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
Department
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.
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.
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)
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
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
Type of course unit
Exercise
26 hod., 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
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