### 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 *.

- 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
- 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
- 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 \(qd= d+d+\dots( q\text{ times})\).)
- 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**)
- Chapter 6 of notes For next
**TUE Sept 26** do problems 1,2, 3 from chap 6
- Chapters 6 Updated For next Thurs Oct 5 , do problems 4, 7, 9
- 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
- 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 \((a_1,a_2)+(b_1,b_2)=(a_1+b_1, a_2+b_2)\)]
- Chapter 10 For Thurs Oct 26 do 3,4,5 chap 9 and 4, 5 chap 10
- Chapter 11 For Thurs Nov 2 do 1,2,3, 6, 7 chap 10 and 1 chap 11
- Chapter 12 (UPDATED) For Thurs Nov 9 do 2,3,4,5 from chap 11 and 1,3,4 from chap 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
- Chapter 14 (typos corrected) For Thurs Nov 30 do 2 to 6 from chap 13 and 1 from chap 14
- Chapter 15
- Chapter 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

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