Course detail

Selected Chapters from Mathematics

FSI-0KMAcad. year: 2018/2019

Solving eguations and inequalities, equations and inequalities with the absolute value, analytic geometry, conic sections, goniometry, elementary functions and graphs, exponential and logarithmic functions and equations, goniometric functions and equations, graphs of functions, linear algebra, systems of linear equations.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

prof. RNDr. Miroslav Doupovec, CSc., dr. h. c.

Department

Institute of Mathematics (ÚM)

Learning outcomes of the course unit

Students will receive the basic knowledge of the secondary school mathematics, which is listed above.

Prerequisites

Students are expected to have basic knowledge of secondary school mathematics.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline.

Assesment methods and criteria linked to learning outcomes

The course is completed by a course-unit credit.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to repeat and complete the knowledge of the secondary school mathematics.

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

The basic education unit is a lecture. The participation at lectures is recommended.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Eliáš J., Horváth J., Kajan J. : Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)
Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL, 1988)

Recommended reading

Děmidovič B. P.: Sbírka úloh a cvičení z matematické analýzy
Eliáš J., Horváth J., Kajan J. : Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)
Kříž, J., Křížová, H.: Matematika- vybrané statě k zahájení studia na strojní fakultě (skriptum VUT)

Classification of course in study plans

  • Programme B3A-P Bachelor's

    branch B-MTI , 1 year of study, winter semester, elective (voluntary)
    branch B-MET , 1 year of study, winter semester, elective (voluntary)
    branch B-MAI , 1 year of study, winter semester, elective (voluntary)
    branch B-FIN , 1 year of study, winter semester, elective (voluntary)
    branch B-PDS , 1 year of study, winter semester, elective (voluntary)

  • Programme B3S-P Bachelor's

    branch B-S1R , 1 year of study, winter semester, elective (voluntary)
    branch B-STI , 1 year of study, winter semester, elective (voluntary)

Type of course unit

 

Lecture

26 hod., compulsory

Teacher / Lecturer

doc. Mgr. Petr Vašík, Ph.D.
Mgr. Jan Pavlík, Ph.D.

Syllabus

Week 1: Quadratic equations, solving inequalities.
Week 2: Equations and inequalities with the absolute value.
Week 3: Goniometry, goniometric equations.
Week 4: Powers, exponencial equations.
Week 5: Logarithms, logarithmic equations.
Week 6: Conical sections.
Week 7: Analytic geometry.
Week 8: Systems of linear equations.
Week 9: Irrational equations and inequalities.
Week 10: Elemantary functions and graphs.
Week 11: Derivative of a function.
Week 12: Limits.
Week 13: The shape of a graph.