Course: Mathematics for Combined Studies

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Course title Mathematics for Combined Studies
Course code UMB/010K
Organizational form of instruction Lesson + Seminary
Level of course unspecified
Year of study 1
Frequency of the course In each academic year, in winter and summer semester.
Semester Winter and summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Eisner Jan, Mgr. Dr.
Course content
Content of lectures: 1. Functions, graphs, Inverse Functions, Trig Functions, Exponential Function, Logarithm Function 2. Limits, continuity, asymptotes 3. Derivatives (Product and Quotient Rule, Derivatives of Trig Functions, Derivatives of Exponential and Logarithm Functions, Trig Functions, Higher Order Derivatives) 4. Local extrem, convexity. 5. Elements of linear algebra (Matrix, Determinant, Systems of linear equations.) Content of practicals: Calculation of limits, derivatives and integrals. Various applications.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Demonstration
  • Preparation for classes - 28 hours per semester
  • Preparation for exam - 28 hours per semester
  • Class attendance - 12 hours per semester
Learning outcomes
To develop basic concepts of calculus and linear algebra.
Students will learn a differential calculus of one real variable, to find extremal points of such functions, and to draw their graphs. They will learn how to operate with vectors and matrices and such knowledge they will apply to solve systems of linear eautions.
Prerequisites
unspecified

Assessment methods and criteria
Written examination

To pass through the final writting exam.
Recommended literature
  • C. Neuhauser: Calculus for Biology and Medicine, Prentice Hall, 2003.
  • I. Dostálková: Matematika 0, BF JU, Č. Budějovice,1992.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester