UFMM012 Mathematics I

Faculty of Philosophy and Science in Opava
Winter 2018
Extent and Intensity
2/3/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Ing. Petr Habrman, CSc. (lecturer)
RNDr. Martin Blaschke, Ph.D. (seminar tutor)
Guaranteed by
doc. Ing. Petr Habrman, CSc.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Students will learn the basic principles and methods of mathematical analysis to the extent required for the study of applied physics. Emphasis is placed on developing computational skills, problem solving and practical application. The electronic support materials are presented in IS.
Syllabus
  • Real numbers. Sets.
    Sequence of real numbers. Properties of limits.
    Function of one real variable.
    Elementary function.
    Limit of a function.
    Continuity of a function.
    Derivative of a function.
    Approximation of differentiable functions by polynomials.
    Applications of the derivative.
    Antiderivative of a function. Indefinite integral. Substitution rule. Integration by parts.
    Riemann integral and some of its properties.
    Applications of integrals.
Literature
    required literature
  • KOTRLOVÁ A. Matematika I. Elektronická sbírka příkladů. SU Opava, 2010. info
  • NAGY J., NAVRÁTIL O. Matematická analýza. ČVUT Praha, 2007. ISBN 978-80-01-03725-6. info
    recommended literature
  • MOŠOVÁ V. Matematická analýza I. UP Olomouc, 2002. ISBN 80-244-0464-8. info
Teaching methods
Interactive lecture
Lecture supplemented with a discussion
Assessment methods
The analysis of student 's performance
Credit
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Course credit
- attendance in seminars is mandatory
- two written intrasemester tests and solved credit problems in the extent of the content of seminars (success rate 70 %)
Exam
- written test (solving problems) and oral.
The course is also listed under the following terms Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2019, Winter 2020, Winter 2021, Winter 2022.
  • Enrolment Statistics (Winter 2018, recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2018/UFMM012