Course detail
Selected Chapters from Mathematics
FSI-0KM Acad. year: 2025/2026 Winter semester
Solving eguations and inequations, equations and inequations with 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
Supervisor
Department
Entry knowledge
Students are expected to have basic knowledge of secondary school mathematics.
Rules for evaluation and completion of the course
The course is classified with an ungraded assessment.
The basic education unit is a lecture. The participation at lectures is recommended.
Aims
The aim of the course is to repeat and extend knowledge of the secondary school mathematics.
Students will receive the basic knowledge of the secondary school mathematics, which is listed above.
The study programmes with the given course
Programme B-FIN-P: Physical Engineering and Nanotechnology, Bachelor's, elective
Programme B-KSI-P: Mechanical Engineering Design, Bachelor's, elective
Programme B-PDS-P: Industrial Design, Bachelor's, elective
Programme B-MET-P: Mechatronics, Bachelor's, elective
Programme B-ENE-P: Energy, Bachelor's, elective
Programme B-PRP-P: Professional Pilot, Bachelor's, elective
Programme B-MAI-P: Mathematical Engineering, Bachelor's, elective
Programme B-STR-P: Engineering, Bachelor's
specialization AIŘ: Applied Computer Science and Control, elective
Programme B-STR-P: Engineering, Bachelor's
specialization KSB: Quality, Reliability and Safety, elective
Programme B-ZSI-P: Fundamentals of Mechanical Engineering, Bachelor's
specialization MTI: Materials Engineering, elective
Programme B-STR-P: Engineering, Bachelor's
specialization SSZ: Machine and Equipment Construction, elective
Programme B-STR-P: Engineering, Bachelor's
specialization STG: Manufacturing Technology, elective
Programme B-ZSI-P: Fundamentals of Mechanical Engineering, Bachelor's
specialization STI: Fundamentals of Mechanical Engineering, elective
Type of course unit
Lecture
26 hours, compulsory
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.