Math 330 Fall 2018

Section 28003,  11:00-11:50 MWF Addams Hall 310
Office Hours: M W 11-12
Lawrence Ein , 409 SEO, 3-2372, ein@uic.edu
Department of Mathematics, Statistics, and Computer Science
This page is http://www.math.uic.edu/~ein/math517.html/

Description

517 Abstract Algebra
4 Hours.
Prerequisite: Math 215 or equivalent, or permission of the instructor.
Text: Joseph Gallian, Contempory Abstrac Algebra (9th edition)

This is the firstd basic undergraduate abstract algebra course. The course is designed to cover the basic topics in algebra. In this course, we'll explore basic objects in abstract algebra such as groups, rings and fields.

Office hours: MWF 10-11, F 2-3 and by appointment.

Requirements: There will be weekly homework,count two midterm examinations and a final examination. The homework will count for 20% of your grade and each midterm will count for 20% of your grade. The final will count for 40% of your grade. Homework will be due on Wednesday. You may collaborate on the homework problems, but you must write your own solutions. The first midterm will be on October 10 (Wednesday). The second midterm will be on Nov 16 (Friday).

Homework

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Problems with "" will be graded by the gradeer.

HOMEWORK 1. Due Sep. 5

Ch. 0:: 2, 4, "7", "8", "14", 15, "20", 21, "27", 30, 39, 57, 58

HOMEWORK 2. Due Sep. 12

Ch. 1: 2, 3, "5", 6, 10, "16", 17, "22"

Ch. 2: 1, 3, 6, "25", 32

HOMEWORK 3, Due Sep. 19

Ch.2: 37, "41", "44", 46, 47, 49

Ch. 3: 2, 6, 10, 11, "13", 14, 16, 19, 20, 27, "34", 38, 44, "54", "59", 64, 70, 71, 78

HOMEWORK 4, Due Sep. 26

Ch. 4: 2, 3, 5, 7, 15, "17", 21, 25, 27, 34, 38, 40, "48", 49, 51, 64, 68, 77

Ch. 5: 1, 2, 3, 6, 8, 11, 15, 16, 17, 22, 23, 26, 28, "30", 39, 43, 44, 46, 51, 52, "57", 61, 65

HOMEWORK 5. Due Oct. 3

Ch. 6: 2, 3, 7, 9, 12, 17, 28, 31, 36, 38, 42, 50, "55", "57", 59, 62, 66

Ch. 7: 3, 6, 10, 11, "12", "15", 19, 23, 26

HOMEWORK 6. Due Oct. 10

Ch. 7: "33", "44", 51, 57, 59, 63

Ch. 8: 2, 4, 5, 6, 14, 17, 18, 20, "23", 26, 38, 41, 47, "53", 61, 64, 68, 75, 78

HOMEWORK 7. Due Oct. 17

Ch. 9: "5", 7, "9", 11, 12, 15, 19, 26, 30, 33, 34, 37, 38, 39, "71", 72

Ch. 10: 1, 5, 9, 15, 20, "24"

HOMEWORK 8, Due Oct. 24

Ch. 10: "29", 34, 35, 37, "41", "42", 44, 51, 56, 58, 63, 66

Ch. 11: 4, 5, "6", 15, 18, 19, 22, 23, 27

HOMEWORK 9. Due Oct. 31

Ch. 11: 32, 34, 36, 37, 38

Ch. 12: 1, 6, 17, 19, "21", 23, "24", 43, 48, "49, "54"

HOMEWORK 10. Nov. 7

Ch.13: 6, 7, 12, 14, "16", "20", 28, "30", 35, "41", 44, 49, "49", 61

Ch.14: 6, 8, 14, "16", 22. "26". 30, 47, 61, 63, 64, "71"

HOMEWORK 12. Nov 14

Ch. 15: "8", 13, 24, 32, 44, 46, 48, "52", 59, 60, "65"

Ch. 16: 6, 11, 12, "17", "19", "23", 26, 31,34, 41, 51, 57, 58, 61

Homework 13. Nov. 28

Ch.17: 3, 8, 11, 12, 16, "18", 22, "23", 31, 34, 36,

Ch. 18: 1, 5, 6, 8, 13, "17", "21", 26, 32, "38", 39, 43,

Homework 14. Dec 5

Ch. 19: 9, "12", 20, "24", 29, 33, 35,

Ch. 20: 1, 4, 5, 15, 22, 24, 34, 38, 43