Course detail

Mathematics 2

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.

Prerequisites

Knowledge of secondary-school mathematics and successful completion of the course “Mathematics I”.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

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

Czech

Work placements

Not applicable.

Course curriculum

1. Matrix
2. Determinants
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

Aims

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.

Classification of course in study plans

  • Programme BAK-MIn Bachelor's

    branch BAK-MIn , 1. year of study, summer semester, 6 credits, compulsory

Type of course unit

 

Lecture

26 hours, compulsory

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer

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