Instructor: Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: 25J MLH
Phone: 319335 0770
Email: isabeldarcy AT uiowa.edu
Ways to get help:
Integration Prerequisites:
The following free supplemental online book contains many nice examples and good explanations: Paul's Online Notes: Differential Equations
TENTATIVE CLASS SCHEDULEALL DATES and CONTENT SUBJECT TO CHANGE:
Tentative Schedule  Announcements  
Week 1  

html version of ICON page on partial fractions  
1/19  1.1, 1.2 = 2.2 , notes  
1/21  notes , ch 1 (pptx) , old notes for ch 1 and 2 (pdf)  
Week 2  
1/24  2.2 + HW2 hints (pptx) ,
2.2 annotated slides (AM pptx),
(PM pptx) , 2.1 Integrating Factor AM notes, PM notes, older notes 
Video: Review of 2.1: Solving first order LINEAR differential equation using an integrating factor (15:46 min) 
1/26  2.2 example(pptx) , 2.3 Application: example from p. 9 of old notes for ch 1 and 2 (pdf)  
1/28  Quiz 1 and HW hints.  
Week 3  
1/31  2.4: Existence and Uniqueness slides, annotated slides  Video: Theorem 2.4.2/domain (28:41 min) 
2/2  2.5 Stability slides, annotated slides 2.4&2.5AM 2.4&2.5PM  
2/4  
Week 4  
2/7  2.8 Approximating solutions (slides), annotated slides 2.5&2.8PM AM, PM 
Quiz 2: Thursday over HW 2 and 3 Video: 2.7: Euler's method for approximating a function using tangent lines (27:00 min) 
2/9  2.8, 2.7, 3.1),  
2/11  3.1  3.4, annotated slides AM PM  
Week 5  
2/16  3.1  3.4, annotated slides AM PM  For HW 5, notice the behavior of the solutions. Some of these solutions will model mechanical/electrical vibration problems (section 3.7)
Hint for problem 15: to use recommended substitution, note 
2/16  3.1  3.2, annotated slides AM PM Linearity, 3.1  3.4, 3.5, annotated slides AM PM  
2/18  3.5, annotated slides PM, 3.5 worksheet, answers with explanations.  
Week 6  
2/21  3.5, 3.6, annotated slides AM, PM 
Finish 3.5 problems in HW 6 BEFORE Monday's exam 1
3.5 worksheet (this is from Wednesday's 3/10 lecture, but redoing them yourself will help you make good guesses since you can check
answers with explanations. 
2/23  3.6, annotated slides AM, PM  
2/25  Review and quiz 3  
Week 7  
2/28  Exam 1 Problem Session 
Exam 1: 6:30PM  8:00PM Monday Feb 28 in LR1 VAN over Chapters 1 and 2 and 3.13.5 
3/2  3.7, 3.8 , annotated slides AM, PM  
3/4  3.7, 3.8 , annotated slides AM, PM 3.7, 3.8 review, 4.1, annotated slides AM, PM  
Week 8  
3/7  3.8, 4.1 , annotated slides AM, PM  For section 3.6 HW,use matrix form if you use a formula (this will make section 4.4 much easier).
3.7 worksheet (optional  includes more advanced topics NOT covered) 
3/9  3.8, 4.1, annotated slides AM, PM ch 4, annotated slides AM, PM  
3/11  3.8, 4.1, 4.2  
Week 9  
3/21  4.3, 4.4 (will add update after class on Monday) (update) 
Mechanical Vibration review
Solving higher order linear homogeneous DE (See also March 11 slides) Intro to Ch 6: LaPlace Transform

3/23  4.4, 6.1 notes  
3/25  6.1  6.3, in class quiz 4  
Week 10  
3/28  6.2, 6.3, 6.6, 6.4  Some review problems including answers 
3/30  6.3  
4/1  6.4, 6.5,  
Week 11  
4/4  6.3  
4/6  6.4 example  
4/8  Review and in class quiz 5  
Week 12  
4/11  Exam 2 problem session  Exam 2: 6:30PM  8:00PM Monday April 11 in LR1 VAN over Chapters 3 and 4 and 6.16.4. 
4/13  6.5, 6.6  
4/15  7.1, 7.4, 7.5, annotated slides AM, PM, 2022 notes  
Week 13  
4/18  7.1, 7.4, 7.5, annotated slides AM, PM, 7.5 graphing, 7.5 graphing, 7.6  For 7.5 graphs, you might consider using this pdf for your graphs 
4/20  7.5, 7.6  
4/22  7.6, 7.7, 2022 class notes for 7.7  
Week 14  
4/25  9.1, 9.2  
4/27  9.1, 9.2 , notes and sample quiz  
4/29  9.1, 9.2 , and in class quiz 6  
Week 15  
5/2  9.3 , annotated  
5/4  Review  
5/6  
Final's week  
Thursday May 12  Final exam: 10:00AM  12:00PM 05/12/2022 Thursday in LR1 VAN  