SylabUZ
| Course name | Modeling phenomena in nature |
| Course ID | 13.2-WF-FizD-MPN-S19 |
| Faculty | Faculty of Physics and Astronomy |
| Field of study | Physics |
| Education profile | academic |
| Level of studies | First-cycle studies leading to Bachelor's degree |
| Beginning semester | winter term 2020/2021 |
| Semester | 4 |
| ECTS credits to win | 5 |
| Available in specialities | Computer Physics |
| Course type | obligatory |
| Teaching language | english |
| Author of syllabus |
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| The class form | Hours per semester (full-time) | Hours per week (full-time) | Hours per semester (part-time) | Hours per week (part-time) | Form of assignment |
| Lecture | 30 | 2 | - | - | Exam |
| Laboratory | 30 | 2 | - | - | Credit with grade |
The aim of the course is to familiarise students with the principles of building of mathematical description of physical phenomena and processes in nature as well as with analytical and numerical studies of obtained mathematical methods
Foundations of physics I-IV, mathematical analysis and linear algebra.
. General ideas of dimensional theory: dimensional and dimensionless quantities, fundamental and derived units of measurement, dimensional formulas, functional relations between physical quantities
Examples of dimensional theory applications in mechanics and fluid physics
Physical laws and constitutive relations: fundamental laws, constitutive relations, equations, of transport of physical quantities and balance equations: mass, heat, momentum, energy, examples of applications
Basic concepts of continuous modeling using differential equations: state, state space, evolution equations
Basic methods of analysis of continuous models expressed with the help of differential equations: linearization, expansions in basis functions, WKB approximation
Stability and robustness of the model (resistance of solutions to parameters perturbations)
Examples of modeling the dynamics of a rigid body and a system of rigid bodies
Examples of different compartment models of epidemic spreading SIR, SIR, SI, SIS, SIRS, SEI, SEIR, versions without demographics and with demographics
Variational modeling: examples of variation principles, variation approximations, elements of variation calculus, problems with constraints, variation limitations, variation accuracy
Examples of advanced models: polymer dynamics and vibrating strings, surface waves on water.
Traditional lecture, conversational and with discussion of certain problems
Class during which students, leaded by the teacher, solve exercises and discuss problems. Students also prepare a 45-minute presentations on modeling of particular physical phenomena in nature present them, answer questions, listen to presentations of colleagues and ask them questions.
| Outcome description | Outcome symbols | Methods of verification | The class form |
Class
The final grade of the class is issued on the basis of points obtained from two written tests and give the oral presentation on a modeling of a selected natural phenomenon
Lecture.
The necessary condition of accede to the final written exam of the lecture is a positive evaluation of the class. The exam consists of theoretical questions and short exercises to be solved and verifies the effects of learning in the areas of knowledge and skills. Obtaining 50% of points guarantees a positive grade.
The final grade is the arithmetic mean of those of the class and the exam.
B. Cushman-Roisin, Environmetal Fluid Mechanics, available on the author's web page: http://www.dartmouth.edu/~cushman/books/EFM-old.html
D. G. Andrews, An introduction to atmospheric physics, 2 ed, Cambridge University Press, 2010
Materials provided by a lecturer
Modified by dr hab. Maria Przybylska, prof. UZ (last modification: 29-09-2020 19:07)
