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Lecturer(s)
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Tomeček Jan, doc. RNDr. Ph.D.
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Burkotová Jana, Mgr. Ph.D.
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Bebčáková Iveta, Mgr. Ph.D.
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Radová Jana, Mgr.
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Ženčák Pavel, RNDr. Ph.D.
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Course content
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1. Mathematical preliminaries: Numbers, algebraic expressions, algebraic equations and inequalities. 2. Linear algebra: Vectors, matrices, determinants, systems of linear equations (Frobenius Theorem and the Cramer's Rule). 3. Sequences, limits of sequences, infinite series. 4. Real functions of a single real variable: The notion of functions, inverse functions, composition of functions. 5. Elementary functions: Exponential, logarithmic, trigonometric functions. 6. Limit and continuity of a function. 7. 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
- Preparation for the Exam
- 70 hours per semester
- Homework for Teaching
- 60 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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Mathematics of secondary school.
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Assessment methods and criteria
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Written exam, Dialog
Credit: Passing several written tests (i.e. obtaining at least half of the possible points in each test). Exam: Short discussion on the topic.
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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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Bartch H. J. (1983). Matematické vzorce. SNTL, Praha.
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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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Tebbutt P. (1995). Basic Mathematics for Chemists. John Wiley & Sons, Chichester.
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