BE_PH_STA Mathematics and Statistics 2

NEWTON University
summer 2023
Extent and Intensity
1/1. 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.
  • C) Introduction to descriptive statistics
  • 8) Introduction to descriptive statistics, basic statistical concepts.
  • 9)-10) Elementary methods of data processing.
  • 11) Combinatorics.
  • 12) Introduction to regression and correlation calculus.
Assessment methods
Ungraded credit (on campus): participation in seminars min. 80%, preparation of credit seminar work, credit written test; (online): credit written test Examination (on campus): final written test with the possibility of obtaining a bonus for quality of work during the seminars (quality of the credit seminar paper, result of the credit test) (online): final written test with the possibility of obtaining a bonus depending on the result of the credit written test 
Language of instruction
English
The course is also listed under the following terms summer 2021, winter 2022, winter 2023.
  • Enrolment Statistics (summer 2023, recent)
  • Permalink: https://is.newton.cz/course/nu/summer2023/BE_PH_STA