FC3801 Seminar in Mathematics for Chemists

Faculty of Education
Autumn 2021
Extent and Intensity
0/1/0. 1 credit(s). Type of Completion: z (credit).
Taught in person.
Teacher(s)
PhDr. Mgr. Michaela Drexler (seminar tutor)
Mgr. Jana Horská, Ph.D. (lecturer)
doc. RNDr. Petr Sládek, CSc. (lecturer)
Mgr. Jan Nekvapil (assistant)
Guaranteed by
doc. RNDr. Petr Sládek, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Jana Jachymiáková
Supplier department: Department of Physics, Chemistry and Vocational Education – Faculty of Education
Timetable of Seminar Groups
FC3801/01: Tue 21. 9. to Tue 14. 12. Tue 12:00–12:50 učebna 10, J. Horská
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Main objectives can be summarised as follows:
to repeat and to practice of the subject matter of mathematics on the secondary school;
to practice foundations of university mathematics necessary for chemistry and chemical calculations education.
Learning outcomes
At the end of the course the student is able to solve examples of secondary school mathematics and learn the basics of mathematics necessary for teaching chemistry and chemical calculations.
Syllabus
  • 1. Real numbers: algebraic operations, calculations with fractions, irrationaly numbers, binomical theorem.
  • 2. Imaginary and complex numbers: pure imaginary numbers, complex numbers in various forms, logarithms of complex numbers.
  • 3. Functions and their use in chemistry: the term and the definition of the function, types of functions (linear, quadratic, cubic, transcendent, goniometric), graphical interpretation of functions, direct and indirect dependences.
  • 4. Goniometric functions.
  • 5. Exponential functions. Rules for calculations with powers and roots.
  • 6. Logarithmic functions: decadic and natural logarithm, rules for calculations with logarithms.
  • 7. Powers and logarithms.
  • 8. Equations, equation solutions and their use in chemistry: linear equations, quadratic equations, cubic equations, equations of the n-th step, transcendent equations, goniometric equations.
  • 9. Systems of equations, their solution and use in chemistry: Gauss’s method.
Literature
  • POLÁK, Josef. Přehled středoškolské matematiky. Online. 6. vyd. Praha: Prometheus, 1995. 608 s. ISBN 808584978X. [citováno 2024-04-24] info
  • HORÁK, Pavel. Úvod do lineární algebry [Horák, 1976]. Online. Brno: Univerzita J.E. Purkyně, 1976. 135 s. [citováno 2024-04-24] info
  • HLAVÁČEK, Antonín. Sbírka řešených příkladů z vyšší matematiky pro přípravu pracujících ke studiu na vysokých školách.. Online. Vyd. 2., změn. Praha: Státní pedagogické nakladatelství, 1971. 434 s. [citováno 2024-04-24] info
  • VEJSADA, František and František TALAFOUS. Sbírka úloh z matematiky pro gymnázia. Online. 1. vyd. Praha: Státní pedagogické nakladatelství, 1969. 687 s. [citováno 2024-04-24] info
Teaching methods
seminar
theoretical preparation
independent tasks
class discussion
Assessment methods
written test
credit
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Information on the extent and intensity of the course: 8 hodin.
Information on course enrolment limitations: Nezapisují si studenti chemie v kombinaci s matematikou
The course is also listed under the following terms Autumn 2017, Autumn 2018, Autumn 2019, autumn 2020, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (Autumn 2021, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2021/FC3801