• ## Math/CS/Stat 475,

TR 9:30 AM - 10:45 AM, B105 Van Vleck Hall. FINAL EXAM is Wednesday, December 19, 2007 at 5:05 PM, in 594 Van Hise.
Text is "Introductory Combinatorics", 4th edition, by RAB; I will also have several copies on reserve in the Math Library in Van Vlec\$ Hall so one does not need to purchase the book. In addition, I plan to be revising the book for a new edition and will distribute by email pdf file of the revised chapters that we will be covering in class. SO THERE REALLY IS NO REASON TO BUY THE BOOK,

• ## Math 340,

TR 11:00 AM - 12:15 PM, B135 Van Vleck Hall. FINAL EX\$ Monday, December 17, 2007 at 5:05 PM in B239 Van Vleck.

## Teaching Schedule, Spring Semester, 2006 - 2007

• Math/ECE 641 (Intro. to Coding Theory), TR 9:30 AM - 10:45 AM, B341 Van Vleck Hall
• Math/ECE 641 Syllabus
• Exercises Chapter 1: 1.2, 1.3, 1.4, 1.5, 1.10, 1.11 (1., 2.), 1.12. (Please hand in on Thursday, Feb. 1)
• Exercises Chapter 2: 2.3, 2.4, 2.5, 2.6, 2.7, 2.10 (1-5), 2.11, 2.14, 2.16 (1-3). (Please hand in on Thursday, Feb. 15)
• Exercises Chapter 3: 3.1, 3.12, 3.17, 3.18, 3.38 (3) and (4), 3.39. (Please hand in on Thursday, March 1.)
• Exercises Chapter 4: 4.2, 4.3 (1), 4.6, 4.11 (1), 4.13 (1-7), 4.14. (Please hand in on Thursday, March 15.)
• Exercises Chapter 5: 5.1, 5.14, 5.18, 5.21, 5.28, 5.30. (Please hand in on Thursday, April 12.)
• Exercises Chapter 6: 6.2, 6.3. (Please hand in on Thursday, April 19.)
• Exercises Chapter 7: 7.1 (part 1 only with m assumed to be even), 7.2, 7.3, 7.5 (parts 1 and 2 only), 7.14 (parts 1, 2, 3, 4 only). (Please hand in on Thursday, May 3)
• Exercises Chapter 8: *8.2* (Hint: It is enough to show that the result holds for one generator matrix, since every other one is obtained by elementary row operations and these do not change the linear independence of columns), *8.3* (Hint: Think LCM and GCD), *8.5*, *8.14*, *8.16 (not part 6)*. (Please hand in by Monday, May 14 (my mailbox on the 2nd floor of Van Vleck is fine.)

## Teaching Schedule, Spring Semester, 2005-2006

• Math 340 (Elementary Linear Algebra), TR 9:30-10:45 AM, B239 Van Vleck Hall

## Teaching Schedule, Fall Semester, 2005-2006

• Math/CS 240 (Intro. to Discrete Math), 11:00 AM - 12:15 PM, TR, B102 Van Vleck Hall

• Math/CS/STAT 475 (Introductory Combinatorics), 9:30 -- 10:45 PM, TR, B113 Van Vleck Hall.

## Teaching Schedule, Spring Semester, 2001-02

• Math/CS/Stat 475 (Intro. Combinatorics), 8:50-9:40 AM, MWF, B105 Van Vleck Hall.
• Math/ECE 641 (Intro. to Error-Correcting Codes), 11:00-11:50 AM, MWF, B211 Van Vleck Hall.
• 641 syllabus and schedule
• Exam 1 solutions
• Exam 2 solutions
• PROBLEM SETS
• Set 1 (Due Wednesday, Feb.6) Page 11 (1.5), Pages 25-26 (2.1, 2.5, 2.6, 2.7, 2.10, 2.11, 2.13.
• Set 2 (Due: Monday, Feb. 18) Pages 43-46 (3.7, 3.8, 3.10, 3.14, 3.15, 3.16, 3.17, 3.19, 3.23, AND
Pages 61-62: 4.1, 4.3, 4.4, 4.8, AND
Supplementary Exercise 1: Consider the dual of the (7,4,3)-binary code (perfect). Construct the codewords of the dual. What interesting conclusion do you come to?
• Set 3 (Not to hand in): Pages 77-78 (5.7, 5.9, 5.11)
• Set 4: (Due Friday, March 15)
• Construct the field F_8 of 8 elements using the polynomial x^3+x+1. Determine all primitive elements and identify the minimal polynomial of each element of the field and the factorization of x^8-x.
• Do a similar calculation for F_9 using the polynomial x^2 +1.
• Set 5 (Due Wednesday, April 10, 2002), Pages 230-231 (14.2, 14.3, 14.4)
• Set 6 (Due Monday, May 6, 2002), Page 266 (16.2, 16.4), Pages 285-286 (17.4, 17.5)
• About Claude Shannon , the father of coding theory.

• Office Hours: Tuesday 11:00-11:50 AM, Wednesday 1:20-2:10 PM, Friday 9:55-10:45 AM.

## Teaching Schedule, Fall Semester, 2000-01

• I was on sabbatical.

## Teaching Schedule, Fall Semester, 1999-2000

• Math 210 (Finite Mathematics), Monday, Wednesday, and Friday, 9:55 to 10:45 am, B239 Van Vleck Hall.
• Math/ECE 641 (Error Correcting Codes) , Monday, Wednesday, and Friday, 8:50 to 9:40 am, B119 Van Vleck Hall.
• Combinatorics Seminar, Mondays at 2:25 pm, 901 Van Vleck Hall.
• VIGRE brown bag seminar, Wednesdays at 12:05 pm, 901 Van Vleck Hall.
• Office Hours: Mondays 3:30 to 4:20 pm, Wednesdays 1:20 to 2:10 pm. Fridays 11:00 - 11:50 am.

## Teaching Schedule, Spring Semester, 1999-2000

• Math/CS/Stat 475 (Combinatorics).
• Math 340 (Intro. Linear Algebra).
• Combinatorics Seminar, Mondays at 2:25 pm, 901 Van Vleck Hall.
• VIGRE brown bag seminar, Wednesdays at 12:05 pm, 901 Van Vleck Hall.
• Office Hours: Mondays 12:00 to 1:00 pm, Wednesdays 2:30 to 3:30 pm. Fridays 11:00 am to 12:00 pm.