ACCESS-UGS 1430
Math Portion
Summer 2002


Math Department

Send e-mail to : Nick Korevaar
Emina Alibegovic
Kandice Nielson
Sid Rudolph

Links:
Nick Korevaar's home page
Emina Alibegovic's home page
College of Science




WEEK 1 SCHEDULE
JUNE 17-21, 2002

     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 You can find ACCESS information (like these notes), by following links from my home page, at http://www.math.utah.edu/~korevaar

     The math portion of ACCESS is the first week, June 17-21, and the fourth week, July 8-12. Emina Alibegovic and I will be your teachers for these two weeks (along with several guest lecturers), and Kandice Nielson will be the TA for the entire summer course.

     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 17:
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.

Tuesday June 18:
8:30-10:15 a.m.
LCB 115
An introduction to historical cryptography: Caesar Shifts, substitution cyphers and the Vigenere cypher, as described in "The Code Book". We will meet in JTB 120, walk to the Math computer lab, and learn about MAPLE and how it can help us decode messages. Maple Examples.pdf (view on your computer); Maple Examples.mws (save and open from Maple). Emina's ACCESS page also has a Maple worksheet for you.
10:30-noon
JTB 120
"Cryptography: From Julius Caesar to World War II," a lecture and discussion by Professor Jim Carlson of the Math Department.

Wednesday June 19:
8:30-10:15 a.m.
JTB 120
We'll walk from JTB 120 back to the math lab in LCB 115, so that you can do the frequency analysis for the coded messages which (hopefully) your neighboring group has sent to you. Then we'll experiment with modular arithmetic and the Euclidean algorithm, to get ready for Jim's talk on RSA public key cryptography. (See chapters 6-7 of "The Code Book", Tom Davis' notes on Cryptography, and the original paper by Rivest, Shamir, Adelman.)
10:30-noon
JTB 120
"RSA cryptography and internet security", lecture and discussion by Jim Carlson. After Jim's talk, at noon, we will prove that there is such a thing as a free lunch - we'll go eat with the students in the high school math summer program, in the plaza between LCB and JWB.

Thursday June 20:
8:30-10:15 a.m.
South Physics 205
RSA codes; your project assignment.pdf. for this week. The Math computer lab is unavailable, so after meeting in JTB 120 we will walk over to the Physics lab instead! You will want to become very familiar with the Maple code for setting up RSA codes, RSA.mws, RSA.pdf
10:30-noon
JTB 120
"Genetic Codes," lecture by Biology Professor Jon Seger.

Friday June 21:
8:30-noon
PC-Lab 1735
Project work in the MARRIOTT computer lab. NOTE CHANGE OF LOCATION. Starting immediately there is Maple available on Marriott pc's. Meet at at the PC-Lab.
   publickeys.mws   maple worksheet of all your public keys (open from Maple)
   publickeys.txt    maple text (open from word processor)
   publickeys.pdf    (look at on browser)