ACCESS-UGS 1430
Math Portion
Summer 2005


College of Science
Math Department
Nick Korevaar's home page

Send e-mail to :
Nick Korevaar
Meagan McNulty
Sarah Kitchen
Sid Rudolph
Irene Cervantes



WEEK 1 SCHEDULE
JUNE 13-17, 2005


     Hi! I'm Professor Nick Korevaar. My office is LCB 204, my phone number is 581-7318, and my email address is korevaar@math.utah.edu. This is our home page for the two Math weeks of ACCESS, http://www.math.utah.edu/~korevaar/ACCESS2005. The current schedule is for week one, June 13-17. You'll return for the fourth week, July 5-8. Meagan McNulty is our ACCESS TA for the entire summer session, and Sarah Kitchen will be assisting with the two Math weeks. Both Meagan and Sarah are Math graduate students.

     Our theme for the first week will be codes and cryptography. Our planned schedule is below, although it could change as the week progresses.

Monday June 13:

8:30-9:45 a.m.
JTB 120

Introductions, and the forming of study groups. Sid Rudolph and Irene Cervantes will be there to get us started, and Sid will challenge us with a math problem.

 

9:45-10:15 a.m.
 

We will walk to the Union to get pictures taken for your University I.D.'s, and then over to Marriott Library and PC-Lab 1735. If you want to explore the rest of campus from your computer, use the interactive campus map.

 

10:15-noon
PC-Lab 1735

Introduction to the lab: set up accounts, email, internet; introduction/review to Microsoft Word for word processing. We will download Monday's notes: MonJune13.doc. If you want to look at these notes from a non-microsoft place, try MonJune13.pdf. We may also experiment with the mathematical software known as Maple, by playing with the document MapleExpls.mws; (Open MapleExpls.pdf if you want to look but not play.)


Tuesday June 14:

8:30-10:15 a.m.
PC-Lab 1735

An introduction to historical cryptography: Caesar Shifts and other substitution ciphers, as described in "The Code Book". Please read chapter 1 (pages 1-44) before class. Simon Singh will explain why Mary Queen of Scots lost her head, not understanding how easy it is to break substitution ciphers with frequency analysis. There will be a cipher for us to solve, and MAPLE will help us. Here is a directory of today's documents: Tuesdaydocs.

 

10:30-noon
JTB 120

"Cryptography using clock arithmetic," a lecture and discussion by Professor Jim Carlson of the Math Department.


Wednesday June 15:

8:30-10:15 a.m.
JTB 120

We'll experiment with modular arithmetic, expanding on the ideas which Jim introduced yesterday. For example, if your substitution cipher is created using multiplication in modular arithmetic, is there an easy way to decrypt messages? We will be led to some interesting facts from number theory. Here are the notes we used: WedJune15.doc, WedJune15.pdf

 

10:30-noon
JTB 120

"RSA cryptography and internet security", lecture and discussion by Jim Carlson. To prep for Jim's talk, you may want to read chapters 6-7 of "The Code Book". Starting tomorrow we'll also need Tom Davis' notes on Cryptography, and the original paper on RSA systems, by Rivest, Shamir, Adelman.)


Thursday June 16:

PC-Lab 1735
8:30-10:15

RSA encryption; You will want to become very familiar with the Maple code for setting up RSA systems. The file RSA.mws has some commands missing so you can practice easy Maple syntax (and discover the most common mistakes). The files RSAverbose.mws and RSAverbose.pdf are complete. Of course, the .pdf version is only for viewing or printing out; only the .mws file can be opened from Maple. We also looked at the picture version of secure signature RSA cryptography, with cute Alice and Bob, alicebob.pdf

 

10:30-noon
JTB 120

"Genetic Codes," lecture by Biology Professor Jon Seger.

 

12:15-3:15

University Orientation, in the large conference room of the Sill Center.


Friday June 17:

8:00-9:00 a.m.
Women's Resource Center

"Safety and survival" - go to southeast end of main floor of the Union

 

9:10-noon
PC-Lab 1735

Project work in the MARRIOTT computer lab. Here's what you've got to do: assignment1.pdf    Here are your public keys:keys.doc

 

12:30 p.m. - ?
Honor's Center,
Fort Douglas

Honor's Program advising session