SubjectsSubjects(version: 877)
Course, academic year 2020/2021
  
Mathematical methods for physical chemistry - M403016
Title: Matematické metody pro fyzikální chemii
Guaranteed by: Department of Physical Chemistry (403)
Actual: from 2019
Semester: winter
Points: winter s.:3
E-Credits: winter s.:3
Examination process: winter s.:
Hours per week, examination: winter s.:2/1 Ex [hours/week]
Capacity: unlimited / unlimited (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type: Master's (post-Bachelor)
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Kolafa Jiří prof. RNDr. CSc.
Malijevský Alexandr doc. Mgr. Ph.D., DSc.
Annotation -
Last update: Kubová Petra Ing. (10.01.2018)
The course repeats and extends the basic mathematical knowledge of students by advanced topics needed for theoretical and experimental work. The chosen methods are illustrated on solved problems.
Aim of the course -
Last update: Kubová Petra Ing. (10.01.2018)

Students will be able to:

Solve standard mathematical problems

Solve advanced problems in many areas of physical chemistry and other areas of chemistry and technology.

Propose experiments and process data including error analysis.

Know what type of problems can be solved mathematically, which methods are apropriate, and how to design a strategy solutions (analytical calculation, numerical modeling or computer simulation)

Literature -
Last update: Kubová Petra Ing. (10.01.2018)

Z:Boas, M. L.: Mathematical Methods in the Physical Sciences

R:Goodson D.Z., Mathematical methods for physical and analytical chemistry,Wiley,New York,2011,978-0-470-47354-2

A:Rektorys K,Přehled užité matematiky I,Praha,Prometheus,2009,978-80-7196-180-2

A:Ralston A.,Základy numerické matematiky,Praha,Academia,1978

Learning resources -
Last update: Kubová Petra Ing. (10.01.2018)

http://www.vscht.cz/fch/cz/pomucky/kolafa/N403045.html

Teaching methods -
Last update: Kubová Petra Ing. (10.01.2018)

Lectures within which illustrative problems will be solved. Within the part covering numerical methods the mathematical software Maple will also be used.

Syllabus -
Last update: Kubová Petra Ing. (10.01.2018)

1. Calculus of single variable functions

2. Calculus of multivariable functions

3. Coordinate transformation. Path and surface integrals

4. Ordinary differential equations

5. Partial differential equations, Green function

6. Fourier transform

7. Calculus of variations

8. Linear algebra: overview

9. Fundamentals of Numerical Mathematics: interpolation and extrapolation, numerical differentiation and quadrature

10. Numerical solutions of differential equations

11. Fitting of functions

12. Introduction to Mathematical Statistics I

13. Introduction to Mathematical Statistics II

14. Experiment design in terms of statistics and errors

Registration requirements -
Last update: Kubová Petra Ing. (10.01.2018)

Mathematics I, Physical Chemistry I

Course completion requirements -
Last update: Řehák Karel doc. Ing. CSc. (02.03.2018)

Elaboration of homework.

Exam test, oral exam.

Teaching methods
Activity Credits Hours
Účast na přednáškách 1 28
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
3 / 3 84 / 84
 
VŠCHT Praha