| Course title | Mathematics 2 |
|---|---|
| Course code | KMI/MATII |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | 1 |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory-optional |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. System of linear equations, Gauss method, structure of solution 2. Square matrices, determinants, 3. Matrix equations, inverse matrix 4. Advanced methods of integration 5. Limits of functions, formal definition of derivatives 6. Derivatives, derivation of formulas 7. Derivatives, asymptotic behaviour, applications 8. Function analysis, detailed 9. Multivariate calculus, partial derivatives 10. Extremes of multivariates functions 11. Multivariate integration, Fubini theorem 12. Interpolation methods, piecewise affine function, regression 13. Interpolation methods, splines, polynomial interpolation
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| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with multi-media resources (texts, internet, IT technologies), Blended learning
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| 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 and linear algebra. Applications in economics are emphasised.
The student will understand the basic concepts of differential and integral calculus and linear algebra. He/she will perform the basic techniques of differentiation and integration and their applications. He/she will solve optimisation problems includeing multivariete problems. |
| Prerequisites |
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Student has to know basics of calculus and linear algebra. Prerequisites: 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%) - to pass credit tests (at least 70%), 6 credit tests during 2 open questions, time allocated is 10 minutes, the final score is average of 3 best attempts, student has one attempt for each test only - 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 | |
|---|---|---|---|---|
| Faculty: Faculty of Economics | Study plan (Version): Management of Commerce (4) | Category: Economy | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Economic Informatics (4) | Category: Economy | 1 | Recommended year of study:1, Recommended semester: Summer |