MA 30300 411 & 412, Spring 2022

Differential Equations and Partial Differential Equations for Engineering & Sciences

Contents

Quick start guide

Instructor: Nikolas Eptaminitakis

Office: MATH 716

email: neptamin@purdue.edu

Lecture Time:

Office Hours:

Short Description: This course is a continuation of MA 26200/MA 26600. It discusses linear and nonlinear systems of Ordinary Differential Equations, Laplace Transforms, Partial Differential Equations, and Sturm-Liouville Theory.

Syllabus: Please click on the link below:

https://www.math.purdue.edu/~neptamin/303Sp22/303_Sp22_Sylllabus.pdf

Lecture Delivery

Resources

Homework

There will be online and written homework due once a week, usually but not always on Tuesdays. Please see the syllabus for Homework policies, including policies on extensions.

List of Homework Questions (continuously updated).

Sections and Problem Numbers refer to the textbook, available on MyLab Math.

Section Online HW Problems Handwritten HW Problems
5.1 4, 9, 11, 17, 23, 29, 32, 37, 41
5.2 1, 3, 15, 23, 25 26
5.5 1, 7, 11, 15, 23, 25 26
5.3 5, 6, 11, 17, 21, 23, 24, 27, 39
6.1 2, 5, 9, 13, 15, 17, 23, 25
6.2 13, 15, 17, 21, 23, 26, 33, 35 34
6.3 1, 5, 13, 15, 19, 22, 27
6.4 3, 5, 7, 11, 13, 15, 17
7.1 2, 3, 4, 7, 13, 17, 23, 29
7.2 3, 7, 8, 13, 19 10, 14
7.3 1, 3, 5, 9, 15, 19, 31, 37 36
7.4 5, 8, 15, 19, 24 27
7.5 3, 5, 13, 17, 21, 33, 40 34
7.6 3, 7, 11
9.1 1, 3, 5, 13, 14, 17, 19, 21
9.2 2, 3, 7, 11, 15, 19, 21 17
9.3 4, 5, 7, 9, 11, 13, 15 2
9.4 1, 3, 9, 13
9.5 3, 5, 10, 13, 16, 18 15, 17
9.6 3, 5, 8, 9
9.7 1, 3, 5, 7, 9, 16 4
10.1 3, 5, 7, 9

Exam Information

Midterm 1 Wed 02/16, 6:30pm - 7:30pm in SMTH 108
Midterm 2 Thu 03/31, 6:30pm - 7:30pm in LILY G126
Final Exam Thu 05/05 08:00am - 10:00am in SMTH 108 in the morning

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
1: Jan. 10 Course overview and 5.1
Lecture Notes
Quick review of matrices
11
12
5.1
Lecture Notes
13
14

5.1-5.2
Lecture Notes
2: Jan. 17
MLK Day (No Class)
18
HW 5.1 due
19
5.2
Lecture Notes
20
21
5.2
Lecture Notes
3: Jan. 24
5.5
Lecture Notes
25
HW 5.2 due
26
Lecture Notes
Handout on Solving Systems with Defective Eigenvalues
27
28
5.3
Lecture Notes
4: Jan. 31
5.3
Lecture Notes
Feb. 1
HW 5.5 due
2
6.1
Lecture Notes
3
4
6.2
Lecture Notes
5: Feb. 7
6.2
Lecture Notes
Practice Problems for Midterm 1
Solutions
8
HW 5.3, 6.1 due
9
6.3
Ecological Models Worksheet
Solutions
10
HW 6.2 due
11
6.4
Mechanical Systems Worksheet
Solutions
6: Feb. 14
Midterm Review
Notes
15
HW 6.3, 6.4 due
16
7.1
Notes
Midterm 1, 6.30-7.30 pm
17
18
7.1-7.2
Notes
7: Feb. 21
7.2-7.3
Lecture Notes
22
23
7.3-7.4
Notes
24
HW 7.1, 7.2 due
25
7.4
Lecture Notes
8: Feb. 28
7.4-7.5
Lecture Notes
Mar. 1
2
7.5
Lecture Notes
3
4
7.6
Lecture Notes
9: Mar. 7
No Class
8
9
7.6-9.1
Lecture Notes
10
HW 7.5-7.6 due
11
9.1
Lecture Notes
10: Mar. 14
Spring Vacation (No Class)
15
Spring Vacation (No Class)
16
Spring Vacation (No Class)
17
Spring Vacation (No Class)
18
Spring Vacation (No Class)
11: Mar. 21
9.1-9.2
Lecture Notes
22
23
9.2
Lecture Notes
Review Worksheet
Solutions
24
HW 9.1 due
25
9.2
Lecture Notes
12: Mar. 28
9.3
Lecture Notes
29
HW 9.2 due
30
Review
Notes
31
Midterm 2, 6.30-7.30 pm
Apr. 1
No Class
13: Apr. 4
9.3
Lecture Notes
5
6
9.3
Lecture Notes
7
8
9.4
Handout on Applications of Fourier Series
Solutions
14: Apr. 11
Lecture Notes
12
13
Lecture Notes
14
Handwritten HW 9.3 due
15
9.6
Lecture Notes
15: Apr. 18
9.6
Lecture Notes
MyLab HW 9.3-9.4 due
19
20
9.7
Lecture Notes
21
HW 9.5, 9.6 due
22
9.7
Dirichlet Problem on Polar Domains Worksheet
Solutions
16: Apr. 25
10.1
Lecture Notes Past Exams
26
27
10.1
Lecture Notes
28
HW 9.7 due
29
Review 8.30
Review 9.30
17:
(Finals)
May 2
3
HW 10.1 due
4
5
Final Exam, 8-10 am
6