Course: Selected Aspects of Mathematic. Analysis

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Course title Selected Aspects of Mathematic. Analysis
Course code KMT/VKMA
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study 3
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Hora Jaroslav, Doc. RNDr. CSc.
  • Honzík Lukáš, PhDr. Ph.D.
Course content
Content: 1st ? 4th week: Revision ? elementary techniques for finding primitive function. 5th week: Riemann?s definition of definite integral. 6th ? 8th week: Application of definite integral in geometry. 9th week: Indefinite integral. 10th ? 13th week: Elemental types of first and second order differential equations.

Learning activities and teaching methods
Self-study of literature, Textual studies, Lecture, Practicum
  • Contact hours - 78 hours per semester
  • Preparation for an examination (30-60) - 60 hours per semester
  • Preparation for formative assessments (2-20) - 30 hours per semester
prerequisite
professional knowledge
Assumptions Elemental knowledge and usual working techniques on outcome levels of courses KMT/MMM2 and KMT/MSB are assumed. Students are able to apply basic knowledge of elementary functions of elementary proof of simple statements, handle simple calculations in the field of mathematical analysis.
learning outcomes
Elementary knowledge of theory and common computer techniques of subjects KMT/MMM2 and KMT/MSB.
teaching methods
Lecture
Practicum
Textual studies
Self-study of literature
assessment methods
Oral exam
Written exam
Test
Recommended literature
  • Jarník, Vojtěch. Diferenciální rovnice v komplexním oboru. Praha : Academia, 1975.
  • Matvejev, N. M. Zbierka príkladov z obyčajných diferenciálnych rovníc. 2. vyd. Bratislava : Alfa, 1964.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Education Geography in Education (14) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Biology in Education (15) Biology courses 3 Summer
Faculty of Education Information Technologies in Education (15) Informatics courses 3 Summer
Faculty of Education Studies in Mathematics (1) Mathematics courses 3 Summer
Faculty of Education Chemistry in Education (17) Chemistry courses 3 Summer
Faculty of Education Geography in Education (17) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Physics in Education (14) Physics courses 3 Summer
Faculty of Education Geography in Education (13) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Chemistry in Education (15) Chemistry courses 3 Summer
Faculty of Education Biology in Education (14) Biology courses 3 Summer
Faculty of Education Studies in Mathematics (15) Mathematics courses 3 Summer
Faculty of Education Physical Education in Education (1) Physical education and sport 3 Summer
Faculty of Education Studies in Mathematics (17) Mathematics courses 3 Summer
Faculty of Education Chemistry in Education (16) Chemistry courses 3 Summer
Faculty of Education Physics in Education (17) Physics courses 3 Summer
Faculty of Education - (17) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Biology in Education (16) Biology courses 3 Summer
Faculty of Education Physics in Education (16) Physics courses 3 Summer
Faculty of Education Information Technologies in Education (16) Informatics courses 3 Summer
Faculty of Education Chemistry in Education (14) Chemistry courses 3 Summer
Faculty of Education Information Technologies in Education (14) Informatics courses 3 Summer
Faculty of Education Geography in Education (15) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Chemistry in Education (13) Chemistry courses 3 Summer
Faculty of Education Biology in Education (13) Biology courses 3 Summer
Faculty of Education Studies in Mathematics (14) Mathematics courses 3 Summer
Faculty of Education Geography in Education (1) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Studies in Mathematics (13) Mathematics courses 3 Summer
Faculty of Education Studies in Mathematics (16) Mathematics courses 3 Summer
Faculty of Education Physical Education in Education (17) Physical education and sport 3 Summer
Faculty of Education - (16) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Information Technologies in Education (13) Informatics courses 3 Summer
Faculty of Education Information Technologies in Education (17) Informatics courses 3 Summer
Faculty of Education Geography in Education (16) Pedagogy, teacher training and social care 3 Summer
Faculty of Education Physics in Education (15) Physics courses 3 Summer
Faculty of Education Physics in Education (13) Physics courses 3 Summer
Faculty of Education Biology in Education (17) Biology courses 3 Summer