Saugata Basu
Math 742, 494-8798
sbasu@math.purdue.edu
teaching Math 553 Spring 2013
MWF, 12:30-1.20 (REC 113)
Office hours: Wed 2:00-3:00 or by appointment.
Grader's email: mmishra aT math doT purdue doT edu
Homework to be turned in is due: Friday in class.
Homework due
Jan 11: Nothing
Jan 18: Page 35, Problems 10, 11 (parts a),b) and e) only:
assume that F is the field of real numbers); Page 40-41, Problems 17,18, 26;
Page 71-72: Problems 11,12,13,14.
Jan 25: Page 101, Problems 3, 8, 9,10. Page 106, Problems 5, 8. Page 111,
Problems 3,4,10,12.
Feb 1: Page 146, Problems 12, 16, 24, 27, 32, 33, 34, 38.
Feb 8: Page 184-185, Problems 7, 8,10,11,12.
Feb 15: Nothing due.
Feb 22: Page 822, Problems 1,3. Page 837: Problems 1-4.
Mar 22: Page 220-221: Problems 2,3,11,12,13,14. Page 248: 14, 17, 18, 19, 22, 26, 28, 29,30.
Mar 29: Page 249: 34,35. Page 256: 11,13,18,19,26,27,30,31,32,37.
April 12: Page 306: Problems 1-4. Page 330: 4,5,10,11,12. Extra credit
problems: Problem 23, 29.
April 19: Page 529: Problems 3,4,5,7,8,10,15,19,20. Page 545: Problems 1,2,3,4.
Due, 10 AM, April 29. Take home
Final Exam.
The syllabus
Exam dates
- Mid-term I : Feb 4 (Mon). Syllabus: Groups, isomorphism theorems,
Jordan-Holder, nilpotent and solvable groups, commutator subgroup,
groups acting on sets, orbit-stabilizer formula, p-groups, Sylow theorem,
semi-direct product.
- Mid-term II: Mar 4 (Mon).
- Mid-term III (tentative): April 2 (Mon).