Course detail

Mathematical Seminar

FSI-S3MAcad. year: 2020/2021

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

Learning outcomes of the course unit

Having broader knowledge of mathematics, students will realize relationships and facts concerning basic mathematics.

Prerequisites

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

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

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

Planned learning activities and teaching methods

The course is taught through exercises which are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

There is no exam. Students will be awarded a course-unit credit on condition of having attended the seminars and passed the final test.

Language of instruction

Czech

Work placements

Not applicable.

Aims

The aim of the course is to revise basic mathematical knowledge necessary for the state exam.

Specification of controlled education, way of implementation and compensation for absences

The attendance will be checked but, as the subject is not compulsory, compensation for possible absence will not be required.

Classification of course in study plans

  • Programme M2A-P Master's

    branch M-MAI , 2. year of study, summer semester, 2 credits, elective

Type of course unit

 

Exercise

26 hours, compulsory

Teacher / Lecturer

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