Print syllabusMathematical models in biology and social sciences
General data
| Course ID: | 1000-1D10MBS |
| Erasmus code / ISCED: |
11.944
|
| Course title: | Mathematical models in biology and social sciences |
| Name in Polish: | Modele matematyczne w biologii i naukach społecznych |
| Organizational unit: | Faculty of Mathematics, Informatics, and Mechanics |
| Course groups: |
Master seminars for Mathematics MSc seminars for Bioinformatics |
| ECTS credit allocation (and other scores): |
6.00
|
| Language: | English |
| Type of course: | Master's seminars |
| Prerequisites: | Analytic Functions of One Complex Variable 1000-134FAN |
| Short description: |
We will discuss mathematical models and methods used in natural and social sciences. We will analyze complex processes in Physics, Biology, Medicine and Social Sciences that can be described by discrete and continuous dynamical systems both deterministic and stochastic. |
| Full description: |
We will discuss mathematical models and methods used in natural and social sciences. We will analyze complex processes in Physics, Biology, Medicine, and Social Sciences that can be described by discrete and continuous dynamical systems both deterministic and stochastic ones. Special attention will be given to time delays, diffusion in space and stochastic fluctuations. The description will be on microscopic level (kinetic equations, Markov chains, birth and death processes) on macroscopic level (ordinary and partial differential equations) and in the framework of game theory. We will investigate asymptotic behavior for large time, stability and existence of attractors (including the strange attractors). |
| Bibliography: |
References will be given at the first meeting. |
| Learning outcomes: |
Knowledge and skills: 0. Can write a thesis. 1. Knows the basic mathematical models (appropriate mathematical structures) of biological, medical and social processes. 2. Can construct mathematical models on the basis of literature in natural and social sciences. 3. Can perform a mathematical analysis of the model. 4. Knows the basic techniques of mathematical model analysis. 5. Knows how to prepare and deliver presentations of varying degrees of generality regarding mathematical details as well as biological, medical and social foundations. 6. Can prepare (also in English) a scientific report regarding selected field of mathematics. 7. Has language skills in the field of mathematics in accordance with the requirements specified for the B2 + level of the European System for the Description of Languages. 8. Can define the directions of further learning and realise the process of self-education. Social competence: 1. Is able to establish a dialogue with representatives of natural and social sciences. 2. Can promote mathematics as a tool to describe the reality. |
| Assessment methods and assessment criteria: |
1st year: Class attendance, 2 presentations. 2nd year: Class attendance, 2 presentations, submitted MA thesis. |
Classes in period "Academic year 2023/24" (in progress)
| Time span: | 2023-10-01 - 2024-06-16 |
 
MO TU W SEM-MGR
TH FR |
| Type of class: |
Second cycle diploma seminar, 60 hours
|
|
| Coordinators: | Marek Bodnar, Urszula Foryś | |
| Group instructors: | Marek Bodnar, Urszula Foryś | |
| Students list: | (inaccessible to you) | |
| Examination: | Pass/fail |
Classes in period "Academic year 2024/25" (future)
| Time span: | 2024-10-01 - 2025-06-08 |
MO TU W TH FR |
| Type of class: |
Second cycle diploma seminar, 60 hours
|
|
| Coordinators: | Marek Bodnar, Urszula Foryś, Mirosław Lachowicz | |
| Group instructors: | Marek Bodnar, Urszula Foryś, Mirosław Lachowicz | |
| Students list: | (inaccessible to you) | |
| Examination: | Pass/fail |
Copyright by University of Warsaw.
