EMMA0111c Mathematics - practice

Faculty of Medicine
autumn 2023
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Jakub Záthurecký, Ph.D. (lecturer)
doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Tue 15:00–17:30 M4,01024
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The subject presents a part of theoretical fundamentals of the study. It provides fundamental understanding and skills useful for quantitative reasoning of life science.
Learning outcomes
At the end of this course, students should be able to:
Understand basic concepts and theories of linear algebra, combinatorics and probability theory, fundamentals of univariate differential and integral calculi;
Solve simple problems arising in the mentioned areas of mathematics.
Syllabus
  • Set theory, sets of numbers.
  • Functions, their properties and operations with them.
  • Characteristics of elementary functions.
  • Combinatorics.
  • Classical, empirical and geometrical probability, stochastic dependence and independence of random events, conditional probability and Bayes formula.
  • Vectors, linear (in)dependence. Matrices and matrix calculus, rank of a matrix, inverse matrix.
  • Determinants, evaluation, the Sarrus vrule.
  • Szstems of linear equations, Frobenius theorem, Gauss elimination method.
  • Differential univariate calculus: basic concepts, limits and continuity of functions.
  • Integral univariate calculus.
Literature
  • Lenka Přibylová, Matematika I. a II., Multimediální elektronický výukový materiál. Publikováno na Elportále, ISSN 1802-128X.
Teaching methods
Class exercises in solving problems after introductory explanation.
Assessment methods
Final written test, minimum 5 points out of 10. The student can also get max 5 points during one semester at seminars. In the case of an unfavorable epidemiological situation, the form of testing may change.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on the extent and intensity of the course: 45.
The course is also listed under the following terms autumn 2020, autumn 2021, autumn 2022, autumn 2024.
  • Enrolment Statistics (autumn 2023, recent)
  • Permalink: https://is.muni.cz/course/med/autumn2023/EMMA0111c