MATH:3600:0002 Introductn Ordinary Differential Equatns

Fall 2020 2:30P - 3:20P MWF Online

Instructor:  Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: online
Phone: 319-335- 0770
Email: isabel-darcy AT uiowa.edu

Office hours: M 4:30 - 5:30pm and M 2:00 - 2:30pm, W 3:30-3:45pm, F 3:30-4:45pm online and by appointment.

Syllabus

Ways to get help:

Links to old courses including old exams

Integration Pre-requisites:

The following free supplemental online book contains many nice examples and good explanations: Paul's Online Notes: Differential Equations

Note: Pre-recorded videos are available on both ICON (login not required) and Youtube. Videos recorded during class are only available via ICON, and due to Ferpa, you must be logged in and you must be a student registered in this section (MATH 3600 section 0002). These videos are denoted as ICON videos.

TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on date/section for pdf file of corresponding class material):

Tentative ScheduleHW/Announcements
Week 1
8/24 Pre-recorded: Integration by parts (12:44 min video),    slides pptx (pdf),   annotated slides (pdf)
In class:   1.1 Falling ball notes  		Start working on next weeks' assignments.
8/26 Pre-recorded: Linear algebra + partial fractions review (25:45 min video),    slides (pdf),   annotated slides (pdf)
In class: 1.2 = 2.2 Falling ball, notes  
8/28 Pre-recorded: Slope fields (45:18 min video)   slides (pdf),   annotated slides (pdf)
In class: ch 1 (pptx) (pdf),  
Week 2
8/31 Pre-recorded: Introduction to Proofs Part 1 (8:12 min video)   slides (pdf),   annotated slides (pdf)
In class: annotated slides(pptx) (pdf),   2.1 Integrating Factor notes  
Icon Quiz 1 over week 1 material (Due Thursday 9/3)

HW 1 (due Friday 9/4)
1.1: 1,2,10 - 16 all, 21, 23;
1.2: 1,5,7,8, 13;
1.3: 1, 2, 6, 9, 12

9/2 Pre-recorded: Introduction to Proofs Part 2 (10:18 min video)   slides (pdf),   annotated slides (pdf)
In class: 2.1 - 2.3 notes  
9/4 Pre-recorded: Review of solving first order LINEAR differential equation using an integrating factor (15:46 min video)   slides (pdf),   annotated slides (pdf)
In class: 2.3: Applications (pptx) (pdf),   annotated slides (pdf)     notes
Week 3
9/7 Holiday HW 2 (due Friday 9/11)
1-1,
2.1: 1c, 2c, 11, 12, 19
2.2: 1, 2, 11, 13, 25
2.3: 5-7, 12, (16-19)a
9/9 Pre-recorded: Bernoulli's equation (17:33 min video)
In class: 2.4: Existence and Uniqueness slides (pdf),   annotated slides (pdf)
9/11 2.4: Existence and Uniqueness annotated slides (pdf)
Week 4
9/14 2.8 Approximating solutions (notes) HW 3 (due Friday 9/18)
2.4: 1, 4, 5, 6, 11, 12, 17 - 21, 23 - 25, read 26
p. 101: 28, 32, 35, 36, 37
Icon Quiz 2 (Due Thursday 9/17 )
9/16 2.8 Approximating solutions slides (pdf) annotated slides (pdf)
9/18 Pre-recorded: Review slope field video from week 1: Slope fields (45:18 min video)
In class: 2.5 Stability slides (pdf) annotated slides (pdf)
Week 5
9/21 Review + notes from office hours (pdf) HW 4 (due Thursday 9/24)
A.) By giving a specific counter-example, prove that the following functions are not linear functions: i) f(x) = \sqrt{x}.    ii) g(x) = 1/x
B.) Prove that the following function is a linear function: h(x) = 4x
2.5: 2, 4, 7, 9 (also draw the direction field for 7 and 9), 15, 19, 21
2.8: 1, 2, [3, 4 a & c -- Prove convergence]

Upload earlier for comments before exam.

9/23 Exam 1: Ch 1 and 2
9/25 3.1, 3, 4
Week 6
9/28 2.8: induction HW 5 (due Friday 10/2)
2.8: 3 a Use induction to prove your formula for phi_n.
3.1: 2, 4, 6, 10, 12, 13, 21
3.3: 1, 6
3.4: 3
9/30 3.1 - 3.4 (pdf) annotated (pdf)
10/2 3.1 - 3.4 (pdf) annotated (pdf)
Week 7
10/5 3.4, 3.2 (pdf) annotated (pdf) HW 6 (due Friday 10/9)
2.8: 4 a -- Use induction to prove your formula for phi_n.
3.2: 1, 2, 3, 7, 8, 10 - 13, 16, 20
3.3: 9, 12, 13
3.4: 10, 11
10/7 linear fns, 3.2, 3.5 (annotated)
10/9 3.5 (annotated)
Week 8
10/12 3.5 (annotated), 3.5 (annotated) HW 7 (due Friday 10/16)
4.1: 13, 14
4.2: 20
3.5: 1, 4, 8, 9, 11, 16a, 17a, 18a, 19a
10/14 ch3and4 (annotated), ch 4 (pdf), annotated (pdf)
10/16 Linearity (annotated), ch 4 (pdf), annotated (pdf)
Week 9
10/19 Abel, 7.3, 7.1 (pdf), annotated (pdf) HW 8 (due Sunday 10/25)
4.1: 1, 4, 5, 7, 16
4.2: 4, 13, 16
4.3: 2, 7, 10 - 13
7.3: 13, 14, 15
7.1 (use matrix form): 3, 4, 5, 6, 12

Quiz 3 (due Sunday 10/25) [3 points, unlimited attempts]

10/21 ch 3, 4, 7 defns, 7.1, 7.4 (pdf), annotated (pdf)
10/23 Review (pdf), annotated (pdf)
Week 10
10/26 Problem session HW 9 (due Friday 10/30)
7.2: 17, 19
7.5: 1b, 2b, 5b

10/28 Exam 2
10/30 ch 7 annotated
Week 11
11/2 7.5 graphing, annotated HW 10 (due Friday 11/7)
7.2: 4
7.4: 1, 7, 11
7.5: 1, 2, 5, 17, 18, 19
7.6: 8
For 7.5 graphs, you might consider using this pdf for your graphs
11/4 7.5 graphing, annotated
11/6 7.5 graphing, 7.6 , annotated
Week 12
11/9 7.6, 9.1 , annotated HW 11 (due Friday 11/14)
7.5: 13, 21
7.6: 4
9.1: 17, 18
11/11 9.1, 7.7 , annotated
11/13 7.7, 7.8 , annotated
Week 13
11/16 7.7, 9.2 , annotated Double HW 12 (due Monday 11/30 at 4:30pm)
7.7: 4, 8, 10, 12, 13
7.8: 6, 8
9.1: 15, 17, 18
9.2: 4, 14, 23
9.3: 4, 7, 9
5.1: 3, 6, 10, 11, 20, 23
11/18 9.2, 9.3 , annotated
11/20 9.3, 5.1 , annotated
*****Thanksgiving Break (Nov 22-29)****
Week 14
11/30 Review , annotated Note HW 12 is worth double and due Monday 11/30 at 4:30pm.

12/2 Review , annotated
12/4 Exam 3 over ch 7, 9, and 5.1
Week 15
12/7 5.2, annotated Recommended, but not HW.
5.2: 3, 7
Note this is LONG HW problem. You must provide complete answers including induction proofs.
a.) Find the recurrence relation for the power series solution about the given point x_0
b.) Find the first four terms in each of two solutions y_0, y_1 (unless series terminates sooner).
c.) Find the general term, a_n, and prove it.
For more on series solutions see Paul's Online Math Notes (for printing select pdf chapter notes)

Also see ICON announcement for more review problems.

12/9 ch5, annotated
12/11 Review , annotated
Final's week
12/17 Thu Final Exam 3:00PM - 5:00PM 12/17/2020 Thursday

See ICON announcement for review problems.