Course detail
Selected Chapters from Mathematics
FSI-0KM Acad. year: 2018/2019 Winter semester
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
2
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.
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.
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.
The study programmes with the given course
Programme B3A-P: Applied Sciences in Engineering, Bachelor's
branch B-FIN: Physical Engineering and Nanotechnology, elective (voluntary)
Programme B3A-P: Applied Sciences in Engineering, Bachelor's
branch B-MAI: Mathematical Engineering, elective (voluntary)
Programme B3A-P: Applied Sciences in Engineering, Bachelor's
branch B-MET: Mechatronics, elective (voluntary)
Programme B3A-P: Applied Sciences in Engineering, Bachelor's
branch B-MTI: Materials Engineering, elective (voluntary)
Programme B3A-P: Applied Sciences in Engineering, Bachelor's
branch B-PDS: Industrial Design, elective (voluntary)
Programme B3S-P: Engineering, Bachelor's
branch B-STI: Fundamentals of Mechanical Engineering, elective (voluntary)
Programme B3S-P: Engineering, Bachelor's
branch B-S1R: Engineering, elective (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.