Selected Chapters from Mathematics (FSI-0KM)

Academic year 2018/2019
Supervisor: prof. RNDr. Miroslav Doupovec, CSc., dr. h. c.  
Supervising institute: ÚM all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:
The aim of the course is to repeat and complete the knowledge of the secondary school mathematics.
Learning outcomes and competences:
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.
Course contents:
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.
Teaching methods and criteria:
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.
Controlled participation in lessons:
The basic education unit is a lecture. The participation at lectures is recommended.
Type of course unit:
    Lecture  13 × 2 hrs. compulsory                  
Course curriculum:
    Lecture 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.
Literature - fundamental:
1. Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL, 1988)
2. Eliáš J., Horváth J., Kajan J. : Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)
Literature - recommended:
1. Kříž, J., Křížová, H.: Matematika- vybrané statě k zahájení studia na strojní fakultě (skriptum VUT)
1. Děmidovič B. P.: Sbírka úloh a cvičení z matematické analýzy
2. Eliáš J., Horváth J., Kajan J. : Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
B3A-P full-time study B-MTI Materials Engineering -- Cr 0 Elective (voluntary) 1 1 W
B3A-P full-time study B-MET Mechatronics -- Cr 0 Elective (voluntary) 1 1 W
B3A-P full-time study B-MAI Mathematical Engineering -- Cr 0 Elective (voluntary) 1 1 W
B3A-P full-time study B-FIN Physical Engineering and Nanotechnology -- Cr 0 Elective (voluntary) 1 1 W
B3A-P full-time study B-PDS Industrial Design -- Cr 0 Elective (voluntary) 1 1 W
B3S-P full-time study B-S1R Engineering -- Cr 0 Elective (voluntary) 1 1 W
B3S-P full-time study B-STI Fundamentals of Mechanical Engineering -- Cr 0 Elective (voluntary) 1 1 W