CH2BP_1W2S Seminar in Mathematics for Chemists

Faculty of Education
Autumn 2011
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. Luděk Jančář, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Helena Pelcová
Timetable of Seminar Groups
CH2BP_1W2S/01: Mon 11:35–12:20 učebna 7, L. Jančář
Prerequisites
Knowledge of mathematics on the primary school.
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.
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)
The course is taught annually.
Information on course enrolment limitations: Nezapisují studenti chemie v kombinaci s matematikou
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017.
  • Enrolment Statistics (Autumn 2011, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2011/CH2BP_1W2S