• Syllabus
• Check grades recorded to date.

Labs

• Lab 1 Introduction to Mathematica, Tuesday Sept. 7. Due Wednesday Sept. 15 to GTA Brett Bozyk.
  Link to Lab 1 assignment. Link to Lab 1 Mathematica Hints.
  Additional Mathematica resources: Learn with guided examples tutorial from the "Welcome to Wolfram Mathematica 7" window which appears when Mathematica first launches.

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• Lab 2: Introduction to Differential Equations, Tuesday, Sept. 14. Due Wed. Sept. 22 to Brett Bozyk. Link to Lab 2 assignment.

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• Lab 3: Comparing Qualitative, Numerical, and Analytic Solutions to the Logistic Differential Equation. Tuesday Sept. 21 and 28. Due Wednesday Sept. 29 to Brett Bozyk. Link to Lab 3 assignment. Link to Lab 3 Separation of Variables Template.

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• Lab 4: Applications of First Order Differential Equations: Falling object. Tuesday Oct. 5, Due Wednesday Oct. 13 -> Friday Oct. 15 at noon. to Brett Bozyk. Link to Lab 4-6 assignment Comments about parachute problem added 10-12-10.

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• Lab 5: Applications of First Order Differential Equations:Compartmental Analysis. Tuesday Oct. 12, Due Wednesday Oct. 20. to Brett Bozyk. Link to Lab 4-6 assignment. Link to First Order Linear DE template.

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• Lab 6: Applications of First Order Differential Equations: Parameter Matching. Tuesday Oct. 19, 26. Due Wednesday Oct. 27. to Brett Bozyk. Link to Lab 4-6 assignment.

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• Lab 7: Resonant Forcing of a Spring-Mass System
  Tuesday Nov. 2, 9. Due Wednesday, Nov. 10 to Brett Bozyk. Link to Lab 7 assignment.

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• Lab 8: Differential Equations and Linear Algebra with Mathematica Tuesday Nov. 16, 23. Do in lab or submit writeup by Wednesday, Nov. 24. Link to Lab 8 assignment.

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• Lab 9: Systems of Differential Equations: Phase plane analysis. Tuesday, Nov. 30 and Dec. 7. Due Wednesday, Dec. 8. Link to Lab 9 assignment.

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HW and TESTS

HW problems below refer to Differential Equations and Linear Algebra, by Henry Edwards and David Penny, second OR third edition, Pearson/Prentice Hall, 2005/2008. EC=Extra Credit problems; you may arrange with me to work on EC problems after the HW Set due date. Problems labelled as "additional" are not to be turned in, but you are expected to know how to do such problems. All HW turned in should conform to Departmental Minimum HW Standards. Scratch work will not be accepted.

• Set 1 Due Friday Sept. 10:
  • Read Chapter 1: Sections 1.1, 1.2
  • Section 1.1: 5, 6, 11, 16, 22, 32, 36, 41. EC: 45 (Hint: use 43.). Additional: 1, 8, 15, 17, 19, 27, 35, 37
  • Section 1.2: 2,8,12,19,24. EC: 44 (suggestion: use Mathematica.). Additional: 1,31

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• Set 2 Due Friday Sept. 17:
  • Read Sections 1.3, 1.4, 1.5.
  • Section 1.3: 1-6 (photocopy provided in class), 13,14,17,18,21
  • Section 1.4: 2,8,17,20,27. Additional 1,9.
  • Section 1.5: 2,4,10

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• Set 3 Due Friday Sept. 24:
  • Read Sections 1.6 (except for Flight Trajectories and Exact Differential Equations sections), Chapter 1 summary, 2.1, 2.2
  • Section 1.4: 36, 49, 51; EC: 69
  • Section 1.5: 12,24,32,34,36; EC: 38
  • Section 1.6: 2,22,23,46; EC: 32.
  • Section 2.1: 9.13
  • Section 2.2: 1,4,14. For all 3 problems, ignore the book instructions. Instead, construct a phase line diagram and use it to (i) describe the long term fate of solutions for ALL initial conditions, and (ii) sketch several representative solution curves.

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• Set 4 Due Tuesday Sept. 28:
  • Read Sec. 2.3 (skim Resistance Proportional to Square of Velocity and Variable Gravitational Acceleration sections), 2.4 (through Example 2)
  • Section 2.3: 10
  • Section 2.4: 1,10

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• TEST 1: Chapters 1 and 2. 10:55-11:55 Friday Oct 1 in MonH 80. Sample test 1 link here. Non graphical solutions here.

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• Set 5 Due Friday, October 8
  • Read Sections 3.1, 3.2, 3.3
  • Section 3.1: 1, 14, 18, 19, 27, 33
  • Section 3.2: 1, 4, 10, 11, 24
  • Section 3.3: 4, 14, 15, 20, 21 (for 11 in Sec 3.2), 33, 34 (compare with p. 158)

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• Set 6 Due Friday, October 15
  • Read Sections 3.4 ,3.5, 3.6
  • Section 3.4: 2, 5, 9. 13, 17, 24, 26, 31, 40
  • Section 3.5: 1, 9, 12, 23, 34, 39 EC: 32
  • Section 3.6: 1, 4, 11, 18, 21, 28, 33 (top row of A inverse only), 43, 52
  • Section 3.7: EC: 4

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• Set 7 Due Friday, October 22
  • Read Sections 4.1, 4.2, 4.3, 4.4
  • Section 4.1: 1, 4, 7, 8, 9, 16, 21, 22, 25, 32, 33; EC: 41.
  • Section 4.2: 4, 5, 9, 15, 20, 28.
  • Section 4.3: 1, 2, 3, 6, 8, 12, 13, 19, 22; EC: 32.
  • Section 4.4: 1, 2, 10, 12, 16, 17, 25

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• Set 8 Due Thursday, October 28. (No class Friday Oct. 29)
  • Read Sections 4.7, 5.1, 5.2 (skip sections 4.5, 4.6)
  • Section 4.7: 1, 3, 5, 6, 9, 10, 13, 14, 15, 19, 23
  • Section 5.1: 2, 3, 10, 14, 17, 33, 35, 40, 43, 44, 45; EC: 27, 52.
  • Section 5.2: 1, 8, 13, 21; EC: 38.

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• TEST 2: Chapters 3 (secs 1-6), 4 (secs 1-4,7), 5 (secs 1,2) and Lab 4-6 material. Thursday Nov. 4, 6-7:30pm in MonH 80. (No class Friday Nov. 5)
  Sample test 2 link here. Partial solutions are here. Link to an (incomplete) summary of topics for TEST 2 here.

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• Set 9 Due Friday, November 12.
  • Read Sections 5.3, 5.4, 5.5, 5.6
  • Section 5.2: 25, 26
  • Section 5.3: 2, 9, 33, 39, 40, 42.
  • Section 5.4: No problems assigned other than Lab 7.
  • Section 5.5: 1, 2, 3, 16, 21, 22, 25, 30; EC: 57.
  • Section 5.6: No problems assigned other than Lab 7.

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• Set 10 Due Monday Nov. 22:
  • Read Sections 6.1, 7.1 (skip Examples 5,6,7), 7.2, 7.3, 7.6 (through example 1 only)
  • Section 5.5: 47
  • Section 6.1: 1,13,23,27,36 (for 3x3 matrix only); EC 19
  • Section 7.1: 1,2,8,24 (Hint: use F=ma)
  • Section 7.2: 1,3,12,14,18,23
  • Section 7.3: 1,9, 11 (For 1,9,11 - no computer tasks are required.), 17; EC 27.
  • Section 7.6: 1a

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• Set 11 Due Friday Dec. 3:
  • Read Sections 10.1 - 10.5
  • Section 10.1: 1,7,16,19,23,27,29,38; EC 40.
  • Section 10.2: 1,8.9.11
  • Section 10.3: 1,5,11,12,18,27,30
  • Section 10.4: 15, 18 [Hint: first use the trig identity sin^2(x)=(1-cos(2x))/2]; EC: 29.

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• Set 12 Due Monday Dec. 6:
  • Section 10.5: 1,4,6,11,16,20; EC 25; EC: 32.

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  HW information below here not confirmed.

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• TEST 3: Chapters 5,6,7,9,10, and labs on resonant forcing and phase planes. Thursday Dec. 9, 6-7:30 in MonH 80. (No class Fri. Dec. 10) A copy of the Laplace Transforms on the inside cover of the Penny and Edwards text will be provided. Link to practice exam (without phase plane for last problem) here. Solutions are here.

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• Final Exam Tues. Dec. 21, 10:00-11:55 am. Room MonH 80.. Cumulative: Chapters 1 - 10 and labs.
  Final Exam Review materials:
  Abreviated course summary: here.
  Test 1 partial answers: here.
  Test 2 partial answers: here.
  Test 3 partial answers: here.
  

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• Go to the Fall 2010 Math 3280 Syllabus
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