Course: Mathematics 1

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Course title Mathematics 1
Course code KMA/MC1
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 2
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)
  • Ludvík Pavel, RNDr. Ph.D.
  • Tomeček Jan, doc. RNDr. Ph.D.
  • Bebčáková Iveta, Mgr. Ph.D.
Course content
A. Mathematical prerequisites: 1. On natural science, mathematics, logic and numbers. 2. What you should know from the high school. 3. Elements of probability. B. Linear algebra: 1. Mappings, linear mappings, matrices and systems of linear equations. C. Elements of mathematical analysis: 1. The notion of a function, operations with functions. 2. Continuity and limits. 3. Differentiation. 4. Integration and differential equations.

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 26 hours per semester
  • Preparation for the Exam - 35 hours per semester
Learning outcomes
Understand the basic mathematical language for the description of Nature
Comprehension Understand the basics of mathematical analysis, linear algebra and statistical analysis.
Prerequisites
Elementary school mathematics.

Assessment methods and criteria
Written exam, Dialog

active attendance, passing the test
Recommended literature
  • J. Kopáček. (2005). Matematická analýza pro fyziky I. Matfyzpress, Praha.
  • J. Veselý. (2001). Matematická analýza pro učitele I. Matfyzpress.
  • K. Rektorys. (1963). Přehled užité matematiky. SNTL Praha.
  • Kovalt V. (2003). Základy matematiky pro biologické obory. Karolinum Praha.
  • Rudin, W. (1964). Principles of Mathematical Analysis. McGraw-Hill.


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): Chemistry for Education (2024) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Chemistry (2022) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter