### 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 )