Test, Analysis, and Simulation

What it is about

You will receive an introduction to statistics, experimental design, mathematical modeling and simulation with a focus on applications in aerospace. In the end you will be able to apply basic statistical methods, plan simple experiments, build models and perform simulations and assess their quality.

What you will be able to do

• Understand the fundamentals of probability theory and estimation theory
• Apply descriptive statistics and statistical tests
• Utilize parameter estimation and the maximum-likelihood method
• Carry out experimental design (DoE) and error analysis
• Identify time-series analysis and overfitting
• Create models (ODE/PDE, black-/white-box) and perform system identification
• Evaluate model quality, sensitivity and uncertainty analysis
• Apply and validate simulation methods (including Monte Carlo)
• Gain an overview of common modeling software

What the module consists of

• LectureConveying the fundamental theory and applications in aerospace
• Exercise/TutorialWorking through simple problems and applications, practice problems for deeper understanding

Teaching method

• Presentations with slides and chalkboard workto present the theory and its implementation
• Problem sheets and tutorialto practice practical application of the content through exercises
• Programming examplesto demonstrate simulations and data analysis