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Lecturer(s)
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Vocetková Klára, Mgr. Ph.D.
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Šulista Marek, PhDr. Ph.D.
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Course content
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1 - Functions and motivation for calculus 2 - First derivative, basics 3 - First derivative and its applications for finding extreme points 4 - Second derivativ and function analysis 5 - Integration, basics 6 - Integration, applications 7 - Sequences, basics 8 - Limits of sequences 9 - Applications of limits on series and functions 10 - Vectors, basics 11 - Matrices 12 - Matrices equations, Gauss elimination method 13 - Software for mathematics
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Preparation for classes
- 30 hours per semester
- Class attendance
- 63 hours per semester
- Preparation for exam
- 40 hours per semester
- Preparation for credit
- 35 hours per semester
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Learning outcomes
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It is the first part of the course of Engineering Mathematics. It is targeted at the fundamentals of linear algebra, the theory of functions, calculus and sequences. Applications in economics are emphasised.
The student will understand the basic concepts of linear algebra, the theory of functions, sequences and calculus. He/she will use the basic algorithms of linear algebra, evaluate the limits of sequences, work with elementary functions and analyze them.
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Prerequisites
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Student has to know high school mathematics very well.
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Assessment methods and criteria
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Combined exam, Test
Active attendance of the first seminar. Completion of all credit tests and passing a credit tests (at least 70%), 6 credit tests during 2 open questions, time allocated is 10 minutes, the final score is average of 3 best attempts. Tests may be assigned as homework or during the seminars. Passing both written (50%) and oral examination parts.
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Recommended literature
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BUDNICK, F. S. Applied Mathematics for Business, Economics and the Social Sciences.
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KLŮFA, J., COUFAL, J. Matematické struktury (Matematika A pro VŠE). Praha: VŠE, 1995.
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Nýdl, Šulista, Baravalle. Matematika I - Mathematics I Cvičení - Seminar. České Budějovice, 2006. ISBN 80-7040-792-1.
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Nýdl. V. et al. Matematický seminář pro ekonomy - Mathematical Seminar for Economists. České Budějovice, 2008.
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Nýdl, V., Lexová, R. Matematika (Část 1 - matematické struktury). skriptum ZF JU, ČB, 1996.
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