Instructor: Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office:B1H MLH
Phone: 335 0778
Email: isabeldarcy AT uiowa.edu
Office hours: M 1:05 1:15pm, T 2:30 3:20, WF 12:25  1:15pm, 3:30pm  3:40pm +
and by appointment.
Note: + means I will be also available directly after the office hour, normally for as long as needed.
Wiki Site: https://wiki.uiowa.edu/display/2448104/Class+list
Note: Old exams from MATH:3600 are available from my previous course
website:
MATH:3600 Introductn Ordinary Differential Equatns (Spring 13)
Note: Old exams from 22M:034 are available from my previous course
websites:
22M:034:091 Engineering Math IV: Differential Equations 9:30A  10:20A
MWF 217 MLH
(Fall 10)
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 SCHEDULEALL DATES SUBJECT TO CHANGE (click on date/section
for pdf file of corresponding class material):
Monday  Wednesday  Friday  HW/Announcements  
Week 1  1/20: 1.1  1/22: ch 1, 2.2 , Ex 2.4.1  Note the HW assignments below are TENTATIVE. Also, the due dates WILL CHANGE.  
Week 2  1/25: 1.2, 2.2 ex  1/27: ch1, 2.1, 2.2  1/29: 2.1  2.3 int by parts, 1:1  
Week 3  2/1: 2.3, 2.4  2/3: 2.4  2/5:
2.4ex
partial fractions
p. 134, 5,
quiz 1, answers 
HW 1 (due 2/5) 11, onto, bijection 1.1: 1,2,11,14  20all, 28; 1.2: 1,7,8,9,14,17; 1.3: 1, 5, 6, 9 2.1: 1c, 2c, 8c, 18, 19 2.2: 1, 2, 13, 14, 25 2.3: 710 2.4: 1 
Week 4  2/8: Ex 2.4, 2.5 ex, IVP ex, Ex 2.4.1,  2/10: 2.5, 2.8  2/12: 2.8, linear fns, 3.1 
HW 2 (due 2/12) 2.3: 16, (2023)a, 25a, 29 2.4: 2, 8, 9, 15, 16, 21  25, 27  31, read 32 p. 134, 135: 36, 42, 47 
Week 5  2/15: 3.2, 3.3, 3.4  2/17: review 3.1  3.4  2/19:
3.2,
3.3,
quiz 2 (cumulative), answers 
HW 3 (due 2/19)
p. 134, 135: 4851 2.5: 8 (also draw the direction field), 12, 15, 20, 22 2.8: 1, 2, [3, 6 a & c  Use induction to prove your formula for phi_n. Also prove convergence] 3.1: 2, 5 A.) By giving a specific counterexample, prove that the following functions are not linear functions: i) f(x) = \sqrt{x}. ii) g(x) = 1/x B.) Prove that the following functions in a linear function: h(x) = 4x 
Week 6  2/22: 3.2, 3.3, 3.4  2/24: 3.2  3.5  2/26: 3.5 
HW 4 (due 2/26)
3.1: 8, 11, 14, 17, 21 3.2: 1, 2, 3, 9, 10, 13, 14, 15, 16, 21, 25 3.3: 1, 9, 12, 15, 18, 21 3.4: 3, 9, 12, 14 
Week 7  2/29: 2.3 #22, Review  3/2: Exam 1, answers  3/4: 5.1, 5.2 
HW 5 (due 3/4)
3.5: 1, 5, 11, 15, 21a, 23a, 24a, 26a 
Week 8  3/7: 5.2  3/9: 5.3, 5.4  3/11: 5.3, 5.4 
HW 6 (due 3/11) 5.1: 7, 8, 12, 13, 24, 28 5.2: 2, 7, 9 Note this is LONG HW assignment. You must provide complete answers including induction proofs. a.) Find the recurrence relation for the power series solution about the given point x_0 b.) Find the first four terms in each of two solutions y_0, y_1 (unless series terminates sooner). d.) Find the general term, a_n, and prove it. Determine the general solution y = a_0y_0 + a_1y_1 and determine the radius of convergence c.) Show y_0 and y_1 form a fundamental set of solutions by evaluating the Wronskian at x_0 For more on series solutions see Paul's Online Math Notes (for printing select pdf chapter notes) 
Week 9  3/21: 5.4,  3/23: 4.1, 7.2, 7.3, E.V.  3/25: 4.1, 7.1 
HW 7 (due 3/25) 5.2: 12 (do all of a  d as you did for HW 6), 22 (for 22, you only need to approximate the solution with a cubic polynomial for 22b). 5.3: 8, 9 (but only for 5.2: 2, 7, 9, 12), 20 5.4: 2, 3, 4, 7, 10, 24 
Week 10  3/28: 5.5, 5.5 part 2  3/30: 7.5, 7.4,  4/1: 7.5, 7.4,

HW 8 (due 4/3) 7.1 (use matrix form): 4, 5, 6, 7, 15 7.2: 4, 23, 25 7.3: 15, 16, 17 4.1: 4, 6, 7, 8, 18, 19bc 
Week 11  4/4: 7.6 E.V.  4/6: 7.6, 9.1 maple  4/8: ch7, 9.1, 9.1, maple 
HW 9 (due 4/10)  Note this is LONG HW assignment. 5.5: 3, : 7 (you must provide complete answers including induction proof and determine radius of convergence.) 7.5: 1a, 5a, 7a, 19, 24, 25, 27 
Week 12  4/11: 7.6, 9.1  4/13: 9.2, maple 
4/15:
9.3,
maplenonlinear
resonance ,
quiz 3, answers, study question, Answers 
HW 10 (due 4/17) 7.4: 1, 5 7.6: 4, 10 9.1: 20, 21 
Week 13  4/18: Review, handout list  4/20: Exam 2 answers  4/22: 9.3 
HW 11 (due 4/24 at the beginning of class) 9.2: 5 Read all HW answers for Ch 9 (see ICON). I STRONGLY recommend looking at each graph and determining stability type. Then check your answer by reading the text associated to the graph. 
Week 14  4/25: 9.3  4/27: 2.6  4/29: 2.6, 3.6
quiz 4, answers 
HW 12 (due 5/1) Problem 1: State one interesting question that has not been answered regarding ch 9. 9.2: 17, 18, 23, 26, 27 9.3: 5, 12 
Week 15  5/2: review 3.1  3.4, 3.5, ch 4, 5.6  5/4: 5.6  5/6: Revew 
HW 13 (due 5/8) 1.) Fully state 7 theorems that you would prefer to prove on the final exam (over other theorems). You do not need to provide proofs for this HW, just state the theorems. 2.) State at least one theorem that you do not want to prove on the final exam.
HW 14 (due 5/8)
Recommended problems (not HW):
Extra Credit (due 5/13 at 4pm, 2 points for each problem added to your HW
grade) 
Final's Week  5/13 Final Exam Friday 12:30PM  2:30PM  2013 final exam, partial answers 