Math 3220
Introduction to Analysis
Summer term, 2000

Homework Assignments

Send e-mail to : Professor Korevaar
or to our grader/tutor Darrell Poore

Links:
Math 3220 homework page
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Department of Mathematics




Homework due July 7

From the text:
   Section 11.2 page 333 (second edition), #1ac, 2,3,5,7.
  Section 11.3 page 338-340 (second edition), #1ad. (#5,7,13 will be due next Friday.)

Also, from the notes for Friday June 30:
HW1: Compute the infinity norm, the 1 norm, the 2 norm and the operator norm for the 2 by 2 matrix T equal to:
   [   1    -1 ]
   [   1    -1 ]
HW2: Prove that the operator norm for matrices satisfies the three abstract ``norm'' properties:
  (ii) ||T|| is non-negative, and equals zero if and only if T is the zero matrix.
  (iii) ||sT|| = |s| ||T||, for scalars s.
  (iv) ||T + M|| is less than or equal to ||T|| + ||M||. (triangle inequality)

Grading: Total=20: HW1: 2 points; HW2: 3 points (1 point each part); 11.3 #1a,d: 1 point each; 11.2 #1ad: 2 points each (1 point for derivative matrix and 1 point for differentiability justification); #2: 3 points; #3: 2 points; #5: 2 points; #7: 2 points.