22M:034 Engineering Math IV: Differential Equations

22M:034 (MATH:2560:0091) Engineering Math IV: Differential Equations

Fall 2010 (Section 091) 9:30A - 10:20A MWF 217 MLH

Should you buy the 8th or 9th edition of Boyce and DiPrima

Instructor:  Dr. Isabel Darcy 

Office: B1H MLH               Phone: 319-335-0778         Email: idarcy AT math.uiowa.edu           
Office Hours: MW 11:40 - 12+, F 11:40 - 12:20 and by appt. plus discussion section Th 1:30pm - 2:30pm in SH 176,
Note: + means I will be also available directly after the office hour, normally for as long as needed.

Syllabus

Engineering Tutoring Program Schedule (Currently Sunday-Thursday 6-9 in room 3124 SC - free)

Links to other websites

Review/Problem sessions: Wednesday [12:00 - 1:30pm in 110 MLH] and [3 - 4:00pm in B13 MLH]

Final exam in 3505 SC on Thursday, December 16, 2010 from 9:45-11:45am (exam period 20)

Assignment 1 (due 9/3)
Read Sections 1.1 - 1.4, 2.1, 2.2;
1.1: 1,2,11,14 - 20all, 28;
1.2: 1,7,8,9,14,17;
2.1: 1, 2, 8, 18, 19;
2.2: 1, 2, 13, 14, 25;
Read Sections 2.3, 2.4

Assignment 2 (due 9/10)
2.3: 7-10, 16, (20-23)a, 25a, 29
2.4: 27 - 31
2.5: 15, 22b
p. 135: 36, 42, 47, 48-51 (note p. 135 in 9th edition = p. 133 in 8th)

Assignment 3 (due 9/17)
3.1: 2, 5, 8, 11, 14, 17
3.2: 1, 2, 3, 13, 14, 15
3.3: 1
3.4: 3, 9, 12, 14

Assignment 4 (due 10/1)
3.3: 9, 12, 15, 18, 21
3.7: 1, 5, 7, 11
and
3.7: 12, 14, 19
3.5: 1, 3, 9, 13, 19a, 21a, 22a

Assignment 5 (due 10/8)
3.8: 1, 5, 7, 6, 8

Start computer assignment on amplitude modulation and resonance.
See also http://www.engineering.uiowa.edu/~engmath4/ for additional info - parts II and III, (courtesy of Dr. Branson).

Assignment 6 (due 10/15)
6.1: 3, 13, 14, 15, 18

computer project on amplitude modulation and resonance due Wednesday 10/20

Assignment 7 (due 10/22)
6.2: 2, 5, 8, 11, 14, 19, 20, 22, 23
6.3: 5, 11, 14, 15, 16, 19, 21
for 8th edition conversion, click here

Assignment 8 (due 11/5)
6.3: 30, 31, 34, 35
for 8th edition conversion, click here
6.4: 2, 3, 4, 10
6.5: 2, 5, 8, 11, 12, 17, 18

Assignment 9 (due 11/12)
6.6: 8, 9, 13, 15, 17
7.1: 3, 4, 5, 6, 7
7.2: 4, 23, 25

Assignment 10 (due 11/19)
7.3: 15, 16, 17*
for 8th edition conversion, click here
7.4: 5
7.5: 1 (solve, do not graph).

Assignment 11 (due 12/3)
7.5: 5, 7 (solve, do not graph)
7.5: 24, 25, 27, 29
9.1: 1

Due 12/8: Proof list including hints. Submit a list of at least 5 theorems plus hints for proving them. At least 3 of these theorems must come from chapters other than ch 6. You may also include a list of theorems you do not wish to appear on the final exam.

Due 12/8: computer assignment on energy and phase plane methods (due Monday 12/6).   Include derivation of "energy". Do a DEplot for each of the following homogeneous equations (p. 5):
the hard oscillator
the soft oscillator
the damped hard oscillator
the damped soft oscillator

See also http://www.engineering.uiowa.edu/~engmath4/ for additional info (courtesy of Dr. Branson).

Assignment 12 (due 12/10)
3.6: 4, 10, 15
for 8th edition conversion, click here

Linear Algebra

Note: Old exams are available from my previous course websites:
          22M:034:081 Engineering Math IV: Differential Equations 8:30A - 9:20A MWF 105 MLH (Fall 08)
          22M:034:102 Engineering Math IV: Differential Eqns. 10:30A - 11:20A MWF 210 MLH (Spring 05)
          22M:034:102 Engineering Math IV: Differential Equations TR 10:55 - 12:10, 118 MLH (Fall 03)

TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on date/section for pdf file of corresponding class material):
 

Monday Wednesday Friday
Week 1 8/23:  ch 1 8/25:  maple slope fields 8/27:  2.1, 2.2 2.2
Week 2 8/30: 2.1 - 2.3 int by parts 9/1: 2.4, Ex 3, quiz 1, answers 9/3: 2.5, p. 133, partial fractions
Week 3 9/6: Labor day 9/8:  3.1, linear fns quiz 2 info 9/10:  3.2, 3.3
Week 4 9/13: 3.2, 3.4 9/15:  review 3.1 - 3.4 9/17:  3.7, quiz 2 answers
Week 5 9/20: 3.7 9/22:  2.3 #22, Review 9/24:  Exam 1,   answers
Week 6 9/27:  3.5 9/29: 3.5, 3.7 10/1: 3.8,
Week 7 10/4:  3.8 10/6:  3.8, maple, 10/8:  6.1
Week 8 10/11: 6.1 10/13: 6.2 10/15: 6.2, spring
Week 9 10/18:  6.3 10/20: 6.3 10/22:  6.4, quiz 3, answers
Week 10 10/25: 6.4, resonance , 3.8 10/27: Review 10/29:  Exam 2 answers in 101 BCSB
Week 11 11/1:  6.5 11/3: 6.6 11/5: 7.1
Week 12 11/8: 7.1, 7.2 11/10: 7.2, 7.3 11/12: 7.3
Week 13 11/15: 7.5, 7.4 11/17: 7.4, 7.5, E.V. 11/19: 7.5
Thanksgiving break 11/22 - 11/26)      
Week 14 11/29:  7.5, 9.1 12/1: 9.1 maple 12/3:  9.1, maple, review 3.1 - 3.4, 3.6
Week 15 12/6: 3.6 12/8:  ch 3, 6.6 12/10:  Review, 2.3 #22, review 3.1 - 3.4, theorems

Final Exam 9:45 A.M. Thursday, December 16 2010 NOTE: LOCATION TBA