Course overview
This course aims to enable learners to design detailed deterministic mathematical models of physical systems using conservation laws, the calculus of variations, and the theory of multiple-scale systems. Once developed, learners will apply advanced analytical and numerical techniques to the models and interpret the results.
Course learning outcomes
- Apply analytical solution techniques to advanced models, including similarity and leading-order solutions
- Implement numerical solutions for DE models, including the heat and traffic flow PDE models and stiff systems
- Interpret analytical and/or numerical solutions to advanced mathematical models
- Construct mathematical models from first principles, including using conservation laws and the calculus of variations, and reduced models using multiple-scale methods
Degree list
The following degrees include this course