Math 341  Differential Equations


Spring 2012

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Course Syllabus

DATE ASSIGNMENT
01/31
Solutions to Differential Equations
Section 1.3, p. 24:  #1, 4, 5, 7, 10, 13, 17, 19, 21, 24, 25(u1 only)  [Due 02/07 -- updated:  Due 02/09]
Differentiation and Integration Review  Due [02/07  -- updated:  Due 02/09]
02/02
Direction Field Examples using Maple
Section 1.1, p. 7:  #1(by hand) 2-4, 7, 9, 11, 14, 15-20(all), 21, 22, 23, 25, 28, 30, 31  [Other than #1, use Maple to draw the direction fields]  [Due 02/09 -- updated:  Due 02/14]
02/07
Section 2.5, p. 88: #[1, 3, 5, 6, 8, 9, 11, 13 Do not sketch solns in ty-plane], 16(a), [19(b) Use the eqn in (a) and sketch the phase plane. Then answer (b) ], 20, 21, [22(a) Then answer: For any initial condition y(0)  = y0 , what will the proportion of the population infected with the disease approach as t approaches infinity? ]   [Due 02/14]
Maple Survival Basics (pdf file)
Maple Exercises (Maple 15 worksheet file)   [Due 02/17]
Maple Exercises Part 2 (pdf file)  [Due 02/17]
02/09
Section 2.4, p. 75:  #7-12(all) [Due 02/16]
Section 2.2, p. 47:  #1, 4, 5, 7, 9, 11, 12, 15, 19, 21, 25, 26 [Due 02/16]
02/14
Section 2.1, p. 39:  #[1, 4, 7, 10 part (c) only], 16, 19, 20, 23, 25[Note:  limit as t goes to 0], 28[Hint:  Write down two equations that will satisfy y(t) = 0 and also that it will turn around at that point.] [Due:  02/21]
Section 2.4, p. 75:  #1, 3, 6, 32  [Due:  02/21]
02/16
Section 2.6, p. 99: #1-5(all), 7, 9, 11, 12, 13, 15, 18  [Due:  02/23]
Solve the mixing problem given in class.
02/21
Section 2.3 Homework (Part 1)  Includes Section 2.3, p. 59:  #1-5(all), 19, 7, 8, 10, 16, 20, 21, 23 [Due 03/01]
02/23
More Modeling Applications [Due 03/01]
Section 2.3, p. 59:  13, 14, 15 [Due 03/01]
02/28
Section 3.1, p. 144: #1, 4, 5, 8, 9, 12, 15, 17, 20, 21, 23 
03/01
Section 3.2, p. 155: #1-13(odd), 25, 27, 29
Section 3.3, p. 163:  #1, 3, 4, 7, 9, 13, 17, 19, 21, 23, 25
03/06
Exam 1 Review Sheet w/answers
03/08
Exam 1
03/13
Section 3.4, p. 171: #1, 4, 7, 10, 13, 15, 17, 38, 39 [Due 03/27 -- updated:  Due 03/29 w/ the rest of 3.4]
Section 4.2, p. 231: #11, 14, 16, 17, 23, 29, 31, 35 [Due 03/27 -- updated:  Due 03/29]
03/15
Section 3.4, p. 171:  #24, 26, 27, 28 [Due 03/29]
Section 3.5, p. 183:  #1, 2, 7, 11, 13 [Due tbd (w/the rest of  3.5 assigned next time)]
03/27
Section 3.5, p. 183: #1, 2, 3, 7, 10, 11, 13, 15, 17, [Part (a) only: 19, 20, 22, 25] [Due 04/03]
Section 4.3, p. 237: #3, 6, 9, 10, 13, 16, 18 [Due 04/03]
03/29
Variation of Parameters
Section 3.6, p. 189: #3, 5, 6, 7, 9, 10, 12, 13, 16, 17 [Due 04/05]
Section 5.4, p. 276: #1, 4, 7, 10, 13, 16 [Due 04/05]
04/03
Section 3.7, p. 202:  #3, 5, 7 -- if you want, you can start on #9, 11, 17, 20  [Tentatively Due 04/12 (with the rest of 3.7 and 3.8) -- updated:  Not turned in because of 04/19 exam.]
04/05
Section 3.7, p. 202:  #(3, 5, 7 previously assigned),  9, 11, 17, 20 [Tentatively Due 04/12 -- updated:  Not turned in because of 04/19 exam.]
Section 3.8, p. 209:  #5, 7, 10, 11, 15, 17, 18 [Start on them, but we will continue discussing on Tuesday] [Tentatively Due 04/12 -- updated:  Not turned in because of 04/19 exam.]
04/09
Tacoma Narrows Video on YouTube
Finish Section 3.8 Homework
Section 3.7, p. 202:  #8, 12, 18
Section 5.1, p. 249:  #2, 3, 5
04/12
Section 5.1, p. 249:  #(2, 3, 5 previously assigned), 17, 21, 23, 24, 27
Exam 2 Review Sheet
04/17
Exam 2 Review Sheet w/answers
04/19
Exam 2
04/24
Go over Exam
Section 5.4, p. 276: #17, 21, 22, 25, 28, 29, 31, 33
04/26
Steps for Series Solutions about an Ordinary Point
Section 5.2, p. 259: #1, 2, 6, 8, 14, 15, 16 [Don’t redo #2 & 6 for #15 &16. Note that #8 is centered about x0 = 1.]
05/01
For the following 5 problems, do (a)  Show that x =0 is a regular singular point and (b)  Determine the indicial equation and solve for the roots (ie. exponents at the singularity)
Section 5.5, p. 282:  #1, 3, 7, 9, 16
05/03
Method of Frobenius
Section 5.5, p. 282:  Finish #1, 3, 7, 16  [You do not need to finish #9]
Showcase Extra Credit
05/08
Work on Section 5.5 Homework
05/10
Final Exam Review
Final Exam Review w/ answers
Final Exam Take-Home Problem [Due:  Thursday, May 17 by 2pm]

Click link for Finals Week Schedule and Office Hours
05/14
Reading Day
Monday  Reading Day
(Optional) Review Session 12:00-1:00 pm  (tentatively in CH 011)
05/17
Thursday Final Exam 8:00-10:00am (comprehensive)
Take-Home Portion due by 2pm

Old Assignments/Quizzes/Exams Spring 2011

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