| Course title | Mathematics 2 |
|---|---|
| Course code | KMI/YMAII |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | English |
| Status of course | unspecified |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Course availability | The course is available to visiting students |
| Lecturer(s) |
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| Course content |
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1 - Limits and continuity of functions 2 - First derivative, differential 3 - Techniques of differentialisation 4 - Applications of the first derivative 5 - Derivatives of higher orders and their applications 6 - Indefinite integrals, integration techniques, differential equations 7 - Definite integral and its applications 8 - Multi-variate functions 9 - Partial derivatives, the differential 10 - Local extremes of multi-variate functions 11 - Constrained and absolute extremes of functions of 2 variables with applications 12 - MAPLE V software utilisation in linear algebra 13 - MAPLE V software utilisation in mathematical analysis
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| Learning activities and teaching methods |
| Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming) |
| Learning outcomes |
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It is the second part of the course of Engineering Mathematics. It is targeted at the fundamenals of the differential and integral calculus of one real variable and the differential calculus of multi-variate functions. Applications in economics are emphasised.
The student will understand the basic concepts of differential and integral calculus. He/she will perform the basic techniques of differentiation and integration and their applications. He/she will solve optimisation problems and master the mathematical software MAPLE V. |
| Prerequisites |
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Mathematics I (MATI, MATIA).
KMI/CM1 ----- or ----- KMI/KMATA ----- or ----- KMI/KMATI ----- or ----- KMI/MATI ----- or ----- KMI/MATIA ----- or ----- KMI/M1 ----- or ----- KMI/M1A ----- or ----- KMI/YMATI |
| Assessment methods and criteria |
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Combined exam, Test
- active participation in all seminars (100%) - gradual completion of all tasks in the Moodle e-learning system by the given deadlines; - to pass credit tests (at least 70%), 6 credit tests during 2 open questions, time allocated is 12 minutes, the final score is average of 3 best attempts, - to pass a combined examination - written part (at least 50%), 4 open questions, time allocated is 60 minutes and following oral part (at least 50%) |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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