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Course detail

Mathematical Seminar

Course unit code: FSI-S3M
Academic year: 2016/2017
Type of course unit: optional (voluntary)
Level of course unit: Master's (2nd cycle)
Year of study: 2
Semester: summer
Number of ECTS credits:
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
The knowledge of mathematics gained within the bachelor's study programme.
Not applicable.
Recommended optional programme components:
Not applicable.
Course contents (annotation):
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.
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:
Work placements:
Not applicable.
Course curriculum:
Not applicable.
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: 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

The study programmes with the given course