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Lecturer(s)
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Ženčák Pavel, RNDr. Ph.D.
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Bebčáková Iveta, Mgr. Ph.D.
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Radová Jana, Mgr.
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Pavlů Ivana, Mgr. Ph.D.
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Course content
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1. Mathematical preliminaries: Numbers, algebraic expressions, algebraic equations and inequalities. 2. Combinatorics and fundamentals of probability theory and statistics. 3. Linear algebra: Vectors, matrices, determinants, systems of linear equations (Frobenius Theorem and the Cramer's Rule). 4. Sequences, limits of sequences, infinite series. 5. Functions (real functions of a single real variable): The notion of functions, inverse functions, composition of functions. 6. Elementary functions: Exponential, logarithmic, circular and antitrigonometric functions. 7. Limit and continuity of a function. 8. Fundamentals of differential calculus: Derivative and its geometrical and physical meanings, differential, properties of functions.
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
- Attendace
- 52 hours per semester
- Homework for Teaching
- 20 hours per semester
- Preparation for the Course Credit
- 40 hours per semester
- Preparation for the Exam
- 65 hours per semester
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Learning outcomes
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Understand the basics of mathematical analysis, linear algebra and statistical analysis.
Comprehension Understand the basics of mathematical analysis, linear algebra and statistical analysis.
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Prerequisites
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Grammar school mathematics.
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Assessment methods and criteria
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Written exam, Dialog
Credit: Active participation. Passing two written tests (i.e. obtaining at least half of the possible points in each test). Exam: Oral exam.
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Recommended literature
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Acheson D. (2018). The Calculus Story : A Mathematical Adventure. Oxford University Press.
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B. Budinský, J. Charvát. (1990). Matematika I. SNTL, Praha.
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Bartch H. J. (1983). Matematické vzorce. SNTL, Praha.
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E. Calda, V. Dupač. (1999). Matematika pro gymnázia. Kombinatorika, pravděpodobnost, statistika. Prométheus, Praha.
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J. Kopáček. (2002). Matematická analýza pro fyziky. Matfyzpress.
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Klůfa, J., Pasáčková, J. (2023). Učebnice matematiky (1) pro studenty VŠE. Jesenice: Ekopress.
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Kolda S., Krajňáková D., Kimla A. (1990). Matematika pro chemiky II. SNTL Praha.
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Kolda S., Krajňáková D., Kimla A. (1989). Matematika pro chemiky I. SNTL Praha.
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R. A. Adams. (1991). Calculus: A Complete Course. Addision-Wesley Publishers Limited.
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Tebbutt P. (1995). Basic Mathematics for Chemists. John Wiley & Sons, Chichester.
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V. Kotvalt. (2003). Základy matematiky pro biologické obory. Karolinum, Praha.
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