MA 266 901 & OL1, Spring 2021

Ordinary Differential Equations

Contents

Quick start guide

Instructor: Nikolas Eptaminitakis

email: neptamin@purdue.edu

Lecture Time: M-W-F 8:30-9:20 am on Zoom. See Announcements in Brightspace for the Meeting ID.

Office Hours: Monday 1-2 pm, Tuesday 8.30-9.30 am and 4-5 pm, Friday 2-3 pm, on Zoom. See Announcements in Brightspace for the Meeting ID.

Short Description: The course focuses on solution techniques for a variety of Ordinary Differential Equations which appear in practice and discusses applications.

Ground rules for MA 266 (common across sections):

https://www.math.purdue.edu/academic/files/courses/

Syllabus for Sections 901 and OL1:

https://www.math.purdue.edu/~neptamin/266Sp21/OL1_901_section_syllabus.pdf

All times mentioned are in Eastern Time. If you are not in the United States during the semester please be aware that not all countries change to Daylight Saving Time on the same date.

Announcements

Lectures and Office Hours

The lectures will be delivered real time online through Zoom at the regular time Section 901 meets (MWF 8.30-9.20). Even if you are enrolled in the asynchronous section, you should feel free to join the real time lecture if you wish. At any time you can stop me and ask a question. The lectures will also be recorded and uploaded to Brightspace. To the best of my knowledge, Zoom does not offer an option to not record all participants’ voices, so if you ask a question your voice will be recorded.

Similarly, office hours will be on Zoom. Those will not be recorded.

Having your camera on during class is not required, but you should feel free to have it on if you like. Students will be muted upon entry to avoid noises, but you can unmute yourself and ask a question at any time.

Bringing pets to class and office hours is encouraged.

Lecture Recordings and other Resources

Homework

There will be online and written homework due once a week, usually but not always on Tuesdays. You can collaborate with classmates on homework, but everyone must submit their own solutions, in their own words. The list of assignments can be found below:

https://www.math.purdue.edu/academic/files/courses/2021spring/MA26600/MA266-S21-assignment.pdf

Computer Projects

There are 3 Computer Projects. Those will be collected through Gradescope. For the extensions policy see the one for the Written Homework in the syllabus.

The projects:

  1. Computer Project 1: Nonlinear Springs

  2. Computer Project 2: RLC Circuits

  3. Computer Project 3: Predator-Prey Equations

Submission instructions and helpful resources for each project specific to our section can be found by clicking on the pdf files above.

Exam Information

[The information below was last updated on of 04/25/2021 to reflect an update in the course-wide ground rules]

Quiz 1 Thursday, 02/11
Quiz 2 Thursday, 02/25
Quiz 3 Thursday, 03/11
Quiz 4 Thursday, 03/25
Quiz 5 Thursday, 04/08
Quiz 6 Thursday, 04/22
Final Exam 901: In Person, Tuesday, May 4, 7pm-9pm, in WALC 1055

OL1: Online, from 7:00pm of May 4 (Tuesday) to 7:00 pm May 5 (Wednesday)

Calendar

The calendar will be updated frequently! The entries in gray refer to sections from the textbook and are tentative. All deadlines mentioned below are at 11.59 pm Eastern Time.

Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday
1 Jan. 18
MLK day - No Class
19
20
Intro, 1.1
Lesson 1 Notes
21
22
1.1, 1.2 
Lesson 2 Notes
2 25
1.2
Lesson 3 Notes
26
27
1.3 
Lesson 4 Notes
28
29
1.3-1.4 
Lesson 5 Notes
3 Feb. 01
1.4
Lesson 6 Notes 
02
HW 01, 02, 03 Due
03
1.4,1.5
Lesson 7 Notes
04
05
1.5 
Lesson 8 Notes; added a solution and a hint for homework.
4 08
1.6
Lesson 9 Notes; added some problem solutions.
Quiz 0 (Ungraded)
Solutions 
09
HW 04, 05, 06 Due
10
1.6
Lesson 10 Notes; added example on homogeneous equations.
11
Quiz 1
12
1.6, 2.1
Lesson 11 Notes; added an example solution. 
5 15
2.1,2.2
Lesson 12 Notes 
16
HW 07, 08 Due
17
Reading Day - No Class
18
HW 09 Due
19
2.3
Lesson 13 Notes; added solutions of the examples.
6 22
2.4-2.5
Lesson 14 Notes

Quiz 1.5 (Ungraded)
Solutions
23
HW 10, 11 Due
24
Handout: Review and Problems without solutions

Review and Problems with Solutions
25
Quiz 2
26
3.1
Lesson 15 Notes
7 Mar. 01
3.1
Lesson 16 Notes
02
HW 12 Due
03
3.1-3.2
Lesson 17 Notes
04
05
3.2-3.3
Lesson 18 Notes - added solutions to examples
8 08
3.3
Lesson 19 Notes
09
HW 13, 14 Due
10
3.3-3.4
Lesson 20 Notes
11
Quiz 3
12
3.4-3.5
Lesson 21 Notes
9 15
3.5
Lesson 22 Notes
16
HW 15, 16, 17 Due
17
3.5
Lesson 23 Notes; added solutions to examples
18
Reading Day
19
3.6
Lesson 24

The matlab script used in class
Computer Project 1 Due
10 22
3.6, 4.1
Lesson 25 Notes, added details to some examples.
23
HW 18, 19 Due
24
4.1-4.2
Lesson 26 Notes

On the method of Elimination

Handout: Chapter 3 Recipe Book
25
Quiz 4
26
5.1
Lesson 27 Notes

Basics on Matrices
HW 20, 21 Due
11 29
5.2
Lesson 28 Notes
30
HW 22, 23 Due
31
5.2
Lesson 29 Notes
Apr. 01 02
5.5
Lesson 30 Notes
Computer Project 2 Due
12 05
5.3
Lesson 31 Notes

Phase portraits
06
HW 24, 25, 26 Due
07
5.3
Lesson 31 and 32 notes (combined)
08
Quiz 5
09
5.6
Lesson 33 Notes

HW 27 Due
13 12
5.6
Lesson 34 Notes
13
Reading Day
14
No Class - (Held as Office Hours in the OH Zoom link)

Review Problems for Ch. 3-5
Solutions

HW 28 Due
15
16
5.7
Lesson 35 Notes

Computer Project 3 Due
14 19
7.1
Lesson 36 Notes
20
HW 29 Due
21
7.2-7.3
Lesson 37 Notes

Handout: Laplace Transform Computation Techniques
22
Quiz 6
23
7.3-7.4 Lesson 38 Notes

HW 30, 31 Due
15 26
7.4-7.5
Lesson 39 Notes
27
HW 32, 33 Due
28
7.6
Lesson 40 Notes
29
30
Review 
Review Notes
May 01 02
HW 34, 35, 36 Due
Finals
week
03 04
901: Final exam 7:00-9:00 pm

OL1: Final exam becomes available at 7 pm
05
OL1: Submission deadline for the Final exam, at 7 pm
06 07