Contact information for Donu Arapura

Office: MATH 642
Office hours: Tue 4:30-5:30; Thurs 11-12
Email address: arapura*math.purdue.edu (replace * by @)
Phone number: 494-1983
(Technical note, I'm using this to render formulas, so you'll need your browser to have javascript turned on.) NOTE: No class coming Tues (before Thanksgiving)


Math 450 (Honors Abstract Algebra); TTh 3:00, Univ 219

Since this the honors section, I assume you won't mind being challenged. I will base the grade on weekly homework (25%), two midterms and a final (25% each). Rather than follow a textbook, I plan to use my own notes which allows for greater flexibility. They will be posted here weekly. You may also want to consult other sources. I recommend Artin's Algebra .
  1. Chapters 1 & 2 of notes. (Typo fixed) For next Thurs Aug 31, do problems 1,2, 3 4, 6, 7 from chap 1 & problem 1 from chap 2
  2. Chapters 3 of notes. For next Thurs Sept 7 , do problems 3, 4, 5, 7, 8 from chap 2 & problem 2, 4 from chap 3
  3. Chapters 4 of notes. For next Thurs Sept 14, do problems 7 from chap 3 & problem 1,2,3,7, 8 from chap 4 (Clarification: Chap 4, #7 should read ``then \(x=qd\)..." also \(\mathbb{Z}\) is a group under addition and \(qd= d+d+\dots( q\text{ times})\).)
  4. Chapters 5 of notes.(Corrected) For next Thurs Sept 21 do problem 10 from chap 4, and problem 4, 5, 6, 8 from chap 5 ( NOTE: chap5, #5 corrected)
  5. Chapter 6 of notes For next TUE Sept 26 do problems 1,2, 3 from chap 6
  6. Chapters 6 Updated For next Thurs Oct 5 , do problems 4, 7, 9
  7. Chapter 7 and Chapter 8 . For next Thurs Oct 12, do problems 1,2, 3, 7, 8, 9 from chap 7 and 1 chap 8
  8. Chapter 8 (updated) and Chapter 9 . . For Thurs Oct 19 do 2,3,4, 6,8 chap 8 and 1 chap 9 [Note there was a typo in prob 6, it should read \((a_1,a_2)+(b_1,b_2)=(a_1+b_1, a_2+b_2)\)]
  9. Chapter 10 For Thurs Oct 26 do 3,4,5 chap 9 and 4, 5 chap 10
  10. Chapter 11 For Thurs Nov 2 do 1,2,3, 6, 7 chap 10 and 1 chap 11
  11. Chapter 12 (UPDATED) For Thurs Nov 9 do 2,3,4,5 from chap 11 and 1,3,4 from chap 12
  12. Chapter 13 (won't be on test) For Thurs Nov 16 do 6 from chap 12 Should read \(A\in M_{nn}(\mathbb{Z}_p)\) , and 1 from chap 13
  13. Chapter 14 (typos corrected) For Thurs Nov 30 do 2 to 6 from chap 13 and 1 from chap 14
  14. Chapter 15
  15. Chapter 16
  16. The entire set of notes are also available.
Test 3
Take home (due Thurs Dec 7): Chap 14: 6; Chap 15: 4, 7; Chap 16: 4, 5 (The last problem should read "... matrices in exercise 4", and the angles listed in that problem should probably be doubled to \(2\pi/6, 2\pi/ 3\) )

Math 518 ( Discrete Math); TTh 12:00, Univ 117

This will basically be class on combinatorics a.k.a. ``discrete math''. The textbook for the class is Concrete Mathematics by Graham, Knuth and Patashnik. I'll mostly follow it along with some supplementary sources such as Wilf's Generatingfunctionology. also A=B by Petkovsek, Wilf, Zeilberger, contains much more info about Gosper/Zeilberger/... algorithms. The grade will be based completely on homework, which will be assigned weekly. In addition, I would ask everyone to present at least one of your solutions in class. Each presentation will be worth a couple of points as well

  1. Homework 1 (due Thurs Aug 1 )
  2. Homework 2 NB Expression in bonus problem 5 should read \(\prod_{p\in P}\frac{1}{1-p^{-1}}\) (due Thurs Sept 7 )
  3. Homework 3 (due Thurs Sept 14 )
  4. Homework 4 (due Thurs Sept 21 )
  5. Homework 5 (Typo corrected) (due Thurs Sept 28 )
  6. Homework 6 (due Thurs Oct 5 )
  7. Homework 7 (due Thurs Oct 12 )
  8. Homework 8 (due Thurs Oct 19 )
  9. Homework 9 (due Thurs Oct 26 )
  10. Homework 10 (due Thurs Nov 2 )
  11. <
  12. Homework 11 (due Thurs Nov 9 )
  13. Homework 12 (due Thurs Nov 16 )
  14. Homework 13 (due Thurs Nov 30 )
  15. Homework 14 (due Thurs Dec 7 )