Math 316 Midterm 3
Wednesday, November 13, 2013
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper.
Math 316 Midterm 2
Monday, October 14, 2013
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. You
Math 316 Midterm 1
Friday, September 20, 2013
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. Yo
Math 316 Midterm 1
Friday, September 20, 2013
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. Yo
Math 316 Midterm 2
Wednesday, March 5, 2014
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. You
Math 316 Midterm 2
Wednesday, March 5, 2014
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. You
Math 316 Midterm 1
Friday, February 7, 2014
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. You
Math 316 Midterm 1
Friday, February 7, 2014
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. You
CLOSED SETS
MICHAEL VANVALKENBURGH
This is the lecture I wouldve given today (October 4, 2013) had I not been sick.
Last time: Open Sets.
Today: Closed Sets.
(1)
(2)
(3)
(4)
The denition of limit poin
MATH 316, HOMEWORK 3
DUE WEDNESDAY, FEBRUARY 12, 2014
Exercise 1. We say that a sequence (an ) converges to a R if > 0 N N such that
n=1
|an a| < n N .
We say that a sequence (an ) klonverges to a R i
MATH 316, HOMEWORK 2
DUE WEDNESDAY, FEBRUARY 5, 2014
Exercise 1. (This exercise will not be graded.) Prove the following theorem:
Theorem 1. For every real x > 0 and every n N, there is a unique posit
MATH 316, HOMEWORK 1
DUE WEDNESDAY, JANUARY 29, 2014
Exercise 1. In class, I gave the truth tables for and, or, implies, and not. Now
prove, using truth tables, that:
(a) (P or Q) ( P )&( Q).
(b) (P Q
Math 316 Final Exam
Tuesday, December 17, 2013
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. Y
Math 316 Final Exam
Tuesday, December 17, 2013
Professor Michael VanValkenburgh
Name:
Instructions: Show all of your work, and clearly indicate your answers. Use the backs of pages as scratch
paper. Y