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week 5
MTH-264 Week 5 (February 2-8)
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winter 2025 >
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outline
Outline
2.1 Modeling via Systems
- recommended:
1,
2,
7,
8,
15,
16,
17,
19,
20,
21, 23
- phase planes and phase portraits
- converting second-order equations to first-order systems
- important examples
- predator-prey systems
- simple harmonic oscillators
2.2 The Geometry of Systems
- recommended:
5, 7,
10,
11, 12,
13,
15,
16,
17,
18,
21, 27
- vector fields and direction fields
- analogies between first-order equations and first-order systems
- equilibrium solutions
- xy-, tx-, and ty-graphs
2.3 The Damped Harmonic Oscillator
- recommended:
2,
3,
4,
6,
8,
9,
10
- damped harmonic oscillators
- from second-order equation to first-order system
- "guessing" solutions
- solutions in the phase (yv-) plane
- ty- and tv-graphs
semesters >
winter 2025 >
mth264 >
week 5 >
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
- Exams
- Wednesday, February 19: Exam 1
- Exam 1
(preview)
(solutions)
- Exam 1 covers sections 1.1-1.9, 2.1-2.3
- A preview will be released by 10:59pm on Wednesday, February 12
and Exam 1 will be written in class from 7:00pm-9:00pm on
Wednesday, February 19.
semesters >
winter 2025 >
mth264 >
week 5 >
handouts
Handouts
- Announcements
- Technology Tips
- Euler's Method
- First-Order Linear Equations
- Euler's Method
semesters >
winter 2025 >
mth264 >
week 5 >
videos
Videos
- Mixing Problems
- Method of Undetermined Coefficients
- Method of the Integrating Factor
- First Order System Basics
semesters >
winter 2025 >
mth264 >
week 5 >
technology
Technology
- Communication
- Excel
- Mathematica