FP-MA2_MAcad. year: 2019/2020
This course follows Mathematics I course. Content is linear algebra, differential calculus of several variables, differential and difference equations (mainly linear) and instruments for their only solution - power series and Fourier series and selected integral transformation.
Learning outcomes of the course unit
Acquired knowledge and practical mathematical skills will be an important starting point for mastering new knowledge in the follow-up courses of mathematical character; they will also be essential for acquiring knowledge in courses on economy and for the correct use of mathematical software.
Knowledge of secondary-school mathematics and successful completion of the course “Mathematics I”.
Recommended optional programme components
Recommended or required reading
Mezník,I.: Matematika II.FP VUT v Brně, Brno 2009 (CS)
Mezník, I: Diskrétní matematika. FP VUT v Brně v Akademickém nakladatelství CERM, s.r.o. Brno, Brno 2004. ISBN 80-214-2754-X. (CS) (CS)
MEZNÍK, I. Základy matematiky pro ekonomii a management. Základy matematiky pro ekonomii a management. 2017. s. 5-443. ISBN: 978-80-214-5522-1. (CS)
Planned learning activities and teaching methods
Instructing is divided into lectures and exercises. Lectures are focused on the theory referring to applications, exercises on practical calculations and solving of application tasks.
Assesment methods and criteria linked to learning outcomes
Conditions for awarding course-unit credits:
-active participation in the seminars where the attendance is compulsory,
-fulfilment of individual tasks and successful completion of written assignments,
-working out of a semester project marked with at least “E”,
-completion of partial written exams marked more than 50% points
The exam has a written and an oral part with the written part being more important. The written part takes two hours.
The written part is marked in points and reflects the points achieved in individual tasks. If the student does not achieve at least 50% points out of all or if any other condition is not satisfied, the written part of the exam and the whole exam will be graded as “F” (failed) and the student cannot proceed to the oral part.
The written exam is followed by an oral exam which does not take more than 10 minutes. Its main objective is to make the classification more accurate. In the oral exam, the student is informed about the results achieved in the individual tasks of the written exam. Possible discrepancies in the written part can be solved in the oral exam. If appropriate, additional questions can be placed, and the student is given time to prepare.
Language of instruction
3. Systems of linear equations
4. Differential equations of the first order
5. Linear Differential Equations 2nd order
6. The method of power series
7. Laplace transformation
8. Difference equations and Z-transformation
9. Functions of several variables, basic concepts
10. Extremes and constrained extremes
11. Fourier series
12. Fourier transformation
The aim of the course is to build up mathematical tools necessary for the instruction of specialized courses.
Specification of controlled education, way of implementation and compensation for absences
Attendance at lectures is not controlled. Attendance at exercises (seminars) is compulsory and is regularly checked. A student is obliged to give reasons for his/her absence. If the teacher accepts the reason for the absence (which is completely under his/her competence), he/she will decide about the form of the compensation for the missed lessons.