FC3801 Seminar in Mathematics for Chemists

Faculty of Education
Autumn 2017
Extent and Intensity
0/1/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Luděk Jančář, CSc. (seminar tutor)
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: Mon 9:20–10:05 učebna 30, L. Jančář
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
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
Upon completion of this course the student will gain:  knowledge of the procedures for solving the basic calculations from the secondary school mathematics curriculum and the curriculum of the basics of mathematics necessary for the teaching of chemistry and chemical calculations  skills in solving basic calculations from the mathematics curriculum of secondary school and from the curriculum of the basics of mathematics necessary for teaching chemistry and chemical calculations  a comprehensive overview of the content of the subject's subject (real and complex numbers, functions and their distribution, equations and their distribution, solving equations and their systems)
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. 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 2018, Autumn 2019, autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2017/FC3801