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
David J. Wollkind, Bonni J. Dichone (2018.), Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences, Springer
David F. Parker (2012.), Fields, Flows and Waves, Springer Science & Business Media
Glenn Fulford, Glenn R. 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
C. C. Lin, L. A. Segel (1988.), Mathematics Applied to Deterministic Problems in the Natural Sciences, 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