Math 3280 Differential Equations with Linear Algebra
Fall 2005
Prof. Peckham
Homeworks and Tests
Text: Differential Equations and Linear Algebra,
by Henry Edwards and David Penny, second edition, Pearson/Prentice Hall, 2005 (First Edition 2001). EC=Extra Credit problems; you may 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.
- Set 1 Due Thursday Sept. 8:
- Read Chapter 1: Sections 1.1, 1.2 (only through example 3)
- Section 1.1: 6, 8, 12 ,16, 22, 32, 36. EC: 45 (Hint: use 43.). Additional: 1, 5, 15, 17, 19, 27, 35, 37
- Section 1.2: 2,8,12,24. EC: 20, 44 (suggestion: use Mathematica.). Additional: 1,31
- Lab 1 Introduction to Mathematica. Tuesday Sept. 6
Due Tuesday Sept. 13 to Fenghuan Wang.
- Set 2 Due Thursday Sept. 15:
- Read Sections 1.3, 1.4, 1.5.
- Section 1.3: 1-6 (photocopy of p26 provided in class), 11-14, 21
- Section 1.4: 2 ,8 ,17, 20 ,27
- Section 1.5: 2 ,4, 10
- Lab 2: Introduction to Software, Part 2
Tuesday, Sept. 13. Due Wed. Sept. 21 to Fenghuan Wang.
- Set 3 Due Thursday Sept. 22:
- Read Sections 1.6 (pp 58-63 and 69-70), Chapter 1 summary, 2.1, 2.2
- Section 1.4: 36, 49, 51; EC: 69
- Section 1.5: 12,24,32,36; EC: 38
- Section 1.6: 2,22,23,46
- 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.
- Section 2.4: 1
- Lab 3: Comparing Graphical, Numerical, and Analytic Solutions to the Logistic Differential Equation.
Tuesday Sept. 20
Due Wednesday Sept. 28 to Fenghuan Wang.
- Exam 1: Chapters 1 and 2. Thursday Sept. 29, 2005.
- Set 4 Due Thursday, October 6, 2005
- 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)
- Lab 4: Applications of First Order Differential Equations
Tuesday Oct. 4, 11
Due Wednesday Oct. 12-- moved to Wed. Oct. 19 to Fenghuan Wang.
- Set 5 Due Thursday, October 13, 2005
- 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, 32, 34, 39
- Section 3.6: 1, 4, 11, 18, 21, 28, 33 (top row of A inverse only), 43, 52
- Set 6 Due Thursday, October 20, 2005 - Moved to Monday October 24
- Read Sections 4.1, 4.2, 4.3
- 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.
- Set 7 Due Thursday, October 27, 2005
- Read Sections 4.4, 4.7, 5.1, 5.2
- Section 4.4: 1, 2, 10, 12, 16, 17, 25
- 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, 52, EC: 27.
- Section 5.2: 1, 8, 13, 21, EC: 38.
- Lab 5: Resonant Forcing of a Spring-Mass System
Tuesday Oct. 26.
Due date: Wednesday, Nov. 9 to Fenghuan Wang.
- Exam 2: Chapter 3 (secs 1-6), 4 (secs 1-4,7), 5 (secs 1,2)
and Lab 4 material.
Thursday Nov. 3, 2005.
UPDATE: no lab 4 material. Link to practice exam
here.
- Set 8 Due Thursday, November 10, 2005. UPDATE: Due date moved to
Monday November 14.
- Read Sections 5.3, 5.4, 5.5, 5.6
- Section 5.2: 25, 26
- Section 5.3: 2, 9, 33, 39, 40, 52.
- Section 5.4: No problems assigned other than Lab 5.
- Section 5.5: 1, 2, 3, 16, 21, 22, 25, 30, 47, 57.
- Section 5.6: No problems assigned other than Lab 5.
- Lab 6: Differential Equations and Linear Algebra with Mathematica
Tuesday Nov. 15, 22. Do in lab or submit writeup by
Wednesday, Nov. 23 to Fenghuan Wang.
- Set 9 Due Monday Nov. 21:
- Read Sections 6.1, 7.1 (skip Examples 5,6,7), 7.2, 7.3
- Section 6.1: 1,13,23,27,36 (for 3x3 matrix only)
- Section 7.1: 1,2,8,24
- Section 7.2: 1,3,12,14,18,23
- Section 7.3: 1,9,11,17,27 (For 1,9,11 - no computer tasks are required.)
- Set 10 Due Thursday Dec. 1:
- 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; EC: 29.
- Lab 7: Systems of Differential Equations: Phase plane analysis.
Tuesday, Nov. 29 and Tues. Dec. 6.
Due Wednesday, Dec. 7.
- Set 11 Due Monday Dec. 5:
- Section 10.5: 1,4,6,11,16,20,25; EC: 32.
- Exam 3: Chapter 5,6,7,9,10, and labs on resonant forcing and phase planes. Details to be announced.
Thursday Dec. 8, 2005.
You may bring notes on one-half of one 8 1/2 by 11 sheet - one side only.
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.
Review Problems, ...
- Final Exam Mon. Dec. 19, 4-5:55pm in Kirby Plaza 312. Cumulative: Chapters 1 - 10.
Link to practice exam problems and partial solutions for material NOT covered in exams 1,2 or 3.
here.
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and was last modified on
Monday, 02-Oct-2006 13:00:55 CDT.