Mathematical Seminar (FSI-S3M)

Academic year 2018/2019
Supervisor: prof. RNDr. Josef Šlapal, CSc.  
Supervising institute: ÚM all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:
The aim of the course is to revise basic mathematical knowledge necessary for the state exam.
Learning outcomes and competences:
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.
Course contents:
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.
Teaching methods and criteria:
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.
Controlled participation in lessons:
The attendance will be checked but, as the subject is not compulsory, compensation for possible absence will not be required.
Type of course unit:
    Exercise  13 × 3 hrs. compulsory                  
Course curriculum:
    Exercise 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
Literature - recommended:
1. K.Rektorys a kol.: Přehled užité matematiky, SNTL, Praha, 1988
2. S.Salas, E.Hille, G.Etgen: Calculus (9th edition), John Willey & Sons, Hoboken, 2002
3. K.D. Joshi: Foundations of Discrete Mathematics, John Willey & Sons, New York, 1989
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
M2A-P full-time study M-MAI Mathematical Engineering -- Cr 0 Elective (voluntary) 2 2 S