Course detail

Selected Chapters from Mathematics

FSI-0KM Acad. year: 2022/2023 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

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 classified with an ungraded assessment.

Aims

The aim of the course is to repeat and extend 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 B-MET-P: Mechatronics, Bachelor's, elective

Programme B-FIN-P: Physical Engineering and Nanotechnology, Bachelor's, elective

Programme B-PRP-P: Professional Pilot, Bachelor's, elective

Programme B-PDS-P: Industrial Design, Bachelor's, elective

Programme B-MAI-P: Mathematical Engineering, Bachelor's, elective

Programme B-ZSI-P: Fundamentals of Mechanical Engineering, Bachelor's
specialization MTI: Materials Engineering, elective

Programme B-ZSI-P: Fundamentals of Mechanical Engineering, Bachelor's
specialization STI: Fundamentals of Mechanical Engineering, elective

Programme B-STR-P: Engineering, Bachelor's
specialization STR: Engineering, elective

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.