| Course title | Mathematics II |
|---|---|
| Course code | KMI/KMTII |
| Organizational form of instruction | Lecture |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| 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 |
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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)
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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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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 |
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Combined exam, Test
Pre-examination Requirements: Active participation in the first consultation. Gradual completion of tasks in the course Mathematics 2 in the e-learning system Moodle. The students who are not active in the course for 30 days loose the possibility of obtaining credits. To take 6 credit tests during the semester (2 open questions, time allocated is 10 minutes), to score at least 70% in average of scores in best 3 tests. The test may be taken online from home or at the consultations provided by the teacher. The dates of the tests are published in the e-learning system Moodle at the beginning of the semester, substitute tests (apology necessary within 3 days) are taken in the last week of the teaching part of the semester and are taken only in person (not online). Students may take each test once only. The students who succeed in the credit tests may take the exam and they have to register for the exam in the system STAG. If students cannot take the exam, they have to apologise within 3 days, otherwise they are considered to fail. Examination Requirements: Knowledge of the subject matter given by the syllabus. To succeed in the examination consisting of two parts - written (at least 50%) and oral (at least 50%), the written exam test consists of 4 complex problems with open questions. The weights are 50% for the written part and 50% for the oral part. Grading: Excellent (91-100%) Excellent minus (81-90%) Very good (71-80%) Very good minus (61-70%) Good (51-60%) Failed (0-50%) |
| 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): 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 |