PdF:FC6801 Basics of Advanced Mathematics - Course Information

FC6801 Basics of Advanced Mathematics

Extent and Intensity

1/1/0. 3 credit(s). Type of Completion: k (colloquium).

Teacher(s)

doc. RNDr. Petr Sládek, CSc. (lecturer)
PhDr. Mgr. Michaela Drexler (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

FC6801/Kombi01: Sat 8. 10. 10:00–11:50 učebna 3, Sat 15. 10. 17:00–18:50 učebna 3, Sat 5. 11. 13:00–14:50 učebna 3, Sat 26. 11. 18:00–19:50 učebna 3, P. Sládek
FC6801/Prez01: Wed 17:00–17:50 učebna 3, Thu 17:00–17:50 učebna 3, except Wed 26. 10., except Thu 27. 10., P. Sládek

Course Enrolment Limitations

The course is only offered to the students of the study fields the course is directly associated with.

fields of study / plans the course is directly associated with

• DPS Teacher of Specialized Subjects at Secondary Schools (programme PdF, C-CV)
• Teacher Training of Specialized Subjects for Secondary Schools (programme PdF, N-SS) (4)
• Teacher Training of Specialized Subjects for Secondary Schools – Specialisation in Services (programme PdF, N-SS)
• Teacher Training of Specialized Subjects for Secondary Schools – Specialisation Mechanical Engineering (programme PdF, N-SS)
• Teacher Training of Specialized Subjects for Secondary Schools – Specialisation Commerce and Services (programme PdF, N-SS)

Course objectives

The aim of this course is to obtain a clear knowledge bases of higher mathematics. Emphasis is placed on the logical construction of the science disciplines and to acquire knowledge and skills needed to understand subjects of the study program.

Learning outcomes

After completing the course, students should know and be able to:
- Basic definitions and sentences of the fundamentals of higher mathematics.
- Calculate simple application examples

Syllabus

• 1. Functions of one variable. Graphs, basic properties of functions, some elementary functions. 2. Linear functions, absolute value. 3. The functions, quadratic, power, fractional linear, exponential, logarithmic 4. Trigonometric functions. 5. The term limits and continuity. 6. Derivation of function, differential function. 7. Concept of primitive functions, indefinite integral. 8. Calculation of indefinite integrals. 9. Determine integral and its calculation. 10. Functions of several variables, differential and integral calculus of several variables. 11. Application of differential calculus. 12. Application of integral calculus.

Literature

• JIRÁSEK, F., KRIEGELSTEIN, E., TICHÝ, Z.: Sbírka řešených příkladů z matematiky. SNTL, Alfa, Praha 1987.
• KALAS, Josef and Jaromír KUBEN. Integrální počet funkcí více proměnných. 1. vyd. Brno: Masarykova univerzita, 2009, vi, 272. ISBN 9788021049758. info
• NOVÁK, Vítězslav. Integrální počet funkcí jedné reálné proměnné. Vyd. 1. Brno: Masarykova univerzita v Brně, 2005, 93 s. ISBN 8021038500. info
• NOVÁK, Vítězslav. Diferenciální počet funkcí jedné reálné proměnné. 1. vyd. Brno: Masarykova univerzita v Brně, 2004, 158 s. ISBN 802103386X. info

Teaching methods

lecture

Assessment methods

Credit test - written and oral.

Language of instruction

Czech

Further comments (probably available only in Czech)

The course is taught annually.
Information on the extent and intensity of the course: 8 hodin.

Teacher's information

http://amper.ped.muni.cz/sladek

• Enrolment Statistics (Autumn 2022, recent)
  
• Permalink: https://is.muni.cz/course/ped/autumn2022/FC6801