FC3801 Seminar in Mathematics for Chemists

Faculty of Education
Autumn 2023
Extent and Intensity
0/1/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Jana Horská, Ph.D. (lecturer)
doc. RNDr. Petr Sládek, CSc. (lecturer)
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: Thu 10:00–10:50 učebna 7, 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
    required literature
  • POLÁK, Josef. Středoškolská matematika v úlohách. 2., upr. vyd. Praha: Prometheus, 2006, 371 s. ISBN 8071963372. info
  • POLÁK, Josef. Středoškolská matematika v úlohách. 1. vyd. Praha: Prometheus, 1999, 626 s. ISBN 8071961663. info
    recommended literature
  • POLÁK, Josef. Přehled středoškolské matematiky. 6. vyd. Praha: Prometheus, 1995, 608 s. ISBN 808584978X. info
  • HORÁK, Pavel. Úvod do lineární algebry [Horák, 1976]. Brno: Univerzita J.E. Purkyně, 1976, 135 s. info
  • HLAVÁČEK, Antonín. Sbírka řešených příkladů z vyšší matematiky pro přípravu pracujících ke studiu na vysokých školách. Vyd. 2., změn. Praha: Státní pedagogické nakladatelství, 1971, 434 s. info
  • VEJSADA, František and František TALAFOUS. Sbírka úloh z matematiky pro gymnázia. 1. vyd. Praha: Státní pedagogické nakladatelství, 1969, 687 s. 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)
Study Materials
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 2021, Autumn 2022, Autumn 2024.
  • Enrolment Statistics (Autumn 2023, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2023/FC3801