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Course detail

Selected Chapters from Mathematics

Course unit code: FSI-0KM-A
Academic year: 2016/2017
Type of course unit: recommended
Level of course unit: Bachelor's (1st cycle)
Year of study: 1
Semester: winter
Number of ECTS credits:
Learning outcomes of the course unit:
Students will receive the basic knowledge of the secondary school mathematics, which is listed above.
Mode of delivery:
Not applicable.
Students are expected to have basic knowledge of secondary school mathematics.
Not applicable.
Recommended optional programme components:
Not applicable.
Course contents (annotation):
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.
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:
Work placements:
Not applicable.
Course curriculum:
Not applicable.
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: prof. RNDr. Miroslav Doupovec, CSc., dr. h. c.
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.

The study programmes with the given course