TO MAT 313   Abstract Algebra Fall 2018

Time and place:

Lecture: TuTh 11:30AM-12:50PM in Earth and Space 181

Introduction: This is an advanced mathematically rigorous course with complete proofs.  Topics covered may include:

1. Groups: Symmetry Groups, Finite groups, Cyclic groups and Permutation groups; Subgroups, especially normal subgroups, cosets and factor groups; Group homomorphisms; The fundamental theorem of Abelian groups

2. Rings: examples of rings, Integral domains, Ideals and Factor rings, Ring homomorphisms, Polynomials and factorization, Unique factorization domains

3. Fields: Vector spaces and expansion fields, Algebraic and transcendental extensions, Finite fields, Grometric constructions

  Text Book: Comtemporary Abstract Algebra   ( 9th edition) by Joseph A. Gallian, Houghton Mifflin,  (c) 2017

 Assistant:  Mads Villadsen

Office Hours:Monday 11:30AM to 12:30PM Math Tower S240A.

                   Friday 12PM to 14PM in the Math Learning Center

                   Or by appointment

Homework: Homework will be assigned every week.  Doing the homework is a fundamental part of the course work.  Problems should be handed in in your lecture.

1st assignment: Page 23, Problems 4, 6, 10, 14, 30, 38 due Sept. 6

2nd assignment: Page 37, Problems 2, 16; page 54, problems 4, 8, 10, 16, 20, 34 due Sept. 13

3rd assignment: Page 68, Problems 6, 10, 36; page 85, problems 22, 30, 36; page 112, problems 2, 28 due Sept. 20

4th assignment: Page 132, Problems 2, 4, 12, 14, 20, 44, 60, 64 also find the non-abelian group with the smallest number of elements.  Write its multiplication table. due Sept. 27

5th assignment: Page 150, problems 4,10,18, 20, 26, 42, 46 due October 4th

6th assignment: page 167, problems 12, 18, 26, 34, 36, 38, 42, 72  due October 11

No homework the week of October 15.  Exam on October 16 instead.

7th assignment: page 187, problems 4, 6, 14, 16, 22, 26, 32, 38, 48, 62 due October 25

8th assignment: page 205, problems 4, 6, 10, 12, 16, 18, 24, 28, 32, 42,  due November 1

9th assignment: page 220, problems 2, 6, 10, 12, 18, 22, 26, 28, 32 due November 8

10th assignment: page 232, problems 2, 6, 20, 30, 32, 50; page 243, problem 6, 8, 16, 42 due November 15

11th assignment: page 256, problems 4, 10, 14, 16, 18, 28, 46, 58, 64, 66 due November 27

12th assignment: page 270, prob;ems 6, 14, 18, 38, 44, 66; page 283, problems 14, 32, 48, 56 due December 4

Grading Policy: The overall numerical grade will be computed by the formula   20% Homework + 30% Midterm Exam+ 50% Final Exam   

  Midterm Exam: October 16 in class

  Final Exam: Wednesday, December 19, 11:15am-1:45PM

  FINAL EXAM REVIEW: Exam Review

Disabilities:   If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support > Services or call (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the Evacuation Guide for People with Physical Disabilities.

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