MATH:2560 Engineer Math IV: Differential Equations

Fall 2022

Section 0103: 8:30A - 9:20A MWF in 210 MLH

Section 0121: 9:30A - 10:20A MWF in 210 MLH

Section 0102: 11:30A - 12:20P MWF in 210 MLH

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

Syllabus for Section 0103, for Section 0102 and for Section 0121

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 ScheduleAnnouncements
Week 1
8/22 1.1, 1.2 = 2.2 ,    notes html version of ICON page on partial fractions

Videos: Integration by parts (12:44 min),    Linear algebra + partial fractions review (25:45 min),   Slope fields (45:18 min)

8/24 notes ,    ch 1 (pptx) ,    old notes for ch 1 and 2 (pdf)
8/26 2.2 + HW2 hints (pptx) ,    2.2 annotated slides (AM pptx),   (PM pptx) ,  
2.1 Integrating Factor AM notes,   PM notes,    older notes
Week 2
8/29 Fall 22 notes,     2.2 example(pptx) ,     2.3 Application:   example from p. 9 of old notes for ch 1 and 2 (pdf) Due Monday:online WP homework 1
Due Friday Homework 1b (html, python) due in class or OH.

Video: Review of 2.1: Solving first order LINEAR differential equation using an integrating factor (15:46 min)

8/31 2.3 Fall 22 notes
9/2 2.4: Existence and Uniqueness slides,   annotated slides, Quiz 1
Week 3
9/5 Holiday Due Wednesday:
Homework 2b (html, python) due in class or OH.
and online WP homework 2

Video: Theorem 2.4.2/domain (28:41 min)

9/7 2.5 Stability slides, annotated slides 2.4&2.5AM    2.4&2.5PM
9/9 2.4, 2.5, NEW slides
Week 4
9/12 3.1, 2.7(NEW slides), Due Monday:
online WP homework 3

Video: 2.7: Euler's method for approximating a function using tangent lines (27:00 min)

9/14 2.8 Approximating solutions (slides), annotated slides    2.5&2.8PM    AM,    PM 2.8, 2.7, 3.1), NEW slides
9/16 3.1 - 3.4, annotated slides AM    PM, Quiz 2
Week 5
9/19 3.1 - 3.4, annotated slides AM    PM Due Monday:
online WP homework 4

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
y' = dy/dt = (dy/dx)(dx/dt). Use chain rule to calculate y''.

9/21 3.1 - 3.2, annotated slides AM    PM       Linearity, 3.1 - 3.4, 3.5, annotated slides AM    PM
9/23 3.2, 3.5 worksheet,   answers with explanations.
Week 6
9/26 3.5, 3.6, annotated slides AM,   PM Due Monday:
online WP homework 5


9/28 3.5 worksheet,   answers,   3.5, annotated slides PM,  
9/30 Review and quiz 3
Week 7
10/3 Exam 1 Problem Session Due Monday:
Homework 6b 3.5 worksheet,   answers with explanations. due in class or OH.
and online WP homework 6

Exam 1: 6:30PM - 8:00PM Tuesday October 04/2022 in AUD MH
over Chapters 1 and 2 and 3.1-3.5

10/5 3.7, 3.8 , annotated slides AM,   PM
10/7 3.7, 3.8 , annotated slides AM,   PM 3.7, 3.8 review, 4.1, annotated slides AM,   PM
Week 8
10/10 3.8, 4.1 , annotated slides AM,   PM Due Monday:
Homework 7b (html, python) due in class or OH.
and online WP homework 7

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)
3.7 worksheet ANSWERS

10/12 3.8, 4.1, annotated slides AM,   PM, resonance
10/14 3.8, 4.1, 4.2
Week 9
10/17 ch 4, annotated slides AM,   PM, 3.6, annotated slides AM,   PM Due Monday:
Homework 8b (html, python) due in class or OH.
and online WP homework 8

Mechanical Vibration review

Solving higher order linear homogeneous DE (See also March 11 slides)

Intro to Ch 6: LaPlace Transform

10/19 4.3, 4.4 (will add update after class on Monday) (update), 4.4
10/21 4.4, 6.1 notes , ONLINE quiz 4
Week 10
10/24 6.1 - 6.3 Due Monday:
online WP homework 9

Some review problems including answers

10/26 6.2
10/28 6.3,   6.3
Week 11
10/31 6.3, 6.6, 6.4 Due Monday:
Homework 10b (html, python) due in class or OH.
and online WP homework 10
11/2 6.4 example,   6.4
11/4 Review, and in class quiz 5
Week 12
11/7 Exam 2 problem session Due Monday:
online WP homework 11

6:30PM - 8:00PM Tuesday November 8 in AUD MH over Chapters 3 and 4 and 6.1-6.4.

11/9 6.5, 6.6
11/11 7.1, 7.4, annotated slides AM,   PM,   2022 notes
Week 13
11/14 7.4, 7.5, annotated slides AM,   PM, 7.5 graphing, 7.5 graphing, 7.6 Due Monday:
online WP homework 12

For 7.5 graphs, you might consider using this pdf for your graphs

11/16 7.5, 7.6
11/18 7.6,  Fall 22 slides
***** Fall Break November 20 - 27 ****
Week 14
11/28 7.7,   2022 class notes for 7.7 Due Monday:
Homework 13b (html, python) due in class or OH.
and online WP homework 13

11/30 9.1, 9.2 , 9.1, 9.2 , notes and sample quiz
12/2 9.1, 9.2 , and in class quiz 6
Week 15
12/5 9.3 , annotated Due Monday:
Homework 14b (html, python) due in class or OH.
and online WP homework 14

Due Saturday:
online WP homework 15

12/7 Review
12/9 Review
Final's week
Wednesday 12/14 Final exam: 5:30PM - 7:30PM 12/14/2022 WEDNESDAY in AUD MH