Course detail

Mathematical Seminar

FSI-S3M-AAcad. year: 2024/2025

The seminar helps students to prepare for their state exam. It will revise the knowledge gained in the previously taught mathematical courses.

Language of instruction

English

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

prof. RNDr. Josef Šlapal, CSc.

Department

Institute of Mathematics (ÚM)

Entry knowledge

The knowledge of mathematics gained within the bachelor's study programme.

Rules for evaluation and completion of the course

There is no exam. Students will be awarded a course-unit credit on condition of having attended the seminars and passed the final test.
The attendance will be checked but, as the subject is not compulsory, compensation for possible absence will not be required.

Aims

The aim of the course is to revise basic mathematical knowledge necessary for the state exam.
Having broader knowledge of mathematics, students will realize relationships and facts concerning basic mathematics.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

See the literature given in individual subjects (EN)
Viz literaturu uvedenou u jednotlivých předmětů (CS)

Recommended reading

K.D. Joshi: Foundations of Discrete Mathematics, John Willey & Sons, New York, 1989
K.Rektorys a kol.: Přehled užité matematiky, SNTL, Praha, 1988
S.Salas, E.Hille, G.Etgen: Calculus (9th edition), John Willey & Sons, Hoboken, 2002

Classification of course in study plans

  • Programme N-AIM-A Master's 2 year of study, summer semester, elective
  • Programme N-MAI-A Master's 2 year of study, summer semester, elective

Type of course unit

 

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. RNDr. Josef Šlapal, CSc.

Syllabus

1. Linear algebra
2. Analytic geometry
3. Algebraic structures
4. Differential calculus of the functions of one variable
5. Differential calculus of the functions of several variables
6. Integral calculus of the functions of one variable
7. Integral calculus of the functions of several variables
8. Ordinary differential equations
9. Infinite series
10.Mathematical analysis in the complex plane
11.Functional analysis
12.Numerical methods
13.Probability and statistics