MA 30300 210 & 211, Fall 2021

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/303Au21/OL1_901_section_syllabus.pdf

Lecture Delivery

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.

List of Homework Questions (continuously updated).

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

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 (Extra credit)

Exam Information

Midterm 1 Monday, October 04, 6.30-7.30 pm in RHPH 172
Midterm 2 Tuesday, November 09, 08-09 pm in SMTH 108
Final Exam Monday, December 13, 07:00 - 09:00 pm, in MATH 175

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: Aug. 23
Course overview and 5.1
Lecture Notes
Quick review of matrices
24
 
25
5.1
Lecture Notes
26
 
27
5.2
Lecture Notes
2: Aug. 30
5.3
Lecture Notes
31
HW 5.1 due
Sep. 1
5.2-5.3 (see notes)
Lecture Notes
2
 
3
5.5-5.3
Lecture Notes
3: Sep. 6
Labor Day (No Class)
7
 HW 5.2 due
Can also do 5, 6, 11 from 5.3
8
5.5
Lecture Notes (with extra details)
9
 
10
5.5-5.3-6.1
Lecture Notes
Handout on Solving Systems with Defective Eigenvalues
4: Sep. 13
6.1-6.2
Lecture Notes
14
  HW 5.5-5.3 due
15
6.2
Lecture Notes
16
 
17
6.2-6.3
Lecture Notes (with extra details)
Ecological Models Worksheet
Solutions
5: Sep. 20
6.4
Mechanical Systems Worksheet
Solutions
21
  HW 6.1-6.2 due
22
7.1
Lecture Notes
23
 
24
7.2
Lecture Notes
6: Sep. 27
7.3
Lecture Notes
28
HW 6.3-6.4 due
 
29
7.4
Lecture Notes
30
Oct. 1
Review
Practice Problems for Midterm 1
Solutions
7: Oct. 4
Review
Notes
Midterm 1, 6.30-7.30 pm
5
HW 7.1-7.2 due
6
7.5
Lecture Notes
7
8
No Class
8: Oct. 11
October Break (No Class)
12
October Break
13
7.5
Lecture Notes
HW 7.3-7.4 due
14
15
Lecture Notes
9: Oct. 18
7.6-9.1
Lecture Notes
19
20
9.1
Lecture Notes
21
 
22
9.1-9.2
Lecture Notes
10: Oct. 25
9.2
Lecture Notes
26
HW 7.5-7.6 due
27
9.2-9.3
Lecture Notes
28
29
9.3
Lecture Notes
11: Nov. 1
9.3
Lecture Notes
2
HW 9.1-9.2 due
3
9.3
Lecture Notes
4
5
Review Worksheet Outlines of Solutions
12: Nov. 8
Review
Notes
HW 9.3 due
9

Midterm 2, 08-09 pm
10
9.4
Handout on Applications of Fourier Series
Solutions
11
12
No Class
13: Nov. 15
9.5
Lecture Notes
16
HW 9.4 due
17
9.5
Lecture Notes
18

19
9.5-9.6
Lecture Notes
14: Nov. 22
9.6
Blackboard pictures
[1],[2],[3],[4],[5]
23
24
Thanksgiving Vacation (No Class)
25
Thanksgiving Vacation (No Class)
26
Thanksgiving Vacation (No Class)
15: Nov. 29
9.6-9.7
Lecture Notes
30
HW 9.5 due
Dec. 1
9.7
Lecture Notes
2
3
Dirichlet Problem on Polar Domains Worksheet
Solutions
16: Dec. 6
10.1
Lecture Notes
7
HW 9.6-9.7 due
8
10.1
Lecture Notes
Past Exams
9
10
Reveiw 8.30 Section
Reveiw 9.30 Section
17:
(Finals)
Dec. 13
Final Exam, 07:00 - 09:00 pm
14
15
16
17