" Do
not
burden the mind with memorization, but learn to think"
-Wiliam
Ellery Channing
First drafts of Homework will be due on Fridays at the beginning of class, and Final drafts on Wednesdays at the beginning of class.. You may work with up to 3 other students on a joint homework assignment and submit it with all of your names at the top. You will all receive the same grade. If you have questions, you can contact me using email: sands@cems.uvm.edu In addition to the problems from the text listed below, there will sometimes be an extra problem handed out.
# Due (1st Draft) Assignment Comments
| 1 | Jan. 23 |
p. 8 # 1,2,7,9,14,15,22 | 1.2 Integers and the Division Algorithm |
| 2 | Jan. 30 |
p. 8 # 13,17,19,21,24,26,30 p. 14 #1,5,15,21 |
1.2 Euclidean Algorithm 1.3 Integer Representations |
| 3 | Feb. 6 | p. 14 # 23,27,29 Problems from class |
1.3 Fraction Representations 1.4 Practice writing proofs and/or counterexamples |
| 4 | Feb. 13. | p. 21 # 2,8,9,10,11,14,17 Problems from class |
1.5 Logic and Truth Tables Set Theory(supplement) |
| 5 | Feb. 20 |
p. 29 #1,2,3,4,6,9,10 and problems from class |
1.6 Relations |
| 6 | Mar. 6 | p. 29 # 12, 14,15 p. 47 # 2,15,18,32 |
1.6 Functions (Test to here on Feb. 27 ) 2.1 Induction |
| 7 | Mar. 20 | p. 56 # 3,4 | 2.2 Recursion (Spring Break Mar. 9-13) |
| 8 | Mar. 27 |
p. 63 #5cd,17,19ad p. 68 #5,6,7,9,11 |
3.1 Extended Euclidean Algorithm 3.2 Modular Arithmetic |
| 9 | Apr. 3 | p. 72 #2ab,5ab 9,10 p. 79 #2 |
3.3 Properties of Modular Arithmetic -- 3.4 The Euler Phi Function - Test II on 4/10/09 on Chaps. 2 and 3. |
| 10 | Apr. 17 | p. 104 #5,10,15,20,25 p. 108 # 5,17,22 Also:Prove Re(z)=(z+z')/2 And Im(z)=(z-z')/2i |
5.1 Definition of Complex Numbers 5.2 Polar Forms z'= complex conjugate of z |
| Apr. 17-29 | Class presentations | ||
| May 1-8 | Final Exams | ||