### Thread: Math 2241, Spring 2017

Topics covered in the course Math 2241, *Mathematical Modeling of Biological Systems* at the University of Minnesota.

- Class-structured models
- Introduction to one-dimensional discrete dynamical systems
- Problem set: Exploring a discrete dynamical system with R
- Reflection: How I earned an A in this course

- Introduction to multi-dimensional discrete dynamical systems
- Linear systems, eigenvectors, and eigenvalues
- Problem set: Solving 2x2 linear systems
- Online quiz: Quiz 1
- The determinant of a matrix
- Problem set: The determinant of a 2x2 matrix and the number of solutions
- Problem set: Graphical interpretation of matrix-vector multiplication
- Problem set: Finding eigenvalues and eigenvectors of 2x2 matrices
- Reflection: What did I learn this week?

- Analysis of multi-dimensional discrete dynamical systems
- Sea turtle project
- Gut microbiota project
- Problems

- Introduction to one-dimensional discrete dynamical systems
- Two-dimensional continuous dynamical systems
- Species competition
- Two-dimensional linear differential equations
- Partial derivatives
- Phase plane analysis of nonlinear systems
- Infectious disease
- Short-term memory
- A spiking neuron model
- Problems

- Probabilistic modeling
- Spatial modeling
- Modeling philosophy
- Problem set: Theory and models
- Problem set: Modeling principles
- Project: Communicating models project, part 1
- Project: Communicating models project, part 2
- Project: Synthesis project
- Reflection: What did I learn this week? 5
- Review questions: Review problems for final exam
- In-class exam: Final Exam
- Reflection: What did I learn this week? 6

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