Instructor: Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: 25J MLH
Phone: 319-335- 0770
Email: isabel-darcy AT uiowa.edu
Ways to get help:
Integration Pre-requisites:
The following free supplemental online book contains many nice examples and good explanations: Paul's Online Notes: Differential Equations
TENTATIVE CLASS SCHEDULE-ALL 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 3.1-3.5 |
| 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 6.1-6.4. |
| 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 | |