Math 2552D: Differential Equations

Summer 2017 at Georgia Institute of Technology
Syllabus

 
Instructor:
Shane Scott
 
Email:
 
Office:
Skiles 252
 
Hours:
See Piazza

Resources

The Course


 

Date

Topic

Text

Video Link

Slides

 

 
Final Exam Tuesday 2 May 2:50-5:40. Practice. Review guide. Solutions.

 
25 April
Convolution
5.8
Khan
Day 25
 

 
18 April
Periodicity
5.6-7
Periodic
Day 24
 

 
Quiz 11: 19 April over § 5.1 #15 § 5.2 #1,4,6,11,12,19 § 5.3 #9,17,20 § 5.4 # 1, 7, 12

 
13 April
Step Function
5.5
Khan
Day 24
 

 
11 April
Laplace Transform
5.3-4
Khan
Day 23
 

 
Quiz 10: 12 April over § 4.6 # 6, 11, 16a,b,d , § 4.7 # 3, 17, 22

 
6 April
Laplace Transform
5.1-2
Khan
Day 22
 

 
4 April
Variation of Parameters
4.7
VarParam
Day 21
 

 
Quiz 9: 5 April over § 4.5 # 1, 4, 7, 10, 11

 
28 March
Response
4.6
Forced Vibrations
Day 20
 

 
16 March
Undetermined Coefficients
4.5
UnCoeff
Day 19
 

 
Exam 2: 30 March. Autonomous linear and nonlinear systems of differential equations. Chapters 3,6,7, 4.1-3. Practice Exam. Solutions.

 
14 March
Forced Springs
4.4-5
Forced Spring
Day 18
 

 
9 March
Nonautonomous
4.1-2
Spring-Mass
Day 17
 

 
Quiz 8: 15 March over § 7.5 #4,5,6 § 4.1 #13,14,18 Give the equation of motion § 4.2 #3,5,11

 
7 March
Nonlinear phenomena
7.5-6
Lorenz Attractor
Day 16
 

 
Quiz 7: 8 March over § 7.1 #4,5 § 7.2 #9,25 § 7.3 #3, § 7.4 # 5

 
2 March
Species Models
7.3-4
Competing Species
Day 15
 

 
28 Feb
Nonlinear Systems
7.1-2
Nonlinear Phase
Day 14
 

 
Quiz 6: 1 March over § 3.5 # 7,15 § 6.5 # 2,14,15 § 3.4 # 1,2 § 6.7 #3,7 Once you are comfortable with the eigenvalue and eigenvector algroithms, use programs like MatLab, Wolfram Alpha/Mathematica, or personal favorite Sage to compute eigenstructure or Jordan form.

 
23 Feb
Matrix Exponential
6.5
MatExp
Day 13
 

 
21 Feb
Defective Matrices
3.5,6.7
Defec
Day 12
 

 
Quiz 5: 22 Feb over § 3.3 # 16, 25, 34 § 6.3 # 2,6 § 3.4 # 1,2 § 6.4 #5,6 Find the general solution and draw phase portraits if the system is 2 by 2.

 
16 Feb
Complex Eigenvalues
3.4,6.4
C Eigen
Day 11
 

 
14 Feb
Linear
3.3, 6.3
Systems
Day 10
 

 
Quiz 4: Feb 15 over § 3.3. #1-3 Just find the general solution.

 
6 Feb
Homogenous Linear
3.3-4
Systems
Day 9
 

 
2 Feb
Systems
3.1-2
Systems
Day 8
 

 
Exam 1: Feb 9. Over chapters 1, 2.1-6, 8.1-2 Practice Exam. Exam solutions.

 
31 Jan
Numerics
8.2, 8.3
Improved Euler
Day 7
 

 
26 Jan
Solution Uniqueness
2.4, 8.2
Exist/Unique
Day 6
 

 
Quiz 3: Feb 1 over § 2.6 #1-5 § 8.1 #3,4,15 § 2.4 # 8,15

 
24 Jan
Euler's Method
8.1
Euler
Day 5
 

 
19 Jan
Exact
2.3,6
Exact
Day 4
 

 
Quiz 2: Jan 25 over § 2.1 #1,5,6 § 2.2 #2,6,19 § 2.3 #4, 10

 
17 Jan
Modeling Linear
2.2,3
Linear
Day 3
 

 
Quiz 1: Jan 18 over § 1.2 # 5,8,13,15,24 § 1.3 # 1-3, 25

 
12 Jan
1st Order Linear
1.2, 2.1
Separable
Day 2
 

 
10 Jan
What is DiffEq?
1.2,3
DiffEqs
Day 1
 

 
Quiz 0: At home. Enroll and introduce yourself on Piazza. Read Chapter 1.

 
9 Jan
Recitation
Linear Alg Review Sheet
Questions
 

Additional Interest and Help

Math Lab Tutoring
Numberphile: My favorite math videos
The Infinite Monkey Cage: An episode on numbers from a great science podcast.
Sage: Python based math programming. Try Sage Cloud