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Lecturer(s)
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Šulista Marek, PhDr. Ph.D.
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Course content
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1. Functions, motivation for calculus using maximisation problems and investigations of changes 2. Derivative, basic derivation rules, sum and product rules 3. Chain rule, extremes of functions 4. Second derivate, shape of function and applications 5. Integral (indefinite integral, polynomials, basic functions) 6. Integral (definite integral, area) 7. Progressions, characteristics, operations, examples (arithmetic, geometric) 8. Limits of progressions and basic operations 9. Limits of partial sums and limits of functions 10. Vectors (arithmetic, norm, angle, dot and cross product) 11. Matrices, basic operations, inverse matrix, multiplication of matrices 12. Systems of linear equations, matrix interpretation, Gauss-Jordan elimination method 13. Mathematical software
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Preparation for credit
- 46 hours per semester
- Preparation for exam
- 50 hours per semester
- Class attendance
- 42 hours per semester
- Preparation for classes
- 30 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, sequences and infinite series. Applications in economics are emphasised. The course is presented in English.
The student will understand the basic concepts of linear algebra, the theory of functions, sequences and infinite series. He/she will use the basic algorithms of linear algebra, work with elementary functions, evaluate the limits of sequences and the convergence of infinite series. The students will fulfill all their duties in English.
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Prerequisites
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The course has no prerequisities.
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Assessment methods and criteria
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Combined exam, Test
- active participation in all seminars (100%) - completion of all pieces of homework in LMS Moodle - 6 credit tests during the semester (2 open questions, time allocated is 10 minutes), to score at least 70% on average considering 3 best scores - to pass a combined examination - written part (at least 50%), 4 open questions, time allocated is 60 minutes and following oral part (at least 50%)
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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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Nýdl V. a kol. Mathematický seminář pro ekonomy - Mathematical Seminar for Economists. EF JU, 2008. ISBN 9788073941291.
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Nýdl. V. et al. Matematický seminář pro ekonomy - Mathematical Seminar for Economists. České Budějovice, 2008.
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