UFMM014 Mathematics III

Faculty of Philosophy and Science in Opava
Winter 2022
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Martin Kološ, Ph.D. (lecturer)
RNDr. Martin Kološ, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Martin Kološ, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites (in Czech)
Nutné je předem absolvovat předmět Matematika I, vhodné potom předmět Matematika II.
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
The aim of the course is to introduce fundamentals of theory of polynomials, series and basic differential equations. The lectures are focused on mathematical calculations, solving problems and practical applications. Introduced definitions and theorems act as basic tools for students to understand the subject matter without an intention to understand deep theoretical context and details. First three topics will fix and increase knowledge of some more complex topics of high-school mathematics concerning solving of algebraic equations. Next topics follow the problems introduced in the course - Mathematics I and finish the necessary mathematical training for the courses in physics of the study.
Syllabus
  • * complex numbers
    * polynomials
    * algebraic equations
    * series in mathematics
    * power series
    * Fourier series
    * introduction to ordinary differential equations
Literature
    recommended literature
  • M. Klíč A. Matematika I ve strukturovaném studiu. info
  • E. Calda. Matematika pro gymnázia - Komplexní čísla. info
  • J. Polák. Přehled středoškolské matematiky. info
  • K. Rektorys a spol. Přehled užité matematiky I, II. info
  • J. Polák. Středoškolská matematika v úlohách I, II. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
* 6 points from written test (maximum is 12)
The course is also listed under the following terms Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2022/UFMM014