Math 2552D: Differential Equations

Date

Topic

Text

Video Link

Slides

18 April

Periodicity

5.6-7

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

11 April

Laplace Transform

5.3-4

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

6 April

Laplace Transform

5.1-2

4 April

Variation of Parameters

4.7

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

16 March

Undetermined Coefficients

4.5

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

9 March

Nonautonomous

4.1-2

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

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

28 Feb

Nonlinear Systems

7.1-2

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

21 Feb

Defective Matrices

3.5,6.7

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

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

6 Feb

Homogenous Linear

3.3-4

26 Jan

Solution Uniqueness

2.4, 8.2

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

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

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

10 Jan

What is DiffEq?

1.2,3

Quiz 0: At home. Enroll and introduce yourself on

Piazza .
Read Chapter 1.

Additional Interest and Help

Math Lab Tutoring