Fall 2025: MATH 171

Abstract Algebra


Handouts

Course announcement: PDF
Syllabus (in .html format)
: Math 171

Homeworks

(due in class every Thursday except when explicitly noted otherwise)

It is understood implicitly that reading the respective sections from the book (as well as any supplementary materials that may be provided) and carefully reviewing the lecture notes is a part of your homework assignment.

Show all work on your homework solutions - it is not the correct answer you are graded on, it is the solution and details of the proof. Please write neatly, and present your solution/proof accurately.

Please check this page regularly - assignments and due dates may change depending on the class progress.

HW #1, due 9/11/25:

Sec. 0.3, ## 3, 6, 9, 11, 12
Sec. 1.1, ## 1, 5, 6, 8, 9, 12, 17, 20, 25, 31

HW #2, due 9/18/25:

Sec. 1.2, ## 1, 2, 3, 6, 16
Sec. 1.3, ## 2, 5, 6, 10, 14, 15

HW #3, due 9/25/25:

Sec. 1.4, ## 4, 5, 7
Sec. 1.5, # 3
Sec. 2.1, ## 1(b, e), 4, 5, 8, 10(a), 11, 12

HW #4, due 10/2/25:

Sec. 1.6, ## 3, 4, 7, 9, 16, 17, 19, 20, 25, 26
Sec. 1.7, ## 4, 6, 16, 17, 18, 19

HW #5, due 10/16/25:

Sec. 2.2, ## 5, 6, 7, 10, 11
Sec. 2.3, ## 16, 23, 24, 25

HW #6, due 10/23/25:

Sec. 3.1, ## 1, 4, 5, 22(a), 24, 40, 41
Sec. 3.2, ## 4, 5, 6, 8, 11, 15, 16, 17, 18, 22

HW #7, due 10/30/25:

Sec. 3.3, ## 2, 3, 7, 8
Sec. 3.4, ## 4, 7
Sec. 3.5, ## 3, 4, 5, 9 (Note: V_4 is the Klein-4 group -- it is isomorphic to Z/2Z x Z/2Z; see p. 68 of your book)

HW#8, due 11/13/25:

Sec. 4.2, ## 1, 2, 3, 9
Sec. 4.3, ## 2, 5, 8

HW#9, due 11/20/25:

Sec. 4.4, ## 1, 6, 7
Sec. 4.5, ## 3, 5, 13, 16, 17

HW#10, due 12/4/25:

Sec. 7.1, ## 4, 5, 7, 12, 14


Exams

In class midterm 1:  Thursday, 10/9/25

In class midterm 2:  Thursday, 11/6/25

Final Exam:    Friday, December 12, 2:00 - 5:00 pm in Davidson


Announcements

Weekly mentoring hours with the TA Ethan Schlegel (ethan.schlegel@cgu.edu) -- TBA.