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Mathematical methods in biophysics and medical physics - course description

General information
Course name Mathematical methods in biophysics and medical physics
Course ID 13.2-WF-FizD-MMBMP- 17
Faculty Faculty of Physics and Astronomy
Field of study Physics
Education profile academic
Level of studies Second-cycle studies leading to MS degree
Beginning semester winter term 2019/2020
Course information
Semester 2
ECTS credits to win 5
Available in specialities Medical Physics
Course type obligatory
Teaching language english
Author of syllabus
Classes forms
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 15 1 - - Credit with grade
Class 30 2 - - Credit with grade

Aim of the course

The aim of the course is to present the mathematical methods which a most often used in biology, biophysics and medical physics

Prerequisites

The knowledge of calculus, linear algebra and mathematical methods of physics is assumed.

Scope

  1. Studying complex systems with interactions

  2. Biological complex systems with interactions

  3. Probabilistic methods in biological systems

  4. Probability theory in bioinformatics

  5. Stochastic processes

  6. The dynamics of contagious diseases in animals and humans

  7. Monte Carlo methods in experimental medical physics

Exercises to the lecture concern specific topics, increase calculation skills. The emphasis is on differential equations, probability theory problems, stochastic processes analysis and mathematical foundations of simulational methods.

Teaching methods

In addition to traditional lectures multimedia resources are used, the internet etc. In exercises students gain skills while calculating thermodynamic features of the physical systems, they participate in the discussion.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

The lecture ends with the completion of the evaluation. Examination is a written test of theoretical knowledge and practical computational skills. Exercise assessments are made ​​for partial tasks, the final evaluation is a written test and assessment of calculation skills using mathematical methods.

Recommended reading

[1] J. David Logan and William Wolesensky, Mathematical Methods in Biology

[2] Jack Lancaster, Bruce Hasegawa, Fundamental Mathematics and Physics of Medical Imaging.

Further reading

Notes


Modified by dr hab. Piotr Lubiński, prof. UZ (last modification: 05-03-2020 15:19)