Course
Applied Mathematical Modelling and Analysis (PET933)
The course introduces methods for deriving and analyzing mathematical models of systems and processes within science and engineering, focusing on how such models can be used to motivate, design and interpret experiments. Fundamental conservation principles will be used to derive mathematical models followed by dimensional analyses and scaling for solving the model analytically by perturbation methods or numerically. The course concludes with certain topics from statistics, including linear and nonlinear regression methods.
Throughout the course, example problems from classical mechanics and/or fluid mechanics will be used to illustrate the application of both analytical and numerical methods. Examples may include mechanical vibrations of slender structures, advection and diffusion processes, or general viscous flows in two-dimensional geometries.
Course description for study year 2021-2022. Please note that changes may occur.
Semesters
Facts
Course code
PET933
Credits (ECTS)
10
Semester tution start
Autumn
Language of instruction
English
Number of semesters
1
Exam semester
Autumn
Content
The course introduces methods for deriving and analyzing mathematical models of systems and processes within science and engineering, focusing on how such models can be used to motivate, design and interpret experiments. Fundamental conservation principles will be used to derive mathematical models followed by dimensional analyses and scaling for solving the model analytically by perturbation methods or numerically. The course concludes with certain topics from statistics, including linear and nonlinear regression methods.
Throughout the course, example problems from classical mechanics and/or fluid mechanics will be used to illustrate the application of both analytical and numerical methods. Examples may include mechanical vibrations of slender structures, advection and diffusion processes, or general viscous flows in two-dimensional geometries.
Learning outcome
- Apply conservation principles to derive mathematical models of a wide range of physical systems and processes,
- Use dimensional analysis and scaling to analyze and simplify models,
- Solve mathematical models using regular and singular perturbation techniques, as well as numerical methods,
- Actively use mathematical models to design experiments and analyze measurements.
Required prerequisite knowledge
Recommended prerequisites
Exam
| Form of assessment | Weight | Duration | Marks | Aid | Exam system | Withdrawal deadline | Exam date |
|---|---|---|---|---|---|---|---|
| Oral exam | 2/5 | Passed / Not Passed | — | — | — | ||
| Project assignment | 3/5 | Passed / Not Passed | None permitted | — | — | — |