C5005 Mathematics in studying molecules

Faculty of Science
Autumn 2025
Extent and Intensity
1/2/0. 5 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
prof. Mgr. Lukáš Žídek, Ph.D. (lecturer)
Mgr. Veronika Horská, Ph.D. (assistant)
Guaranteed by
prof. Mgr. Lukáš Žídek, Ph.D.
National Centre for Biomolecular Research – Faculty of Science
Supplier department: National Centre for Biomolecular Research – Faculty of Science
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to understand and practice mathematical procedures used in chemistry.
Learning outcomes
After finishing the course, the student will be able to
-overcome fear of mathematics
-get insight into advanced mathematical procedures by their step-by-step analysis
-appreciate the beauty and usefulness of mathematical description of Nature -understand the mathematical origin of physical laws important in chemistry
-understand and reproduce derivation of mathematical relations describing chemical phenomena facts and processes
-actively use advanced mathematical apparatus in solving problems related to chemistry
Syllabus
  • 1. Combinatory analysis of numbers of molecules
  • 2. Derivation of Boltzmann's law
  • 3. Work in thermodynamics
  • 4. Including entropy
  • 5. Free energy and equilibria
  • 6. Kinetic theory of gases
  • 7. Diffusion and vector fields
  • 8. Rotation of coordinates and goniometric functions
  • 9. Spherical coordinates and spherical symmmetry
  • 10. Electric fields, interactions of charges and electric dipoles
  • 11. Vibrations and normal modes
  • 12. Electromagnetic waves
  • 13. Manifestation of electrons in chemistry
Literature
    recommended literature
  • ATKINS, P. W.; Julio DE PAULA and James KEELER. Atkins' physical chemistry. Twelfth edition. Oxford: Oxford University Press, 2023, xxxix, 927. ISBN 9780198847816. info
  • REKTORYS, Karel. Přehled užité matematiky. 7. vyd. Praha: Prometheus, 2000, xxxii, 720. ISBN 8071961795. info
    not specified
  • ATKINS, P. W. and Julio DE PAULA. Fyzikální chemie. Vyd. 1. Praha: Vysoká škola chemicko-technologická v Praze, 2013, xxvi, 915. ISBN 9788070808306. info
  • HOUSTON, Paul L. Chemical kinetics and reaction dynamics. Mineola, N.Y.: Dover Publications, 2006, xvii, 330. ISBN 0486453340. info
  • FEYNMAN, Richard Phillips; Robert B. LEIGHTON and Matthew L. SANDS. Feynmanovy přednášky z fyziky s řešenými příklady. 1. vyd. Praha: Fragment, 2000, 732 s. ISBN 9788072004058. info
Teaching methods
The basis of the course is individual practicing of the covered mathematical procedures (in home works) and their discussion at seminars. Lectures will support the teaching by commenting the mathematical procedures and explaining their specific features.
Assessment methods
The major impact (80% weight) on the final evaluation has the active participation (home works and discussion in seminars), oral examination (20% weight) tests the ability to discuss a gived topic.
Náhradní absolvování
considering the teaching method, personal presence is expected
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught every week.
The course is also listed under the following terms Spring 2025.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2025/C5005