C1473 Selected chapters in applied mathematics

Faculty of Science
Autumn 2024
Extent and Intensity
1/0/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Tomáš Raček, Ph.D. (lecturer)
RNDr. Ondřej Schindler, Ph.D. (lecturer)
doc. RNDr. Radka Svobodová, Ph.D. (lecturer)
Guaranteed by
RNDr. Tomáš Raček, Ph.D.
National Centre for Biomolecular Research – Faculty of Science
Supplier department: National Centre for Biomolecular Research – Faculty of Science
Prerequisites (in Czech)
C1471 Applied mathematics for biochemists
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 20 student(s).
Current registration and enrolment status: enrolled: 0/20, only registered: 0/20, only registered with preference (fields directly associated with the programme): 0/20
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to extend the basic mathematical knowledge from M1035 and C1471 and to show selected problems and specifics of their solution in practice using a computer.
Learning outcomes
At the end of this course, students will be able to apply the selected methods on real examples using a computer (Python, data libraries, data visualization).
Syllabus
  • 1. Problems with the representation of real numbers in a computer.
  • 2. Dimensionality reduction and visualization of n-dimensional data.
  • 3. Cluster analysis and its applications.
  • 4. Optimization and parameterization of methods.
  • 5. Practical solution of systems of linear equations (deficiencies of Gaussian elimination, LU decomposition).
Literature
    recommended literature
  • VANDERPLAS, Jacob T. Python data science handbook : essential tools for working with data. First edition. Tokyo: O'Reilly, 2017, xvi, 529. ISBN 9781491912058. info
Teaching methods
Lecture accompanied by a computer demonstration of the concepts discussed.
Assessment methods
Active participation. Final test.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: in blocks.
  • Permalink: https://is.muni.cz/course/sci/autumn2024/C1473