| Course title | Mathematics |
|---|---|
| Course code | UMB/010 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Frequency of the course | In each academic year, in the winter semester. |
| Semester | Winter |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory, Compulsory-optional |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
|
| Course content |
|
Content of lectures: 1. Functions, graphs, Inverse Functions. 2. Polynomial functions. 3. Trigonometric Functions, Exponential Function, Logarithm Function. 4. Limits,a symptotes 5. Continuity. 6. Derivatives (Product and Quotient Rule, Derivatives of Trig Functions, Derivatives of Exponential and Logarithm Functions, Trig Functions. 7. Higher Order Derivatives. 8. Applications of derivations. Convexity. 9. Local extrem, conditions for sufficient conditions of extrema. 10. Elements of linear algebra (Matrix, Determinant). 11. Systems of linear equations. 12. Integral. Methods of integration. 13. Area Between Two Curves, Volumes. Content of practicals: Calculation of limits, derivatives and integrals. Various applications.
|
| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), Work with text (with textbook, with book)
|
| Learning outcomes |
|
To develop basic concepts of calculus and linear algebra.
orientation in data and processes of various disciplines |
| Prerequisites |
|
high school knowledge of mathematics
|
| Assessment methods and criteria |
|
Written examination, Student performance assessment, Interim evaluation
To complete the course it is necessary to pass the credit and pass the exam. To gain credit, sufficient attendance at the exercises and sufficient average success rate (50%) in short practice tests. Credit is a prerequisite for the exam test. The exam is written and is successful in reaching 50% of the test. |
| Recommended literature |
|
| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Biology (1) | Category: Biology courses | - | Recommended year of study:-, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Secondary Schools Teacher Training in Chemistry (1) | Category: Pedagogy, teacher training and social care | - | Recommended year of study:-, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Environmental Management (1) | Category: Ecology and environmental protection | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Biomedical Laboratory Techniques (1) | Category: Biology courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Chemistry for future teachers (1) | Category: Chemistry courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |