• Syllabus
• Lab Procedures and Guidelines

Text: Differential Equations and Linear Algebra, by Steven W. Goode, second edition, Prentice Hall, 2000.

• Set 1 Due Wednesday Sept. 11:
  • Skim Preface, Read Chapter 1: Sections 1.1 (exclude subsection 3: The orthogonal trajectory problem), 1.2
  • Section 1.1: 1,4
  • Section 1.2: 1,2,6,7,17,18,19,22,24,33,35

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• Lab 1 Introduction to software. Thursday Sept. 5, 2002 Due Friday Sept. 13, 2002 to Matt Zagrabelny.

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• Set 2 Due Wednesday Sept. 18:
  • Read Sections 1.3, 1.4, 1.5. Understand phase lines (from class) as well.
  • Section 1.3: 17, 19.
    Also: For the following differential equations, sketch a phase line and use (only) it to sketch several accompanying solution curves. Include all equilibrium solutions.
    A. y'= (y-1)(y+2), B. y'= (y-1)(y-2)(3-y)
  • Section 1.4: 1,3,6,15,24, Extra credit: 17
  • Section 1.5: 1,2

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• Lab 2 Graphs of solutions to Differential Equations. Thursday Sept. 12, 2002 Due Friday Sept. 20, 2002 to Matt Zagrabelny.

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• Set 3 Due Wednesday Sept. 24:
  • Read Sections 1.6, 1.7 (Mixing Problems only), 1.8, 1.10 (exclude Exact DE's), 1.11 (Euler's method only)
  • Section 1.6: 1, 17, 23 (solve using linear, not separable technique)
  • Section 1.7: 1, 4, 7
  • Section 1.8: 1 Cancel, 2 Cancel, 9, 41, 53
  • Section 1.11: 4
  • Section 2.1: 3, 4, 7

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• Set 4 Due Monday Sept. 30:
  • Read Sections 2.2, 2.3, 2.4
  • Section 2.2: 1, 2 Cancel (hand in for extra credit if already done)
  • Section 2.3: 1, 2, 3, 13, 20ab, 20c Extra Credit
  • Section 2.4: 1, 5, 7 (postpone), 8 (postpone), 16

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• Exam 1 Thurs. Oct. 4. Topics: Chapter 1, Sections 2.1 - 2.4, and Phase Lines

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• Lab 3 Applications of First order Differential Equations. Thursdays Sept. 26 and October 10, 2002
  Due Monday Oct. 14, 2002 to Matt Zagrabelny.

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• Set 5 Due Wednesday Oct. 16:
  • Read Sections 2.6, 3.1, 3.2, 3.3. Know why Sec. 2.8 is important (yp=v1*y1 + v2*y2).
  • Section 2.6: 1 (include the solution), 4 (make sure your sketch of the solution matches the initial conditions)
  • Section 3.1: 1, 4, 9, 10, 19
  • Section 3.2: 1, 7, 9, 12, 13b, 16, 26 (also compute (AB)^T and compare it with B^TA^T), 28
  • Section 3.3: 2, 3, 5, 6, 9

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• Set 6 Due Friday Oct. 25:
  • Read Sections 3.4, 3.5, 3.6; 4.1, pp 242-244 of Sec. 4.2.
  • Section 3.4: 1 - 8, 9, 10, 11, 19, 20, 24
  • Section 3.5: 1, 3, 4, 13, 17, 21, 32, 49
  • Section 3.6: 2, 3, 4, 9, 10, 23
  • Section 4.1: 1, 3, 4, 5, 7, 12, 13, 16a, 17
  • Section 4.2: 1,2, 8, 13, 14

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• Set 7 Due Monday Oct. 28:
  • Read Sections 5.1, 5.2, 5.3.
  • Section 5.1: 1, 3
  • Section 5.2: 1, 3, 4, 5, 10
  • Section 5.3: 1, 3, 4, 5, 6, 9, 16, 17

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• Exam 2 Thurs. Oct. 31. Tentative topics: Chapters 2 - 5.

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• Set 8 Due Friday Nov. 8 -> Monday Nov. 11:
  • Read Sections 4.3, 5.4.
  • Section 4.3: 1, 2, 5, 6, 22, 25, 38, 39
  • Section 5.4: 1,2,4,9,11,12,23

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• Lab 4 Resonant Forcing of a Spring-Mass System Thursday Nov. 7
  Due Friday Nov. 15, 2002 to Matt Zagrabelny.

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• Set 9 Due Wednesday Nov. 20:
  • Read Sections 5.5-5.6, 6.1, 6.5
  • Section 5.5: 1,3 (book ans wrong), 4, 15, 18, 21, 28, 33
  • Section 5.6: 1,2,7,8,11,13,31
  • Section 6.1: 1,3,4,5
  • Section 6.5: 1,2,4,7,11,21,29

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• Lab 5 Differential Equations and Linear Algebra with Mathematica Thursday Nov. 21
  Due Wednesday Nov. 27, 2002. Check off tasks in lab or submit writeup to Matt Zagrabelny.

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• Set 10 Due Monday Dec. 2:
  • Read Sections 7.1-7.3, Skim 8.1, Read 8.2: pp 450-51 and Def 8.2.3 to the end of the section, Read 8.3, Skim 8.4, Read 8.5
  • Section 7.1: 1,2,4,5,7,11,12,18
  • Section 7.2: 3,4,5,6,7
  • Section 7.3: 6,7,8,16,26
  • Section 8.2: 15,16,18
  • Section 8.3: 1,4,7,8,15,17
  • Section 8.5: 1, Extra Credit: 2

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• Exam 3 Thurs. Dec. 5. Secs 4.3, 5.4 - 5.6, 6.1, 6.5, 7.1 - 7.3, 8.1-8.5.

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• Set 11 Due Wednesday Dec. 11:
  • Read Sections 9.1 (skim the part on piecewise continuous functions), Table 9.2.1, 9.4 on Laplace Transforms.
  • Section 9.1: 1,4 (using integration by parts), 9, 13,14
  • Section 9.2: 7, 11, 14, 17
  • Section 9.4: 1,4, 27, 25 Solve for Y(s) only; extra credit: solve for y(t).
  
  

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• Lab 6 Systems of Differential Equations Thursday Dec. 12, 2002
  Due Friday Dec. 13, 2002. Check off tasks in lab or submit writeup to Matt Zagrabelny.

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  Review

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• Final Exam Tues. Dec. 17, 12-2 in ABAH 235. Cumulative: Chapters 1 - 9.

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• Go to the Fall 2002 Math 3280 Syllabus
• Go to Bruce Peckham's Home Page
• Go to the Department of Mathematics and Statistics Home Page