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winter 2024 >
mth264 >
week 11
MTH-264 Week 11 (March 17-23)
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winter 2024 >
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week 11 >
outline
Outline
3.6 Second-Order Linear Equations
- recommended:
3, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 223, 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 2024 >
mth264 >
week 11 >
assessments
Assessments
- Deadlines and File Submission
- All assessments are due by 11:59pm on the date indicated
- Assessments are submitted online to our
MTH-264 Assignments
folder.
- No late assessments are accepted.
- Homework
- due Thursday, March 21:
5.1 -
5.2 -
- due Thursday, March 28:
(none)
- due Thursday, April 4:
3.6 - ,
4.1 - ,
4.2 - ,
4.3 - ,
4.4 -
- Exams
- due Thursday, March 28: Exam 2
- Exam 2
(solutions)
- Exam 2 covers sections 3.1-3.5, 3.7, 5.1-5.2
- Exam 2 will be released by 11:59pm on Thursday, March 21 and is
due by 11:59pm on Thursday, March 28.
semesters >
winter 2024 >
mth264 >
week 11 >
handouts
Handouts
- Announcements
- Technology Tips
- Second-Order Linear Equations
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mth264 >
week 11 >
videos
Videos
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technology
Technology
- Communication
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