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This book is from the 2024-25 academic year. The version currently used in education is at mude.citg.tudelft.nl/book

CEGM1000 Modelling, Uncertainty, and Data for Engineers

Q1 Topics

1. Modelling concepts
2. Propagation of Uncertainty
3. Observation theory
4. Numerical Modelling
5. Univariate Continuous Distributions
6. Multivariate Distributions

Q2 Topics

1. PDEs and the Finite Volume Method
2. Finite Element Method
3. Signal Processing
4. Time Series Analysis
5. Optimization
6. Machine Learning
7. Extreme Value Analysis
8. Risk Analysis

Programming

Week 1.1: Getting Started!
Week 1.2: Python Topics
Week 1.3: VS Code Live Share!
- Visual Studio Live Share
Week 1.4: Version control with Git!
Week 1.5: Collaboration with Git!
Week 1.6: Errors
Week 1.7: OOP
- Classes and Object-Oriented Programming in Python
Week 1.8: SymPy
- SymPy
Week 2.4: Gurobi installation

Fundamental Concepts

1. Vectors and matrices
2. Vector spaces
3. System of linear equations
4. Multivariate differentiation
5. Taylor series
6. Probability axioms
7. Random variables
8. Expectation (mean) and variance
9. Probability Tables
- 9.1. Normal
- 9.2. Chi-Squared
10. Probability in Python
11. Additional topics

Miscellaneous

References
Credits and License

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By MUDE Teachers and the Student Army from Delft University of Technology, built with TeachBooks and Jupyter Book, CC BY 4.0

Last updated on July 31, 2025.