Course detail

Mathematical Seminar

FSI-S3MOptional (voluntary)Master's (2nd cycle)Acad. year: 2016/2017Summer semester2. year of study2  credits

The seminar helps students to prepare for their state exam. It will revise the knowledge gained in the mathematical courses within the bachelor's study.

Learning outcomes of the course unit

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

Mode of delivery

90 % face-to-face, 10 % distance learning

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

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.

Type of course unit

 

seminars

39 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