Course title | Mathematics 2 |
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Course code | KMI/MAIIA |
Organizational form of instruction | Lecture + Lesson |
Level of course | Bachelor |
Year of study | 1 |
Semester | Summer |
Number of ECTS credits | 6 |
Language of instruction | English |
Status of course | Compulsory |
Form of instruction | unspecified |
Work placements | unspecified |
Recommended optional programme components | None |
Lecturer(s) |
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Course content |
1. Derivatives, more formal introduction, advanced theorems 2. Shape of function with all aspects - first part 3. Shape of function - second part 4. Integral, per partes and substitution 5. Integral, applications, revolution solids, average 6. Vector space, introduction, linear independence 7. Vector space, rank, basis, subspace 8. Matrices, determinants, matrix equation, inverse matrix, GEM 9. System of linear equations (also with infinite number of solutions) 10. Multivariate functions, partial derivatives, stationary points 11. Multivariate functions, free extremes 12. Multivariate functions, bounded extremes 13. Selected advanced chapters
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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 |
Student has to know basics of calculus and linear algebra. Prerequisites: KMI/MATI, KMI/MATIA Mathematics I
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 participation in all seminars (100%) - gradual completion of all tasks in the Moodle e-learning system by the given deadlines; the students who fail the deadlines will not be allowed to take particular credit tests. - 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, 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): Management and Business Economics (4) | Category: Economy | 1 | Recommended year of study:1, Recommended semester: Summer |
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): Management and Business Economics (3) | 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 |
Faculty: Faculty of Economics | Study plan (Version): Engineering and Informatics (1) | Category: Economy | 1 | Recommended year of study:1, Recommended semester: Summer |