MAT 441/541-Fall 2009

      Problems are to be worked for each class (the date shown is the date the problems are due). Students are required to solve problems in class at the board. Changes in assignments are notated in color.

      Please have assigned problems worked out before the start of class. You may be requested to explain your solution at the board during class.

       

      Get information on the Cantor Set
      Operation counts for Matrix inversion

      Week 15
    • Mon, Nov 23 :
      - Midterm. Due at start of class.
      - Exam review.
    • Wed, Nov 25:
      Implicit Function Theorem, continued.
      - No Class, Thanksgiving.
    • Fri, Nov 27:
      - No Class, Thanksgiving.

      Week 14 *
    • Mon, Nov 16:
      - Outstanding problems (An>= Gn).
      - Ex.7.1, p.319: 1, 2, 3, 7, 8.
      - Ex.7.2, p.322: 1, 2.
    • Wed, Nov 18:
      - Read Sec 2.8.
      - Read Sec 2.9.
    • Fri, Nov 20:
      - Ex. 2.9, p.105: 18.
      Week 13
    • Mon, Nov 9:
      - Outstanding problems.
      - Read Chapter 7.1.
    • Wed, Nov 11:
      - Read Chapter 7.2.
    • Fri, Nov 13:
      No Class/midterm assistance.

      Week 12
    • Mon, Nov 2:
      - Ex.2.4, p.73: 2 (cont, and other outstanding problems).
      - Ex.2.5, p. 77: 1, 3.
      - Ex.2.6, p. 84: 1-3.
    • Wed, Nov 4:
      - Continued topics on differentiation.
    • Fri, Nov 6:
      - Chapter 2.7 and 2.8.
      - Midterm handed out, due on Monday, November 23.

      Week 11
    • Mon, Oct 26:
      - Ex.2.10, p.111: 1, 5.
      - Ex.2.4, p.73: 1, 2.
      - Ex.2.3, p.69: 1, 4.
      - A_n, G_n inequality;
      - Show that the composition of linear maps is equal to the product of thier matrices.
      - Show the derivation of the first equation on p.110 in the proof of theorem 2.88.
    • Wed, Oct 28:
      - Read Sec 2.5.
      - Read Sec 2.6.
    • Fri, Oct 30:
      - Read Sec 2.7.

      Week 10
    • Mon, Oct 19:
      - Proof that G_n <= A_n for n = 2^k.
      -Ex.2.1, p.53: 1-3, and Ex.2.2, p.61: 1, 8.
    • Wed, Oct 21:
      - Read Sections 2.10, 2.3.
    • Fri, Oct 23:
      - Read Sections 2.4.

      Week 9
    • Mon, Oct 12:
      - Finish problems in Sec.1.7 and 1.8.
      - Proof that G_n <= A_n for n = 2^k.
    • Wed, Oct 14:
      - Read Chapter 2.1.
    • Fri, Oct 16:
      - Read Chapter 2.2

      Week 8
    • Mon, Oct 6 :
      - Ex.1.7, p.37:1-3, Ex.1.8, p.40: 1-3.
    • Wed, Oct 8 :
      - Read Chapter 2.2.
      - Read Chapter 2.1 and 2.2
    • Fri, Oct 10 :
      - No Class, Fall Semester break.

      Week 7
    • Mon, Sep 28 :
      - Worksheet problems, and completion of all open problems.
    • Wed, Sep 30 :
      - Read Sec. 1.7-1.8.
    • Fri, Oct 2 :
      - Read Sec. 1.7-1.8, continued.

      Week 6
    • Mon, Sep 21:
      - Continue with problem solving: Ex.1.5, p.29: 8 and Ex.1.6, p.33: 3.
      - Problem 6, Worksheet 1.
    • Wed, Sep 23:
      - Quiz. Closed, book and notes, on Sec. 1.1-1.6 worth 5 bonus points.
    • Fri, Sep 25:
      - The proof of the Heine-Borel Theorem, appendix B.
      - Read Sec. 1.7

      Week 5
    • Mon, Sep 14:
      - Ex.1.5, p28: 9.
      - Ex.1.6, p33: 1-4.
    • Wed, Sep 16:
      - Sec. 1.6 and 1.7.
    • Fri, Sep 18:
      - Supplemental material for Chapter 1.
      - Note problem 2b, worksheet 1 erratum: $\inf(A-B) = \inf(A) - \sup(B)$

      Week 4
    • Mon, Sep 7:
      - No Class, Labor Day
    • Wed, Sep 9:
      - Ex.1.5, p28: 1-3.
      - 2 point bonus written assignement on Fibonnacci sequence due at start of class.
    • Fri, Sep 11:
      - Read 1.1-1.6.
      - Ex.1.5, p28: 1-3.

      Week 3
    • Mon, Aug 31:
      - Bonus written assignement due at start of class.
      - Ex.1.3 remaining problems.
      - Ex.1.4, p.23: 1-4.
    • Wed, Sep 2:
      - Read Sec. 1.4 and 1.5.
    • Fri, Sep 4:
      - Read Sec. 1.5.

      Week 2
    • Mon, Aug 24:
      - Read Sec.1.3-1.4.
      - Ex.1.2, Ex.1.3 continued from Week 1.
      - Ex.1.3, p.19: 8.
    • Wed, Aug 26:
      - Sec. 1.4.
    • Fri, Aug 28:
      - No Class, Take home exercise, due Monday.

      Week 1
    • Wed, Aug 19:
      - Read Sec.1.1-1.3.
    • Fri, Aug 21:
      - Ex.1.1, p.9: 1-8.
      - Ex.1.2, p.12: 1-9.
      - Ex.1.3, p.19: 1-7.
      - Prove R^n is isomorphic with the space of n-tuples.
      - Prove that the Euclidean norm is a norm.

      USM
      Joseph.Kolibal@usm.edu
      Updated
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