MATH 25400
Basic Algebra-1 - Winter 2006

Instructor: Caroline J. Klivans
office: Eckhart 308A
e-mail: cjk (at) math.uchicago.edu
office hours: Monday 4-5 & Friday 4-5

Reader: Eric Patterson
office: Eckhart 14
e-mail: eric (at) math.uchicago.edu
office hours: Tuesday 4-5 & Thursday 3:30-4:30

Lecture: MWF 1:30 - 2:20 Eckhart 312

Course Description: This is the first course in the basic algebra sequence. This sequence covers groups, subgroups, and permutation groups; rings and ideals; some work on fields; vector spaces, linear transformations and matrices, and modules; and canonical forms of matrices, quadratic forms, and multilinear algebra.

Required text:
A First Course in Abstract Algebra, Fraleigh

Homework:
There will be weekly homework assignments. You are encouraged to work together but all students must independently write up their solutions. All homeworks are due at the beginning of class unless otherwise noted.

Homework 1 Due Wednesday Jan. 11th, Read sections 0,2,3. Due Problems: Section 0: 30, 32 Section 2: 8, 37 Section 4: 6, 32.
Homework 2 Due Wednesday Jan. 18th, Problems: Section 3: 26, 27, 28 Section 4: 8, 19, 36 Section 5: 1-4, 41.
Homework 3 Due Wednesday Jan. 25th, Problems: Section 5: 24 Section 6: 8, 13, 22, 49 Section 7: 4, 6.
Homework 4 Due Wednesday Feb. 1st, Problems: Section 8: 4, 8, 18, 40, 42 Section 9: 10, 34 Section 10: 4, 32
Homework 5 Due Wednesday Feb. 8th, Problems: Section 11: 6,16,27 Section 10: 12 Section 9: 6 Section 8: 36 Section 6: 52 Section 5: 43 Section 4: 24
Reminder: the midterm is next Wednesday Feb. 8th
Homework 6 Due Wednesday Feb. 22nd, Problems: Section 13: 4,28,48 Section 14: 6,27,31 Section 15: 8,14
Homework 7 Due Wednesday March 1st, Problems: Section 18: 8,10,40 Section 19: 4,14,23 Section 20: 2,4
Homework 8 Due Wednesday March 8th, Read section 21, Problems: Section 20: 8 Section 21: 11,12 Section 22: 5,14,24 Section 23, 10
Final Exam: Friday, March 17, 10:30-12:30, Eck 312.
It is the policy of the Department of Mathematics that the following rules apply to final exams in all undergraduate mathematics courses: 1. The final exam must occur at the time and place designated on the College Final Exam Schedule. In particular, no final examinations may be given during the tenth week of the quarter, except in the case of graduating seniors. 2. Any student who wishes to depart from the scheduled final exam time for the course must receive permission from Paul Sally (office is Ry 250, phone is 2-7388, email is sally@math.uchicago.edu). Instructors are not permitted to excuse students from the scheduled time of the final exam except in the cases of an Incomplete.