CHRIS KOCS

University of Utah

OFFICE: JWB 331
OFFICE HOURS: by appointment
TUTORING CENTER: TBA
E-MAIL: kocs@math.utah.edu

"A man has one hundred dollars and you leave him with two dollars, that's subtraction."

~ Mae West, My Little Chickadee, 1940

Class Links

Short Bio

In 2007, I graduated with a B.S. in mathematics from the University of Utah, and I attained my master's degree in math in the spring of '09 (also from the U of U). Currently I am pursuing a doctorate in pure math; my primary research interests are representation theory and number theory.

Odd fact: Although I've lived in Utah for over 10 years, I've only skied once. But that was cross-country skiing and I spent more time in the shrubbery than the snow, so it doesn't really count.

Teaching

Summer 2012 - Math 3210.001

Location: JTB 320
Time: M,T,W,H 08:45 AM - 09:45 AM
Texts: The course will follow chapters 7-10 of Joseph L. Taylor's textbook Foundations of Analysis (2011), which are available for download at
+ http://www.math.utah.edu/~taylor/foundations.html

Description: There are two objectives for the course. The first is to explore the concepts and fundamental theorems of advanced multivariable calculus. The second is to further develop each student's ability to understand more abstract concepts and to write an effective and rigorous mathematical argument.

Homework: Practice is important for the mastery of mathematical concepts. To facilitate this practice, homework will be assigned weekly. See the

Course Schedule

Final Exam: The final exam for this section will be comprehensive and will be administered on Thursday, August 2, 2012, from 7:30 - 9:30 AM in the regular classroom (JTB 320).

May 2012
S M T W T F S
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 28 19
20 21 22 23 24 25 26
27 28 29 30 31
May 14. Introduction to the course
  • ¬ READING: 7.1 Euclidean Space
HOMEWORK:
Diagnostic Test (solutions) (due 5/15)

May 15. Euclidean Space - Norm and Inner Product
  • ¬ READING: 7.2 Convergent Sequences of Vectors
HOMEWORK:
7.1 #1,3-11 (due 5/24)

May 16. Convergent Sequences
  • ¬ READING: 7.3 Open and Closed Sets

May 17. Topology - Open and Closed Sets.
HOMEWORK:
7.2 #1-6,11-15 (due 5/24)
7.3 #1,4-11,14 (due 5/24)
additional questions (due 5/24)

May 21. More Topology - Open and Closed Sets.
  • ¬ READING: 7.4 Compact Sets
May 22. More Topology - Compact Sets.
  • ¬ READING: 7.5 Connected Sets
May 22. More Topology - Connected Sets.
  • ¬ READING: 8.1 Continuous Functions
HOMEWORK:
7.4 #5,8,13 (due 5/29)
7.5 #4,5,10,11,12,14 (due 5/29)
additional questions (due 5/29)