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week 11
MTH-264 Week 11 (March 16-22)
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outline
Outline
3.6 Second-Order Linear Equations
- recommended:
3, 7,
10,
11,
12,
13,
14,
15, 16, 17,
18,
20,
21, 23,
24,
25,
28
- the characteristic equation and base solutions
- general solutions and initial conditions
- harmonic oscillation
- undamped (simple)
- underdamped
- critically damped
- overdamped
4.1 Forced Harmonic Oscillators
- recommended:
7, 11,
12,
17,
18,
19, 23, 25,
26,
32,
34,
35,
38,
39,
40,
42
- the extended linearity principle
- the method of undetermined coefficients
- forced (steady-state) and free (natural, transient) responses
- the progression of forcing functions
- constants
- polynomials
- exponentials
- sinusoidal
- piecewise and discontinuous functions
- interference in the forcing function
4.2 Sinusoidal Forcing
- recommended:
3, 7,
8,
11,
12,
14,
17,
18,
19,
20,
21, 23
- exploiting exponentials with complexification
- phase shift
- qualitative analysis of the phase plane
- near the origin
- removed from the origin
semesters >
winter 2025 >
mth264 >
week 11 >
assessments
Assessments
- Deadlines and File Submission
- Submit your assessment as a single PDF file to the Assessment Folder
inside your assigned Google Drive folder by 11:59pm on the date indicated.
- No late assessments are accepted. If you have a conflict with a deadline,
contact me before the deadline.
- Solutions are posted under these links after the deadline.
- Homework
- due Wednesday, March 19:
3.7 - 7 alt,
9 alt,
5.1 - 26 alt,
5.2 - 13 alt
- due Wednesday, March 26:
(none)
- due Wednesday, April 2:
3.6 - 20 alt,
4.1 - 38 alt,
4.2 - 14 alt,
19 alt,
4.3 - 18 alt,
4.4 - 4 alt
- Exams
- due Wednesday, March 26: Exam 2
- Exam 2
(preview)
(solutions)
- Exam 2 covers sections 2.4, 2.5, 2.7, 3.1-3.5, 3.7, 5.1, 5.2
- A preview will be released by 10:59pm on Wednesday, March 19
and Exam 2 will be written in class on Wednesday, March 26.
semesters >
winter 2025 >
mth264 >
week 11 >
handouts
Handouts
- Announcements
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- Second-Order Linear Equations
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week 11 >
videos
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technology
Technology
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