Course: Mathematics

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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)
  • Dostálková Iva, doc. RNDr. Ph.D.
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)
  • Class attendance - 56 hours per semester
  • Preparation for classes - 56 hours per semester
  • Preparation for credit - 56 hours per semester
  • Preparation for exam - 56 hours per semester
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
  • Bušek I., Calda E. Matematika pro gymnázia. Základní poznatky. Praha, 2008. ISBN 978-80-7196-366-0.
  • Dostálková I. Matematika 0. České Buějovice, 1992.
  • Hrubý D, Kubát J. Matematika pro gymnázia. Diferenciální a integrální počet. Praha, 2008. ISBN 978-80-7196-363-9.
  • Charvát J., Zhouf J. Matematika pro gymnázia. Rovnice a nerovnice. ISBN 807196154X.
  • Odvárko O. Matematika pro gymnázia. Funkce, 2008. 2008. ISBN 80-7196-164-7.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): - (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): Chemistry for future teachers (1) Category: Chemistry 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): Chemistry for future teachers (1) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
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): 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): Environmental Management (1) Category: Ecology and environmental protection 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): 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): 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): Applied Informatics (1) Category: Informatics 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): 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): Applied Informatics (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter