| Course title | Mathematics I |
|---|---|
| Course code | UAFM/C003 |
| Organizational form of instruction | Lecture + Seminar |
| Level of course | Bachelor |
| Year of study | 1 |
| Semester | Winter |
| Number of ECTS credits | 5 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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Matrices, determinants. Systems of linear equations. Vectors. Linear dependence and independence of vectors. Scalar product. Vector product. Complex numbers, operations on complex numbers. The concept of real functions of a real variable. The composite function. The inverse function. Elementary functions. Limit and connection of a function. Derivative. Geometrical and physical meaning. Applications. Derivatives of elementary functions. The basic formulas for differentiation. Differential of a function. Higher derivatives. Investigation of behavior of a function Primitive functions, indefinite integral. The basic formulas for integration. Method by parts. Substitution methods. Integration of rational functions. Definite integral and its applications. Basic differential equations.
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| Learning activities and teaching methods |
| Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book) |
| Learning outcomes |
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The aim of this course is to provide students with basics of mathematical tools with respect to their study field
Students will recapitulate and extend their knowledge of some parts of secondary school mathematics. They will be provided with basics of differential and integral calculus of one variable and with basic linear algebra. |
| Prerequisites |
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Not specified.
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| Assessment methods and criteria |
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Oral examination, Written examination, Student performance assessment
The exam - minimally 50% success of 5 computational tasks and fulfilment of mathematical minimum required from high school. The content of mathematical minimum is located in study materials of the course of Mathematics I in STAG ("Mat_minimum_ze_stred_skoly_pozadavky_2015-16"). |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Chemical Technology | Study plan (Version): Chemistry and Technical Chemistry (2013) | Category: Engineering chemistry and chemistry of silicates | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Chemistry and Technical Chemistry (2015) | Category: Engineering chemistry and chemistry of silicates | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Evaluation and Analysis of Foodstuffs (2014) | Category: Food industry and food industry chemistry | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Evaluation and Analysis of Foodstuffs (2015) | Category: Food industry and food industry chemistry | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Environment Protection (2014) | Category: Ecology and environmental protection | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Evaluation and Analysis of Foodstuffs (2013) | Category: Food industry and food industry chemistry | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Chemistry and Technical Chemistry (2014) | Category: Engineering chemistry and chemistry of silicates | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Environment Protection (2015) | Category: Ecology and environmental protection | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Chemical Technology | Study plan (Version): Environment Protection (2013) | Category: Ecology and environmental protection | 1 | Recommended year of study:1, Recommended semester: Winter |