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week 6
MTH-264 Week 6 (February 9-15)
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outline
Outline
Weather Cancellation
- Our Wednesday, February 12 session was cancelled to for inclement weather.
- The content from Sections 2.4, 2.5, 2.7, and 3.1 is covered in the following
videos from a previous online MTH-264 course.
2.4 Additional Analytic Methods for Special Systems
- recommended:
3, 5,
6,
9,
10,
11,
12,
13,
17
- checking solutions in systems
- decoupled systems
- partially decoupled systems
2.5 Euler's Method for Systems
- recommended:
3,
4,
5,
6,
8
- return to plotting and correcting a course
- more excel-ent advice
- special examples
- the van der pol equation
- the swaying skyscraper
- more comments on existence and uniqueness of solutions
2.7 The SIR Model of an Epidemic
- recommended:
1, 3, 5,
6,
7, 9
- we assume that every member of a population is either S[usceptible], I[nfected],
or R[ecovered]
- members of the population move from one group to another according to varying
assumptions
- numerical analysis
- phase plane analysis
- analytic description
- this basic model can form the basis for more complicated models used in practice
3.1 Properties of Linear Systems and the Linearity Principle
- recommended:
5, 9,
10,
11,
12,
13,
14,
24,
26,
27,
28,
29
- exploiting vector and matrix notation
- equilibrium points of a linear system
- singular and nonsingular matrices, determinant
- linear independence and solutions to initial value problems
semesters >
winter 2025 >
mth264 >
week 6 >
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, February 12:
2.1 - 16 alt,
2.2 - 12 alt,
16 alt,
2.3 - 4 alt,
8 alt
- due Wednesday, February 19:
(none)
- due Wednesday, February 26:
2.4 - 13 alt,
2.5 - 5 alt,
2.7 - 10 alt,
3.1 - 25 alt
- 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 6 >
handouts
Handouts
- Announcements
- Technology Tips
- Euler's Method
- First-Order Linear Equations
- Second-Order Linear Equations
- Linear Systems
semesters >
winter 2025 >
mth264 >
week 6 >
videos
Videos
- First Order System Basics
- Linear Systems: Basics
- Linear Systems: Real, Non-zero Eigenvalues
semesters >
winter 2025 >
mth264 >
week 6 >
technology
Technology
- Communication
- Excel
- Mathematica