Description
Prerequisites (Reviewed in the materials):
• Converting a 2 x 2 linear homogenous system to matrix form
• Finding eigenvalues and eigenvectors
• Creating general solutions using eigenvalues and eigenvectors (real and complex)
Module Components:
- Video Series covering geometric properties of linear systems. This can be assigned to students in asynchronous or synchronous classes.
- Video 1: General review of how to convert 2 x 2 linear systems to matrix form and find eigenvalues
- Video 2: Geometric properties of systems with 2 distinct real eigenvalues
- Video 3: Geometric properties of systems with complex eigenvalues
- Video 4: Special cases (repeated and zero eigenvalues)
- Video 5: Trace Determinant Plane
- Slide Deck containing all slides in video series – can be used for synchronous presentation in remote format, or as a basis to create your own videos for students.
- Modeling Activity Student Handout
- https://qubeshub.org/publications/3206/serve/1/15901?el=1&download=1
- Modeling Activity Teacher Version with Solutions
https://qubeshub.org/publications/3206/serve/1/15903?el=1&download=1
- Modeling Activity Video Series
- Video 1: Introduction to the scenario, guidance through creating a diagram and the system of differential equations.
- Video 2: Overview of the rest of the project and instructions on how to use free online graphing software.
https://homepages.bluffton.edu/~nesterd/apps/slopefields.html
https://www.desmos.com/calculator
Modeling Activity Assessment Guide
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