Dr. Sarah's Math 2240 Web Page - Summer 2002

Contents

  • Class highlights
  • Campus Pipeline To access WebCT (bulletin board, solutions, literacy tests and grades) and to e-mail yourself attachments.
  • Syllabus and Grading Policies
  • Maple 6 Commands and Hints
    Summer Lab Hours
    Opening Maple 6 and LAMP in PC and Mac labs in Walker Hall
    Lab 1 Directions
    PS 1
    PS 2

    Final Projects
  • Matrices to Represent How Contra Dancers Exchange Positions in a Square Contra Dance and How Couples Exchange Positions in a Long-Ways Contra Dance by Jenky Sprinkle (Incomplete - this is the part I could recover)
  • Simple Matrix Missile Guidance System by Christopher B. Dreier
  • Implementation of Matrix Operations in C++ by Yong Yang
  • Applications of Matrices, Vectors and Linear Algebra in the Graphical Field of Ray Tracing by Chris Estes
    autr6.jpg
    gt_asia.jpg
    gt_city.jpg
    strike.jpg
    animation
  • Applications of Matrices, Eigenvalues and Eigenvectors to Reaction Rates of Certain Chemical Reactions by Gordon Causby
  • Applying Determinants to Find Normal Frequencies of Coupled Oscillators by Sam Thompson
  • Fractals and Linear Algebra by AJ Oldham and Jeanette Peck

    Date     WORK DUE at the beginning of class or lab unless otherwise noted! For practice problems, make sure that you can present and/or turn in your work - write out the problem and the complete solution - show work too!

    June 27 - Thur
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    June 26 - Wed
    • Final Exam review sheet
    • Test 2 revisions due - worth +7/94

    June 24 - Mon
    1. Practice Problems 6.5 numbers 13, 15, 17, 25, 33
    2. Read through the following LAMP Problems:
      Chapter 4 Module 1 Problem 1: Guess the transformation
      Chapter 4 Module 1 Problem 9: Square roots, cube roots, ...
      Chapter 6 Module 4 Problem 7: Projection matrices
      Chapter 6 Module 4 Problem 8 Parts a and b: Shear matrices
    3. Work on Final Project and on Reviewing for the Final Exam

    June 19 - Wed
    1. Final Project Topic and Preliminary List of References Due at 2:20pm
    2. Problem Set 6 Due at 2:20pm - NOT AT 5 Guidelines
      7.1 (14 by hand and on Maple via the Evectors(A); or Eigenvectors(A); command -- compare your answers and resolve any apparent conflicts)
      LAMP Module 6.1 p. 322 Problem 4 Parts A and C: Rotation matrices in R^2 parts a and c. Note: if you want to print out geometric pictures, use Headtail(M); which gives a static picture, instead of Clock(M); which gives an animation that won't print out. Also, in part c, look at the eigenvalues and solve for the possible theta that will yield real numbers (recall that the square root of a negative number does not exist as a real number and that cos(theta) is less than or equal to 1 always.)
      7.2 6, 16 and 22
      LAMP Module 6.3 p. 357 Problem 4 Part A: More foxes and rabbits (Predator-prey model). Hint See p. 348 Section 3 and Example 3A up until about 1/3 the way down on p. 349 "tend toward the zero vector in the limit." and complete a similar analysis.
      LAMP Module 6.3 p. 357 Problem 4 Part B (Extra Credit)

    June 17 - Mon
    1. Test 1 revisions due - worth +7/90. See "Test 1 Revision Comments" found on the Practice Solutions, Problem Set Solutions, and Demos link from the WebCT homepage.
    2. Test 2 on Chapters 1-4 Review Sheet for Test 2

    June 14 - Fri
    • Problem Set 5 Due at 5pm Guidelines
      4.4 12, 16, 24, 26, 53
      LAMP Module 2.4 Problem 11 p. 91-92 (WORTH MORE) Hints
      4.5 20, 22, 24, 44
      4.6 20, 22, 25, 27

    June 12 - Wed
    • Problem Set 4 Due at 5pm Problem Set Guidelines,
      4.1 32, 35, 38
      LAMP 2.2 p. 60-61 number 6 (WORTH MORE) Hints
      4.2 (19, 20, 21, 22, 31 if it is a vector space then just state that it is because it satisfies all of the vector space axioms , but if it is not, explain in detail by showing that one axiom is violated as in class)
      4.3 (14 if it is a subspace then just state that it is because it is closed under addition and scalar multiplication, but if it is not, explain in detail by showing that one of these is violated, as in class), 21
      LAMP 5.1 p. 266 number 3 (EXTRA CREDIT)

    June 10 - Mon
    June 7 - Fri
    • Problem Set 3 Due at 5pm Problem Set Guidelines Note: Det(R); finds the determinant of a defined Matrix R, using the with(Lamp): with(LinearAlgebra): packages.
      3.1 36, (43 a and c), 46
      3.2 29, (30 a and c)
      3.3 (28 by hand and on Maple), (34 AND If a unique solution to Sx=b exists, find it by using the method x=S^(-1) b. ), 47, 48.

    June 6 - Thur
    1. Practice Problems 3.1 numbers 19, 21, 23, 25, 31, 45, 53
    2. Practice Problem 3.2 number 23
    3. Practice Problems 3.3 numbers 3, 11, 29, 31, 35

    June 5 - Wed
    • Problem Set 2 Due at 5pm See Problem Set Guidelines and Chapter 2 Maple Commands and Hints
      2.1 28, 50.
      2.2 31, (32 a, b and c).
      LAMP 3.3 p. 132 Problem 4. Extra Credit for Problem 3
      2.3 12, (14 by hand and on Maple), 28a, 37, (38 c and d).
      2.5 10, 16, 24
      LAMP 3.4 Markov Chains p. 147 Problem 4. Extra Credit for Problem 3.

    June 3 - Mon
    1. Practice Problems 2.1 numbers 7, ( 9, 11 by hand), 15, 19, 21, 23, (30 by hand), 31, 37, 47.
    2. Practice Problems 2.2, do 17, 18, 33, 35, 55.
    3. Practice Problems 2.3 5, 7, 9
    4. Begin working on problem set 2 - 2.1, 2.2, LAMP 3.3, and 2.3

    May 31 - Fri
    • Problem Set 1 Due at 5pm - See Problem Set Guidelines and Problem Set 1 Maple Commands and Hints and also see additional postings on the WebCT bulletin board.
      1.1 (24 on Maple), 56, 70,
      1.2 For (30 and 32, do them by hand and also on Maple) (on Maple use no more than 2 commands to solve each problem), 42, 57, 58,
      1.3 22, 24,
      1.3 LAMP p. 33 Problem 3: Design a ski jump.

    May 29 - Thur
    1. Read section 1.2 and 1.3
    2. Practice Problems 1.2 (do these by-hand since you need to get efficient at the by-hand method) numbers 13, 15, 17, 19, 21, 25, 27, 41, 47
    3. Follow directions on Lab 1 Directions for WebCT in order to post a message to the forum containing you and Dr. Sarah. If you have already posted a message to me, check for my reply.
    4. Continue working on problem set 1.

    May 28 - Wed
    1. Read pages 2 - 5 in LAMP (Module 1.1 Section 1).
    2. Read p. xiii and section 1.1 in text.
    3. Practice Problems 1.1 numbers 7, 15, 19, 33, 45, 51, 61, 69. (solutions to odd problems are in the back of the book).
    4. Begin working on problem set 1.