Course detail

Selected Chapters from Mathematics

FSI-0KM-ARecommendedBachelor's (1st cycle)Acad. year: 2016/2017Winter semester1. year of study2  credits

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.

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.

Recommended optional programme components

Not applicable.

Recommended or required reading

Kříž, J., Křížová, H.: Matematika- vybrané statě k zahájení studia na strojní fakultě (skriptum VUT)
Děmidovič B. P.: Sbírka úloh a cvičení z matematické analýzy
Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL, 1988)
Eliáš J., Horváth J., Kajan J. : Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)
Eliáš J., Horváth J., Kajan J. : Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)

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.

Language of instruction

English

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.

Type of course unit

 

Lecture

26 hours, compulsory

Teacher / Lecturer

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.