SubjectsSubjects(version: 863)
Course, academic year 2019/2020
  
Mathematical methods for physical chemistry - N403045
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: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type:  
Guarantor: Kolafa Jiří prof. RNDr. CSc.
Malijevský Alexandr doc. Mgr. Ph.D.
Z//Is interchangeable with: M403016
This subject contains the following additional online materials
Annotation -
Last update: Malijevský Alexandr doc. Mgr. Ph.D. (24.09.2015)
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: Malijevský Alexandr doc. Mgr. Ph.D. (24.09.2015)

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: Malijevský Alexandr doc. Mgr. Ph.D. (24.09.2015)

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: Kolafa Jiří prof. RNDr. CSc. (26.09.2013)

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

Teaching methods -
Last update: Malijevský Alexandr doc. Mgr. Ph.D. (24.09.2015)

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: Malijevský Alexandr doc. Mgr. Ph.D. (24.09.2015)

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: Kolafa Jiří prof. RNDr. CSc. (21.08.2013)

Mathematics I, Physical Chemistry I

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
Coursework assessment
Form Significance
Regular attendance 10
Examination test 30
Continuous assessment of study performance and course -credit tests 30
Oral examination 30

 
VŠCHT Praha