MATH:2560 Engineering Math IV: Differential Equations

Fall 2023

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

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

Section 0093: 10:30A - 11:20A 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 0093

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
8/21 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)

8/23 old notes for ch 1 and 2 (pdf)
8/25 ch 1 (pptx) ,    2.2 annotated slides (AM pptx - OLD),   (PM pptx - OLD) ,  
Week 2
8/28 slope fields, 2.2 (pptx),    2.1 notes,     2.1 Integrating Factor more examples: AM notes,    PM notes,    older 2.1 notes Due Monday:online WP homework 1
Due Friday Homework 1b (html).

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

8/30 more 2.1 notes,    more 2.1 notes (Marked),    2.2 + HW2 hints (pptx),    2.3 notes, 2.3 example from p. 9 of old notes for ch 1 and 2 (pdf),   
9/1 2.2 example(pptx) ,     Quiz 1
Week 3
9/4 Holiday Due Wednesday:
online WP homework 2

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

9/6 2.4: Existence and Uniqueness slides,   annotated slides, 2.5 Stability
9/8 2.4, 2.5, 2.5   old slides, old annotated slides 2.4&2.5AM    2.4&2.5PM
Week 4
9/11 3.1: 2nd order linear homog,  2.7: Approx 1st order solns , Due Monday:
Homework 2b
and online WP homework 3

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

9/13 2.8 Approximating solutions (slides), annotated slides    2.5&2.8PM    AM,    PM 2.8, 2.7, 3.1),
9/15 2.8, 3.1 - 3.4, annotated slides AM    PM, Quiz 2
Week 5
9/18 3.1 - 3.2,    3.1 - 3.4 (old), 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''.

9/20 3.1 - 3.2, annotated slides AM    PM       Linearity, 3.1 - 3.4, 3.5, annotated slides AM    PM
9/22 3.2, 3.5 worksheet,   answers with explanations.
Week 6
9/25 3.2, 3.5 (new), 3.5, 3.6, annotated slides AM,   PM 3.5 worksheet,   answers,   3.5, annotated slides PM,   Review and quiz 2 Due Monday:
online WP homework 5

Exam 1 6:30PM - 8:00PM 09/28/2023 Thu W290 CB / 100 PH
over Chapters 1 and 2 and 3.1-3.5

9/27 Review,
9/29 3.5,   3.5 worksheet 3.5 worksheet answers
Week 7
10/2 3.5, 3.7 , annotated slides AM,   PM Practice problems 3.5 worksheet,   answers with explanations.

Due Monday:
online WP homework 6

10/4 Attendance Quiz,   3.7 Rcos(wt-d),   3.8 Rcos(wt-d)
10/6 3.7, 3.8 , annotated slides AM,   PM 3.7, 3.8 review, 4.1, annotated slides AM,   PM
Week 8
10/9 3.8, 4.1 , annotated slides AM,   PM Due Monday:
Homework 7b
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

10/11 4.1, 4.2, annotated slides AM,   PM
10/13 4.1, 4.2, quiz 3,  answers
Week 9
10/16 Attendance quiz 20/21,     3.7 damping,    4.3,     3.6, annotated slides AM,   PM Due Monday Oct 23:
Homework 8b
and online WP homework 8

Mechanical Vibration review

Solving higher order linear homogeneous DE (See also 4.1/4.2 slides)

Intro to Ch 6: LaPlace Transform

10/18 4.4
10/20 6.1 notes , ONLINE quiz 4
Week 10
10/23 6.1 - 6.3 Due Monday:
online WP homework 9

Some review problems including answers

10/25 LaPlace table,   6.2   
10/27 6.3, notes, 6.3 answers,   6.3
Week 11
10/31 6.3 (see also 11/8) Due Monday:
online WP homework 10
11/1 3.8 Resonance,    resonance,   
11/3 Review, and online quiz 5
Week 12
11/6 Exam 2 problem session Due Monday:
online WP homework 11

6:30PM - 8:00PM Tuesday November 7 in AUD MH over Chapters 3 and 4 and 6.1-6.4.

11/8 6.4 example,    6.3, 6.6, 6.4 ,    6.4
11/10 6.5, 6.6,   2023 notes
Week 13
11/13 6.6, 7.1, 7.4, annotated slides AM,   PM,   2022 notes Due Monday:
online WP homework 11 part 2 (over 6.4)

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

11/15 7.4, 7.5, annotated slides AM,   PM, 7.5 graphing, 7.5 graphing, 7.6
11/17 7.5, 7.6,   2023 notes
***** Fall Break November 19 - 26 ****
Week 14
11/27 7.5graphing,   Class notes 2023,   7.6,  Fall 22 slides Due Monday:
online WP homework 12 (over 6.5, 6.6, 7.1)
and
Due Wednesday:
Paper Homework 13b: 7.5: 1, 2, 4;   7.6: 1, 2
11/29Class notes 2023,   2023 slides ,  OLD notes and sample quiz
12/1 9.1, 9.2 ,    9.1, 9.2 , and online quiz 6
Week 15
12/4 9.2 (2023 version) Due Monday:
online WP homework 13 (over 7.4, 7.5, 7.6)
and
Paper homework 14b: 9.1: 1abc, 5abc, 9abc

Due Saturday:
online WP homework 14 (over 7.7, 9.1, 9.2)

12/6 9.1, 9.2 ,   7.7
12/8 Review, see also Darcy Lecture under ICON/Modules, Review, Review
Final's week
3:00PM - 5:00PM 12/15/2023 Fri AUD MH
Not covered: 9.3 , annotated