BE_PH_MST Mathematics and Statistics

NEWTON University
summer 2024
Extent and Intensity
2/2. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Dipl.-Ing. Juan Pablo Maldonado, Ph.D. (lecturer)
Dipl.-Ing. Juan Pablo Maldonado, Ph.D. (seminar tutor)
Dipl.-Ing. Juan Pablo Maldonado, Ph.D. (alternate examiner)
Guaranteed by
doc. RNDr. Miroslav Kureš, Ph.D.
Centre for International Programmes – NEWTON University
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The course aims to introduce students to the principles of mathematical methods and the possibilities of their application in practice. The topics reflect the requirements of related specialized courses taking into account the informative nature of these. The course continuously links with various applications, with an emphasis on the economic ones. The course will provide students with a modern approach to mathematical methods for practice. It presents the university mathematics introductory course´s classic topics and emphasizes the logical continuity and demonstration of mathematical thinking. In terms of applicability, the course focuses on optimization and statistics. The course provides a quality idea of the potential of these disciplines and serves as their theoretical basis.  
Syllabus
  • Course main topics:
  • A) Introduction to differential calculus
  • 1) Mapping, basic concepts (the domain of definition, the domain of values, injective, surjective, composite, and inverse mapping). The function of a single variable. Basic properties of functions and operations with functions, inverse functions, an overview of elementary functions.
  • 2) Limits and function continuity, calculation of function limit, properties of continuous functions.
  • 3) Derivatives, its geometric meaning, tangent equation, calculation of derivatives, compound function derivatives.
  • 4) Relationship between function derivative and its course (monotonicity, local extrema, convexity and concavity, inflection points).
  • B) Introduction to integral calculus
  • 5) Anti-derivative and indefinite integral, methods of integration (per partes, substitution method).
  • 6) Riemann (definite) integral and its calculation.
  • 7) Geometric applications of a definite integral.
Assessment methods
Ungraded credit (on campus): participation in seminars min. 80%, preparation of credit seminar work, credit written test; (online): credit written test
Language of instruction
English
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