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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 - Limits and continuity of functions 2 - First derivative, differential 3 - Techniques of differentialisation 4 - Applications of the first derivative 5 - Derivatives of higher orders and their applications 6 - Indefinite integrals, integration techniques 7 - Integration methods 8 - Definite integral and its applications 9 - Simple differential equations 10 - Multi-variate functions 11 - Partial derivatives, the differential 12 - Local extremes of multivariate functions 13 - Constrained and absolute extremes of functions of 2 variables with applications
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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Learning outcomes
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It is the second part of the course of Engineering Mathematics. It is targeted at the fundamentals of the differential and integral calculus of one real variable and the differential calculus of multi-variate functions.
The student will understand basic concepts of the differential and integral calculus. He/she will perform basic techniques of differentiation and integration and their applications. He/she will solve optimisation problems and master the mathematical software MAPLE V.
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Prerequisites
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MATEA
KMI/MATEA
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Assessment methods and criteria
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Combined exam, Test
- active participation in all seminars (100%) - completion of all tasks in Moodle (the total score at least 80%) including a special task with the use of the Maple software - to pass two credit tests (in each test minimum score 8 points), 15 close questions, time allocated is 80 minutes, students have two attempts - 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%), students have to prove the knowledge of all covered topics
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Recommended literature
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Budnick, Frank S. Applied mathematics for business, economics, and the social sciences. 4. ed. New York : McGraw-Hill, 1993. ISBN 0-07-112580-9.
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NÝDL et all. Matematika I. - Mathematics I. Cvičení - Seminar. České Budějovice, 2007. ISBN 978-80-7394-129-1.
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Nýdl, V. a kol. MAtematika II - Mathematics II. (Cvičení - Seminars). 2007.
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NÝDL, V., KLUFOVÁ, R. Matematika (Část 2 - Matematická analýza). Č. Budějovice: ZF JU, 1998.
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Nýdl, V., Lexová, R. Matematika (Část 1 - matematické struktury). skriptum ZF JU, ČB, 1996.
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Vocetková, K. Matematika II. 2020.
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