| Course title | Mathematics II |
|---|---|
| Course code | KMI/KMIIA |
| Organizational form of instruction | Lecture |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | English |
| Status of course | Compulsory-optional |
| Form of instruction | unspecified |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
|
1. Derivatives, formal definition 2. Function analysis, basics 3. Function analysis, detailed 4. Advenced methods of integration 5. Application of integration 6. Vector spaces, basics 7. Vector spaces, detailed 8. Matrices, determinants, inverse matrix 9. System of linear equations 10. Multivariate calculus 11. Extremes of multivariates functions 12. Extremes of multivariates functions with bound conditions 13. Chosen advanced chapters
|
| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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| Learning outcomes |
|
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 |
|
Mathematics I (MATI, MATIA). Student has to know basics of calculus and linear algebra.
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 |
|
Combined exam, Test
Active attendance of the first seminar. Completion of all credit tests and passing a 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. Tests may be assigned as homework or during the seminars. Passing both written (50%) and oral examination parts. |
| 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): Accounting and Financial Management (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 |
| Faculty: Faculty of Economics | Study plan (Version): Financial and Insurance Mathematics (4) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Structural Policy of the EU for Public Administration (4) | Category: Economy | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Management of Commerce (4) | Category: Economy | 1 | Recommended year of study:1, Recommended semester: Summer |