Instructor: Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office:25J MLH
Phone: 335 0770
Email: isabeldarcy AT uiowa.edu
Office hours:
MWF 9:45  10:10am,
WF 1:30  2:15pm, W 3:30  3:45++ in MLH 25J (my office),
and by appointment.
Note: ++ means I will be also available directly after the office hour, normally for as long as needed.
I will
usually also be available after class on Fridays (and some Mondays).
Note: Old exams from MATH:3600 are available from my previous course websites:
MATH:3600 Introductn Ordinary Differential Equatns (Spring 13)
MATH:3600 Introductn Ordinary Differential Equatns (Spring 16)
MATH:3600 Introductn Ordinary Differential Equatns (Fall 16)
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)
Integration Prerequisites:
The following online book contains many nice examples and good explanations: Paul's Online Notes: Differential Equations
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  8/20: 1.1  8/22: ch 1, 2.2 (ppt, pdf), WA, ch 1 and 2,  8/24: ; 1.2, 2.2, int by parts  
Week 2  8/27: partial fractions, ch1, 2.1, 2.2  8/29: 2.1  2.3 1:1  8/31: 2.3, 2.4, (WA), maple (pdf) 
HW 1 (due Wednesday 8/29) 1.1: 1,2,10  16 all, 21, 23; 1.2: 1,5,7,8, 13; 1.3: 1, 2, 6, 9, 12 
Week 3  9/3: Holiday  9/5: 2.4  9/7:
2.4ex
p. 134, 5,
quiz 1, answers 
HW 2 (due Wednesday 9/5) 11, onto, bijection 2.1: 1c, 2c, 11, 12, 19 2.2: 1, 2, 11, 13, 25 2.3: 57 
Week 4  9/10: Ex 2.4, 2.5 ex, IVP ex, Ex 2.4.1,  9/12: 2.5, 2.8  9/14: 2.8, linear fns, 
HW 3 (due Wednesday 9/12) 2.3: 12, (1619)a 2.4: 1, 4, 5, 6, 11, 12, 17  21, 23  25, read 26 p. 101: 28, 32, 35 
Week 5  9/17: 3.1  3.5, ratio test  9/19: review 3.1  3.4  9/21:
3.3, 3.4
quiz 2 (cumulative), answers 
HW 4 (due Wednesday 9/19) p. 101: 36, 37 2.5: 2, 4, 7, 9 (also draw the direction field for 7 and 9), 15, 19, 21 2.8: 1, 2, [3, 4 a & c  Use induction to prove your formula for phi_n. Also prove convergence] 
Week 6  9/24: 2.3 #22, Review  9/26: Exam 1, answers  9/28: 3.2, 3.5 
HW 5 (due Wednesday 9/26)
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 3.1: 2, 4, 6, 10, 12, 13, 21 3.3: 1, 6, 9, 12, 13 3.4: 3, 10, 11 
Week 7  10/1: 3.5, answers, example  10/3: 5.1, 5.2  10/5: 5.2 
HW 6 (due Wednesday 10/3) 3.2: 1, 2, 3, 7, 8, 10  13, 16, 20 
Week 8  10/8: 5.3, 5.4  10/10: 5.4,  10/12: quiz 3 answers 
HW 7 (due Wednesday 10/10) 3.5: 1, 4, 8, 9, 11, 16a, 17a, 18a, 19a 5.1: 3, 6, 10, 11, 20, 23 5.2: 3 Note this is LONG HW problem. 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). c.) 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 d.) 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  10/15:  10/17: 5.5  10/19: 5.5 part 2, 7.3, E.V. 
HW 8 (due Wednesday 10/17) 5.2: 7, 9, 14 (for 7, 9, 14, do all of a  d as you did for HW 7), 19 (for 19, you only need to approximate the solution with a cubic polynomial for 19b). 5.3: 6, 7 (but only for 5.2: 3, 7, 9, 14), 16 5.4: 2, 3, 4, 5, 8, 15, 23 
Week 10  10/22: 5.5, study question, Answers  10/24: Review, handout list  10/26:
Exam 2 over 3.5, 5.1  5.5, 7.3 answers 
HW 9 (due Wednesday 10/31  next week, but 5.5 and 7.3: 14, 15 on exam) 7.1 (use matrix form): 3, 4, 5, 6, 12 7.2: 4, 17, 19 7.3: 13, 14, 15  Note this is LONG HW assignment. 5.5: 3, 6 (you must provide complete answers including induction proof and determine radius of convergence.) 
Week 11  10/29: 7.1, 7.4  10/31: 7.4  7.6, 9.1  11/2: 7.5, 7.4, 7.6, E.V.  HW 9 (due Wednesday 10/31) See week above 
Week 12  11/5: 7.6, 9.1 maple  11/7: 7.6, WA 
11/9:
ch 9 double quiz 4 over 2.1 and 7.5, answers 
HW 10 (due Wednesday 11/7) 7.4: 1, 7, 11 7.5: 1, 2, 5, 17, 18, 19 7.6: 8 
Week 13  11/12: graphs, ch 9, 9.3, WolframAlpha  11/14: ch 9  11/16: 9.3 
HW 11 (due Wednesday 11/14) 7.5: 13, 21 7.6: 4 9.1: 17, 18

Week 14  11/26: ch 9, maple, maple, maplenonlinear resonance ,  11/28: 3.6, Review 2.8, ch 5, slope fields  11/30: 3.6
double quiz 5: 2.8, ch 5, 2.5, ch 9, answers

HW 12 (due Wednesday 11/28) 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 13 (due Wednesday 11/28)
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. Note answers are from an older edition so not all problems match your HW (and many are numbered differently) You should check your answers, but all answers must be in your own words. 
Week 15  12/3: review 3.1  3.4, 3.5, 4.1, ch 4  12/5: Review: Induction (2.8, ch 5)  12/7: Review 
HW 14 (due Wednesday 12/5) Problem 1: State one interesting question that has not been answered regarding ch 9. 3.6: 9, 10 4.1: 1, 4, 5, 7, 13, 14bc 4.3: 7 4.4: 2 (solve using both method of undetermined coefficients and variation of parameters). 9.1: 17, 18 9.2: 4, 14, 15, 19 (use computer for part b) 9.3: 6, 9 (use computer for part d)

Final's Week  Final exam: 12/12/2018 8:00PM  10:00PM 218 MLH 
2013
final exam,
partial
answers 2016 final exam, partial answers 