Homework Assignments

Math 52B

Professor Jonathan Sands
Spring 2009
 

" 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