PristupačnostMathematical Modelling in Engineering
Data is displayed for academic year: 2023./2024.
Course Description
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Study Programmes
University undergraduate
[FER3-EN] Computing - study
Elective Courses
(5. semester)
[FER3-EN] Electrical Engineering and Information Technology - study
Elective Courses
(5. semester)
Learning Outcomes
- Define the mathematical model.
- Identify the influences in the process.
- Describe a process in the language of mathematics.
- Solve the mathematical model.
- Analyze used methods.
- Preispitati model.
Forms of Teaching
Lectures
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Independent assignments-
Other-
Grading Method
| Continuous Assessment | Exam | |||||
|---|---|---|---|---|---|---|
| Type | Threshold | Percent of Grade | Threshold | Percent of Grade | ||
| Homeworks | 0 % | 30 % | 0 % | 0 % | ||
| Class participation | 0 % | 10 % | 0 % | 0 % | ||
| Seminar/Project | 0 % | 30 % | 0 % | 30 % | ||
| Mid Term Exam: Written | 0 % | 35 % | 0 % | |||
| Final Exam: Written | 0 % | 35 % | ||||
| Final Exam: Oral | 10 % | |||||
| Exam: Written | 0 % | 70 % | ||||
| Exam: Oral | 30 % | |||||
Comment:
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Week by Week Schedule
- Introduction to mathematical modelling. Dimensional analysis.
- Perturbation theory. Method of dominant balance.
- Systems of ordinary differential equations, state space, equilibrium points and linearisation.
- Regular and singular perturbations.
- State space.
- Herd immunity. Advanced epidemic models.
- Predator-Prey and Lotka-Volterra model.
- Midterm
- Continuum modelling. Conservation Law. Heat.
- Separation of variables. Fundamental solution and superposition.
- Finite difference method.
- Industrial models: steel casting.
- Industrial models: water filtration.
- Industrial models: laser drill.
- Final Exam
Literature
Thomas Witelski, Mark Bowen (2015.), Methods of Mathematical Modelling: Continuous Systems and Differential Equations, Springer
David J. Wollkind, Bonni J. Dichone (2018.), Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences: Theoretical Predictions Compared with Data, Springer
Glenn Fulford, Philip Broadbridge (2002.), Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter, Cambridge University Press
Avner Friedman, Walter Littman (1994.), Industrial Mathematics: A Course in Solving Real-World Problems, SIAM
For students
General
ID 227566
Winter semester
5 ECTS
L0 English Level
L1 e-Learning
45 Lectures
0 Seminar
0 Exercises
0 Laboratory exercises
0 Project laboratory
0 Physical education excercises
Grading System
85 Excellent
75 Very Good
60 Good
50 Sufficient