Course detail
Mathematics 2
FP-Mma2KAcad. year: 2017/2018
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.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
-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.
Course curriculum
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
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Mezník,I.: Matematika II. 1.vydání. FP VUT v Akademickém nakladatelství CERM, s.r.o., Brno 2004. 126s. ISBN 80-214-2806-3 (CS)
Recommended reading
Ivan,J: Matematika 2. I.vydání, Alfa, Bratislava 1989. 520s. ISBN 80-105-0098-3 (CS)
Jacques,I.: Mathematics for economics and business. Second edition. Addison-Wesley, Wokingham 1994. 485s. ISBN 0-201-42769-9 (EN)
Karásek,J.: Matematika II. 1.vydání. PC-DIR , Brno 1995. 262s. ISBN 8O-214-0105 - X (CS)
Wisniewski,M.: Introductory mathematical methods in economics. First edition. McGraw-Hill, London 1991. 257s. ISBN 0-07-707407-6 (EN)
Classification of course in study plans
- Programme BAK-MIn-KS Bachelor's
branch BAK-MIn-KS , 1 year of study, summer semester, compulsory
Type of course unit
Guided consultation in combined form of studies
Teacher / Lecturer
Syllabus