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Lecturer(s)
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Tomeček Jan, doc. RNDr. Ph.D.
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Bebčáková Iveta, Mgr. Ph.D.
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Ženčák Pavel, RNDr. Ph.D.
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Pavlů Ivana, Mgr. Ph.D.
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Course content
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1. Fundamentals of integral calculus: Indefinite integral, the Riemann integral, application in determination of curve length, area, surface and volume of a solid of revolution. 2. Functions of two variables: Partial derivative and local extremes. 3. Introduction to differential equations: First order ordinary differential equations. 4. Fundamentals of numerical mathematics: Numerical solving of equations with one unknown variable - iterative method. Interpolation, least squares approximation method, numerical differentiation and integration.
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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 Course Credit
- 30 hours per semester
- Preparation for the Exam
- 70 hours per semester
- Homework for Teaching
- 30 hours per semester
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Learning outcomes
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Understand the principles of integral calculus and theory of differential equations.
Comprehension Understand basic principles of integral calculus and theory of differential equations.
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Prerequisites
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Differential calculus of functions of one variable.
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Assessment methods and criteria
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Oral exam, Written exam
Credit: Passing written tests (i.e. obtaining at least half of the possible points in each test). Exam: Written and oral.
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Recommended literature
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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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Tebbut P. (1995). Basic Mathematics for Chemists. Chichester.
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