MATH 301/601

Math 301/601, Sec 02, Abstract Algebra I, Spring 2023

Here are Solutions to Exam I.
Here are Solutions to Exam II.

Assignments:

This will be updated regularly.

Due 5/11. Read Ch. 19, do problems A.1, B.1,2, E.1,2, H.1,4,7. (601 students only: try problems in F.)
Due 5/9. Read Ch. 18. Do problems A.4 B.3,5 C.3,6 D.4 F.1,2
Due 5/4. Do problems Ch 17, H.3,4. I.4,5. J.3,5. Read Ch. 18, do problm A.1,4.
Due 5/2. Read Ch. 17, try problem A.4, and read problem C.1.
Due 4/27 (no class 4/25). Ch 15 do problems A.1,2,5 B.2, C.1,2,3 E.1,2,3,6. Read Ch. 16 and do problems A.1, C.1-3, E.1-3. Challenge problem: I.1-5.
Due 4/20. Handwrite corrections to all exams to submit in class.
Due 3/30. Ch. 14 do problems A. 3, D.1(a), 2, 6, E. 1,5, F.1. Read Ch. 15.
Due 3/28. Read Ch 14. Do problems A.1,2 B.3-5, C. 2,8, G.1
Due 3/23. Read Ch. 13, and do problems A.1,3. B.1,2. C.1,5. D.1,2,3 E.1,2.
Due 3/21. Read Ch 12 and do problems A.1, B.2,4 C.2, D.1.
Due 3/16. Read Ch 12. Do problems in Ch 11, D. 4, 5. Also:
1) Find all subgroups of a cyclic group with 90 elements (e.g. Z_90, with operation addition modulo 90).
2) Show that if p is prime, then for every integer j from 1 to p-1, there is an integer k with j*k modulo p equal to 1. Conclude that {1,2...,p-1} is a group with operation "multiplication modulo p".
Due 3/14. Read Ch. 11 do problems A. 1,3 B. 3,4 C. 1,2 D. 1,4,5.
Due 3/9. Do problems Appendix B, 1,5,8,12,13. Ch 10, do problems E. 1,2. (You can also try working through G.1 to G.5. I will present solutions in class.)
Due 3/7. Read Ch. 10 and do problems B. 2,6, C. 3,5, D. 1,2. Review Appendix B (consider problems 1,5,8,12,13.)
Due 3/2. Study for exam I.
Due 2/28. Do problems in Ch 9, A.1,2,3, C.1,2,4 D.2, E.1,2.
Due 2/23. Do problems in Ch 8. B.1, C.1-3, F.1,2, G.4, H.1,2.
Due 2/16. Read Ch. 8. Do problems A.1c,2c,3c B.1,4, D.1,2,3.
Due 2/14. Read Ch. 6. and do problems A2, B1, C4, D5, E2. Read Ch 7 and do problems A.1,3. B.2,3. F.1-4.
Due 2/9. Do problems from Ch. 5 D.1, 8(uses Ch.4 G.1), E.1,4,6,7. F.2 (students in 601 do F.3).
Due 2/7. Read Ch. 4, do problems A.1,4. B.1,2,5. C.1-4. D.1,8. (Students in 601, do problem G). Read Ch. 5, do problems A,1,5. (Students in 601, do A.7, B.1)
Due 2/2. Read Ch.3 and do problems A.1,4, B.1,4, C.1-3, D(all). Students registered for 601 do problem E(all) as well.
Due 2/7. Read Ch. 1. These are meant to motivate the book and its subject. The mathematical details will be filled in during the course, but try to extract the basic concepts.
Due 1/31. Read Preface and Appendix A, 345-347. Also read Ch. 2, p. 19-21, and do Problems A.1,4,5. B.1,5,6. D.1,2,3. Be prepared to present solutions in class.
Then read Ch 3.

Course Information:

This course is an introduction to algebraic structures, including the theory of groups, rings and fields.

Location: Tuesdays and Thurdays, 10:05-11:55, Kiely 273.
Textbook: "A Book of Abstract Algebra," second edition, by Charles C. Pinter.
Grading: The final grade will be based on two preliminary exams (30% each), and the final exam (40%). Homework assignments will generally not be graded, but are essential for progress in the course. The letter grades will correspond to the student's display of content knowledge: A (great), B (good), C (little to good), D or F (little or none). The letter grade F is always given for cheating or plagarism. In this case, I will seek academic and disciplinary sanctions. See The CUNY Policy on Academic Integity.
Exams: The two preliminary exams are in class on March 2nd and April 4th. The final exam is Thursday, May 18th, 11am-1pm in Kiely 273.

Contact Information:

Instructor: Scott Wilson
Email: scott dot wilson AT qc.cuny.edu
Office: Kiley 609.
Office hours: Tuesday, Thursday 1:35-2:05, or by appointment.

Note on cross-listed courses:

This course has been cross-listed as both an undergraduate course MATH 301 and a graduate course MATH 601. The class sessions will be the same for students enrolled in the two classes; however, students enrolled in MATH 601 will have higher expectations, as indicated in homework assignments and exams. Graduate students must enroll in MATH 601 and not MATH 301. Undergraduate students may decide to enroll in either MATH 301 or MATH 601. If an undergraduate student enrolls in MATH 301, they will not be able to enroll in MATH 601 in the future, and MATH 301 cannot count toward a graduate degree at Queens College. If an undergraduate student enrolls in MATH 601 and is an Accelerated Masters student, MATH 601 may count as 3 of the maximum 12 credits toward their Masters Degree. If an undergraduate student enrolls in MATH 601 and is NOT an Accelerated Masters student AND MATH 601 is not one of the courses that fulfills their MATH degree requirements AND is MATH 601 is not used toward the 120 credits in their undergraduate degree, then MATH 601 may count as 3 of the maximum 12 credits toward an eventual Queens College Masters Degree. Please contact Prof. Wilson if you have any questions about this policy.