MATH:2560 Engineer Math IV: Differential Equations

MATH:2560 Engineering Math IV: Differential Equations

Fall 2024

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

Section 0091: 9:30A - 10:20A 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

Ways to get help:

Get help during class. Please ask questions.
Get help during office hours.
Make an appointment outside of office hours.
E-mail me questions. You can also take a picture with your phone, computer, etc to show me your work.
Math Tutorial Lab in 125 MacLean Hall
Engineering Tutoring, 6:00 PM - 9:00 PM, Sunday - Thursday in 3612 Seamans Center
Tutor Iowa
Math Platoon (for military-connected students)
Other tutoring resources

Integration Pre-requisites:

Integration by substitution
Integration by parts
Integration by partial fractions

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:

Week 1
Tentative Schedule		Announcements
8/26	1.1, 1.2 = 2.2 , notes	Partial Fractions Review Videos: Integration by parts (12:44 min), Linear algebra + partial fractions review (25:45 min), Slope fields (45:18 min)
8/28	old notes for ch 1 and 2 (pdf)
8/30	ch 1 (pptx) , 2.2 annotated slides (AM pptx - OLD), (PM pptx - OLD) ,
Week 2
9/2	Holiday	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)
9/4	slope fields, 2.2 (pptx), 2.1 notes, 2.1 Integrating Factor more examples: AM notes, PM notes, older 2.1 notes
9/6	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),
Week 3
9/9	2.2 example(pptx) , Quiz 1	Due Wednesday: online WP homework 2 Video: Theorem 2.4.2/domain (28:41 min)
9/11	2.4: Existence and Uniqueness slides, annotated slides, 2.5 Stability
9/13	2.4, 2.5, 2.5 old slides, old annotated slides 2.4&2.5AM 2.4&2.5PM
Week 4
9/16	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)
9/18	2.8 Approximating solutions (slides), annotated slides 2.5&2.8PM AM, PM 2.8, 2.7, 3.1),
9/20	2.8, 3.1 - 3.4, annotated slides AM PM, Quiz 2
Week 5
9/23	notes for 3.1, 3, 4, FYI: 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''.
9/25	9y'' + 6y' +y = 0, y(0) = 1, y'(0) = 2, Wronskian. FYI: OLD annotated slides AM PM FYI: Linearity, 3.1 - 3.4, 3.5, annotated slides AM PM
9/27	3.2
Week 6
9/30	Review	Due Monday: online WP homework 5 Midterm 1 6:30PM - 8:00PM 10/03/2024 Thu over Chapters 1 and 2 and 3.1-3.4
10/2	Review, 3.5
10/4	3.5, 3.5 worksheet, answers with explanations. 3.5 worksheet 3.5 worksheet answers 3.5, 3.6, annotated slides AM, PM 3.5 worksheet, answers, 3.5, annotated slides PM,
Week 7
10/7	3.5, 3.7 , annotated slides AM, PM	Practice problems 3.5 worksheet, answers with explanations. Due Monday: online WP homework 6
10/9	Attendance Quiz, 3.7 Rcos(wt-d), 3.8 Rcos(wt-d)
10/11	3.7, 3.8 , annotated slides AM, PM 3.7, 3.8 review, 4.1, annotated slides AM, PM
Week 8
10/14	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
10/16	4.1, 4.2, annotated slides AM, PM
10/18	4.1, 4.2, quiz 3, answers
Week 9
10/21	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
10/23	4.4
10/25	6.1 notes , ONLINE quiz 4
Week 10
10/28	6.1 - 6.3	Due Monday: online WP homework 9 Some review problems including answers
10/30	LaPlace table, 6.2
11/1	6.3, notes, 6.3 answers, 6.3
Week 11
11/4	6.3 (see also 11/8)	Due Monday: online WP homework 10
11/6	3.8 Resonance, resonance,
11/8	Review, and online quiz 5
Week 12
11/11	Exam 2 problem session	Due Monday: online WP homework 11 Midterm 2: 6:30PM - 8:00PM Thursday November 14 over Chapters 3 and 4 and 6.1-6.4.
11/13	6.4 example, 6.3, 6.6, 6.4 , 6.4
11/15	6.5, 6.6, 2023 notes
Week 13
11/18	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
11/20	7.4, 7.5, annotated slides AM, PM, 7.5 graphing, 7.5 graphing, 7.6
11/22	7.5, 7.6, 2023 notes
*** Fall Break November 25 - 29 **
Week 14
12/2	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
12/4	Class notes 2023, 2023 slides , OLD notes and sample quiz
12/6	9.1, 9.2 , 9.1, 9.2 , and online quiz 6
Week 15
12/9	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)
12/11	9.1, 9.2 , 7.7
12/13	Review, see also Darcy Lecture under ICON/Modules, Review, Review
Final's week
TBA

Not covered: 9.3 , annotated