Math 200A - Schedule


Important announcements: 1) The first meeting will be held on Friday, Oct 28, 8-8:50am, in CSB 004. 2) Please review the material in chapters 0, 1 and 2 in Dummit and Foote and solve as many exercices as possible from those chapters. A 30 minute test on that material is scheduled for Monday, October 31, at 10:00am.


Approximate Lecture Schedule (Dummit and Foote text.)


Week 0 (Friday, Oct 28) - Review of basic definitions, examples and properties of groups, subgroups and quotient groups (Chapters 1, 2; Chapter 3 - Sections 3.1 and 3.2.)
Week 1 (ending on Nov 4) - Review of basic definitions, examples and properties of groups, subgroups and quotient groups (Chapters 1, 2; Chapter 3 - Sections 3.1 and 3.2.)
Week 2 (ending on Nov 11) - Free groups and presentations. (Chapter 6, Section 6.3).  Friday, Nov 11 - Holiday.
Week 3 (ending on Nov 18) - The isomorphism theorems and applications (Chapter 3 - Sections 3.3 -3.5; Chapter 5.)
Week 4 (ending on Nov 25) - Group actions on sets. The Sylow theorems and applications (Chapter 4.) Friday, Nov 25 - Holiday.
Week 5 (ending on Dec 2) - Solvable and nilpotent groups. (Chapter 6)

 
 Week   ending on   Monday  Wednesday  Friday
 
  Sept 23
   
  
 
  Sept 30
 
 
  
 
  Oct 7
 
 
  
 
  Oct 14
 
 
 
 
  Oct 21
 
 
  
  0
  Oct 28
 
 
 8-8:50 CSB004;
10-10:50
APM 7421
  1
  Nov 4
 10-10:50 APM7421
  10-10:50 APM7421
   8-8:50 CSB004;
10-10:50
APM 7421
  2
  Nov 11
  10-10:50 APM7421
  10-10:50 APM7421
  Holiday
  3
  Nov 18
  10-10:50 APM7421
  10-10:50 APM7421    8-8:50 CSB004;
10-10:50
APM 7421
  4
  Nov 25
 10-10:50 APM7421   10-10:50 APM7421   Holiday
 
  5
  Dec 2
  10-10:50 APM7421    10-10:50    APM7421   8-8:50 CSB004;
10-10:50
APM 7421
 

FINAL EXAM: Monday, December 5, 8:00 - 11:00am.

Math 200A - Homework Assignments.


HW 1, due on Friday, Nov 4.
Section 1.2: 4, 17, 18.
Section 1.3: 14, 15, 18.
Section 1.4: 7, 11.
Section 1.5: 3
Section 1.6: 7, 25, 26.
Section 1.7: 8, 9, 10.

HW 2, due on Thursday, Nov 10. (Please place it in your TAs mailbox no later than 6:00pm.)
(Please turn in only those problems marked with a *.)
Section 2.4: 14, 16, 18, 19
Section 3.1: 14*, 17*, 20*, 22, 25, 26*, 29, 32, 33, 34, 36*, 38, 39, 41, 42
Section 3.2: 4, 5, 10*, 11, 14, 16, 17*, 19, 21, 22*

HW 3, due on Friday, Nov 18.
(Please turn in only those problems marked with a *.)
Section 6.3: 1*, 2, 3*, 4*, 5*, 6*, 7, 11*.

HW 4, due on Monday, Nov 28. (10:00am, in class)
Section 3.3 (page 101): 3*, 4, 7, 8*, 9*, 10*
Section 4.4 (pages 137 - 138): 3*, 4, 5*, 8*, 18, 19.
Section 5.1 (pages 156 - 158): 7, 8, 12*, 18*.

HW 5, due on  Friday,  Dec 2
Section 5.4 (pages 173-174): 1, 2*, 3, 11*, 13*, 15*, 16, 19*
Section 5.5 (pages 184-187): 5*, 6*, 16*, 17*, 18*

HW 6 - due on Monday, January 9, 10:00am (in class).
Section 4.2 (pages 121-122): 4*, 6*, 7*, 9, 10, 13, 14.
Section 4.3 (pages 130-132): 2*, 5*, 8, 25*, 26, 27*, 31*.
Section 4.5 (pages 146-148): 1*, 5*, 12*, 16*, 32*, 33*, 34*, 52*, 53, 54*, 55*.