- Section(s): 1.1
- Topics: Overview of course logitics
| Week | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 1 |
March 30 | March 31
Discussion
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April 1 | April 2 | April 3 |
| 2 |
April 6 | April 7
Discussion
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April 8 | April 9
Discussion
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April 10 |
| 3 |
April 13 | April 14
Discussion
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April 15 | April 16
Discussion
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April 17 |
| 4 |
April 20 | April 21
Discussion
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April 22 | April 23
Discussion
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April 24 |
| 5 |
April 27 | April 28
Discussion
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April 29 | April 30
Discussion
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May 1 |
| 6 |
May 4
Midterm
|
May 5
Discussion
|
May 6 | May 7
Discussion
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May 8 |
| 7 |
May 11 | May 12
Discussion
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May 13 | May 14
Discussion
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May 15 |
| 8 |
May 18 | May 19
Discussion
|
May 20 | May 21
Discussion
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May 22 |
| 9 |
May 25
Memorial Day (No lecture)
|
May 26
Discussion
|
May 27 | May 28
Discussion
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May 29 |
| 10 |
June 1 | June 2
Discussion
|
June 3 | June 4
Discussion
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June 5 |
| 11 |
June 8 | June 9 | June 10 | June 11 | June 12
Final Exam
|
Content plan
Lectures
Lecture Notes
- Section(s): 1.1, 1.2
- Topics: First examples of D.E.s, verifying solutions, basic terminology
Lecture Notes Issue:
There was an issue with Notability's sync to my Google drive folder. As a result the lecture notes pdf is blank... I'll do my best to try to recover this (if it's even possible) but you can view the actual lecture notes in the video as an alternative!
Other Interesting Content
Lecture Notes
- Section(s): 1.1, 1.2
- Topics: Linear D.E.s, Implicit solutions to D.E.s, Initial value problems (IVPs), The uniqueness and existence theorem
Other interesting Content
Lecture Notes
- Section(s): 1.2, 1.3
- Topics: The uniqueness and existence theorem, Direction fields
Other interesting content
Lecture Notes
- Section(s): 2.1, 2.2
- Topics: 1st order D.E.s, Separable equations
Other interesting content
Lecture Notes
- Section(s): 4.1, 4.2
- Topics: Homogeneous 2nd order D.E.s (with constant coefficients)
Other interesting content
Abstract fundamentals
Solution algorithm examples
Lecture Notes
- Section(s): 4.2, 4.3
- Topics: Homogeneous 2nd order D.E.s (with constant coefficients): real and complex cases
Lecture Notes
- Section(s): 4.2, 4.3, 4.9, 4.4
- Topics: Homogeneous 2nd order D.E.s (review of overall method, revisiting the mass-spring model), Non-homogeneous 2nd order D.E.s (method of undetermined coefficients)
Lecture Notes
- Section(s): 4.4, 4.5
- Topics: The method of undetermined coefficients
Other useful content:
Slides from lecture
Lecture Video
Lecture Notes
- Section(s): 4.5, 4.6
- Topics: Method of undetermined coefficients, Superposition principle, Variation of parameters
Lecture Video
Lecture Notes
- Section(s): 4.6
- Topics: Variation of parameters
Lecture Video
Lecture Notes
- Section(s): 4.6, 4.7
- Topics: Variation of parameters, Variable coefficient DEs
Lecture Video
Lecture Notes
- Section(s): 4.7
- Topics: Variable coefficient DEs, Reduction of order
Lecture Video
Lecture Notes
- Section(s): 9.1, 9.3
- Topics: Systems of D.E.s, matrices and vectors
Lecture Video
Lecture Notes
- Section(s): 9.3, 9.4
- Topics: Determinants, Systems of D.E.s in "normal form"
Lecture Video
Lecture Notes
- Section(s): 9.4
- Topics: Linearly independent solutions to systems of D.E.s, the Wronskian
Lecture Video
Lecture Notes
- Section(s): 9.5
- Topics: Solutions to systems of D.E.s, characteristic equation, eigenvalues and eigenvectors of a matrix
Lecture Video
Lecture Notes
- Section(s): 9.5, 9.6
- Topics: Solutions to systems of D.E.s in real and complex cases
Lecture Video
(re-recorded)
Lecture Notes
- Section(s): 9.7
- Topics: Non-homogeneous systems of D.E.s, the method of undetermined coefficients
Other useful content:
Lecture notes from the original lecture
Lecture Video
(re-recorded)
Lecture Notes
- Section(s): 9.7
- Topics: Non-homogeneous systems of D.E.s, Variation of parameters
Other useful content:
Lecture notes from the original lecture
Lecture Video
Lecture Notes
- Section(s): 9.8
- Topics: The matrix exponential function
Lecture Video
Lecture Notes
- Section(s): 9.8
- Topics: Solving any system of D.E.s (with constant coefficients) using the matrix exponential function
Lecture Video
Lecture Notes
- Section(s): 7.2, 7.3
- Topics: The Laplace transform: definition, basic calculations and initial properties
Lecture Video
Lecture Notes
- Section(s): 7.3, 7.4
- Topics: Properties of the Laplace transform, inverse Laplace transforms (and connection to solving IVPs)
Lecture Video
Lecture Notes
- Section(s): 7.4
- Topics: Inverse Laplace transforms and partial fraction decomposition
Lecture Video
Lecture Notes
- Section(s): 7.5
- Topics: Solving IVPs using the Laplace transform