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.
Department
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
Czech
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.
Classification of course in study plans
- Programme B3A-P Bachelor's
branch B-PDS , 1. year of study, winter semester, 0 credits, optional (voluntary)
branch B-MTI , 1. year of study, winter semester, 0 credits, optional (voluntary)
branch B-MAI , 1. year of study, winter semester, 0 credits, optional (voluntary)
branch B-MET , 1. year of study, winter semester, 0 credits, optional (voluntary)
branch B-FIN , 1. year of study, winter semester, 0 credits, optional (voluntary) - Programme B3S-P Bachelor's
branch B-S1R , 1. year of study, winter semester, 0 credits, optional (voluntary)
branch B-STI , 1. year of study, winter semester, 0 credits, optional (voluntary)
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.