Abstract

Citation

Researchers should cite this work as follows:

• Gustafson, G. B. (2023). 2017-GR_Gustafson-Differential Equations Course Materials. SIMIODE, QUBES Educational Resources. doi:10.25334/RY4A-DJ03

  BibTex | EndNote

Article Context

Description

This material is from a wealth of other material authored by Grant B. Gustafson in the Mathematics Department at the University of Utah. 

See http://www.math.utah.edu/~gustafso/   Accessed 29 March 2023.

Up to date information on his productivity! One could spend hours looking through here for examples, models, and exercises.

Here is the index of this material:

11.1: Examples of Systems

11.2: Basic First-order System Methods

11.3: Structure of Linear Systems

11.4: Matrix Exponential

11.5: The Eigenanalysis Method for x′ = Ax

11.6: Jordan Form and Eigenanalysis

11.7: Nonhomogeneous Linear Systems

11.8: Second-order Systems

11.9: Numerical Methods for Systems

There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices, electric networks, logging, earthquake, building. There is also good development of main concepts such as eigenvalues, exponential matrix, variation of parameters, numerical methods, etc.

Keywords: compartment,  cascade, brine, tank, heating, chemostat, microbes, heartbeats, lidocaine, nutrient flow, aquarium, biomass, transfer, pesticides, forecasting, electric networks, circuits, logging, earthquake, building