FC5045 General basics of vocational subjects 1

Faculty of Education
Autumn 2023
Extent and Intensity
2/2/0. 5 credit(s) (plus 1 credit for an exam). Recommended Type of Completion: k (colloquium). Other types of completion: zk (examination).
Taught in person.
Teacher(s)
Mgr. Ivana Medková, Ph.D. (lecturer)
doc. Mgr. Pavel Pecina, Ph.D. (lecturer)
doc. RNDr. Petr Sládek, CSc. (lecturer)
PhDr. Jan Válek, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Petr Sládek, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Jana Jachymiáková
Supplier department: Department of Physics, Chemistry and Vocational Education – Faculty of Education
Timetable of Seminar Groups
FC5045/Kombi01: Sat 7. 10. 8:00–11:50 učebna 3, Sat 14. 10. 14:00–17:50 učebna 3, Sat 4. 11. 16:00–19:50 učebna 3, Sat 16. 12. 14:00–17:50 učebna 3, I. Medková, P. Pecina, J. Válek
FC5045/Prez01: Thu 10:00–11:50 učebna 3, Thu 12:00–13:50 učebna 3, I. Medková, P. Pecina, J. Válek
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 7 fields of study the course is directly associated with, display
Course objectives
The aim of the course is to acquire and deepen the knowledge of the fundamentals of mathematics and physics. This knowledge is necessary for teaching practical lessons at secondary school. At the same time, the acquired knowledge and skills will be applied in the next semesters during the teaching of specialized subjects. Lectures and seminars contain a large number of simple examples with emphasis on the relationship of the subject matter to practice, nature, household, medical, food, technical applications, etc.
Knowledge : Comprehensive overview of the fundamentals of mathematics and physics with an emphasis on the relationship of the subject matter to practice, nature, households, technical applications, etc.
Skills : Basic definitions and theorems of mathematics. Be able to identify physical patterns, especially in technical and medical applications. Perform sufficient analysis and perform subsequent calculations of simple application examples. To know the relation of the subject matter to practical applications. Be able to make a qualified estimate of values. The student carries out his / her own research and inquiry-oriented investigations that help develop cognitive skills.
Attitudes : Acquire the values ​​of objectivity and importance of scientific work.
Learning outcomes
After completing the course, students should know and be able to:
- Identify principles and applications of mathematics in physical processes, medical, food and technical applications.
- Identify Principles of Natural Sciences in Natural History, Health, Food, and Engineering Applications.
- Describe simple experiments and the relationship of the substance to practical applications. application examples.
Syllabus
  • Editing expressions (angled expressions, expressions with powers and roots); Equations and inequalities and their systems (linear, with unknown in denominator, quadratic, irrational).
  • Exponential and logarithmic equations; Trigonometric equations.
  • Functions (basic knowledge of functions, linear functions, functions with absolute values, quadratic, power, linear angle, exponential, logarithmic and trigonometric functions); Sequences and series (arithmetic and geometric sequence, sequence limit and infinite series and its sum).
  • Vectors, vector addition and multiplication, vector scalar product, point and vector coordinates in plane and space; Parametric expression of line and plane, general equation of line and plane, mutual position of lines and planes.
  • The term derivative of a function and its application; Indefinite integral, definite integral and their applications.
  • Mechanics: motion of mass point and solids, fundamentals of dynamics. Physical field. Conservation laws, energy.
  • Electricity and magnetism: electric current in matter, electrical circuits, electromagnetic induction
  • Optics: light properties, optical imaging, optical instruments. Elementary particles, atom composition. Structure and properties of the part.
  • Measurement in physics.
Literature
    required literature
  • POLÁK, Josef. Přehled středoškolské matematiky. 10. vydání. Praha: Prometheus. 659 stran. ISBN 9788071964582. 2015. info
  • SVOBODA, Emanuel. Přehled středoškolské fyziky. 5. přeprac. vyd. Praha: Prometheus. 551 s. ISBN 9788071964384. 2014. info
    recommended literature
  • DELVENTHAL, Katka Maria, Alfred KISSNER and Malte KULICK. Kompendium matematiky : vzorce a pravidla : četné příklady včetně řešení : od základních operací po vyšší matematiku. Translated by Jiří Henzler. Vydání čtvrté. Praha: Knižní klub. 714 stran. ISBN 9788024254203. 2017. info
  • SLÁDEK, Petr and Václav VACEK. Matematika pro fyziky I a II. Elportál. Brno: Masarykova univerzita. ISSN 1802-128X. 2009. URL info
  • DELVENTHAL, Katka Maria, Alfred KISSNER and Malte KULICK. Kompendium matematiky : vzorce a pravidla : četné příklady včetně řešení : od základních operací po vyšší matematiku. Translated by Jiří Henzler. V Praze: Knižní klub. 714 s. ISBN 8024212277. 2004. info
    not specified
  • ODSTRČIL, Jaroslav. Biologie : [pro střední zdravotnické školy]. Vyd. 3., nezměn. V Brně: Institut pro další vzdělávání pracovníků ve zdravotnictví v Brně. 96 s. ISBN 8070132582. 1998. info
Teaching methods
Interpretation, lecture, interview, discussion, theoretical instruction combined with practical examples, work in the laboratory.
Assessment methods
Full-time study mode
The seminar is evaluated from the ongoing tasks. Deadline to submit tasks is always last educational Sunday of the semester.
In the seminar are allowed three absences.
Colloquium: Final written test with a success rate of 60 % with oral exam by curriculum of the subject.

Combined studies mode and Lifelong Learning
Students working on the ongoing tasks. Deadline to submit tasks is always last educational Sunday of the semester.
Colloquium: Final written test with a success rate of 60 % with oral exam by curriculum of the subject.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 16 hodin.
The course is also listed under the following terms Autumn 2021, Autumn 2022.
  • Enrolment Statistics (recent)
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