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Lecturer(s)
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Tkadlec Emil, prof. MVDr. CSc.
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Müllerová Eva, Mgr.
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Course content
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Understanding and describing change is a common theme in the natural sciences. Calculus was developed as a powerful tool to investigate it. Functions arise here, as a central concept describing a changing quantity. The course concentrates on the following subjects and concepts: Introduction to the Mathematical Language and Symbols. Real-valued Functions. Limit and Continuity of Functions. Differential Calculus (Derivative, Differential) and its Applications in Ecology - Marginal Value Theorem, Net Reproductive Rate of Semelparous. Organism. Integral Calculus (Primitive Function, Riemann Integral) and Ordinary Differential Equations. Population Dynamics and its Mathematical Essentials - Exponential and Logistic Growth Model.
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Learning activities and teaching methods
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Lecture
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Learning outcomes
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The goal of the course is to suplement or refresh in student sof ecology their knowledge of calculus to facilitate their understanding of ecological theory.
Knowledge Grasp the core ideas behind the calculus
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Prerequisites
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unspecified
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Assessment methods and criteria
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Mark, Oral exam
Apprehension of given mathematical concepts and its application in ecology.
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Recommended literature
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Bartsch, H.-J. (1983). Matematické vzorce. Praha: SNTL.
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Gillman L, McDowell RH. (1973). Calculus.. New York: W.W. Norton & Copany.
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J.Brabec, F.Martan, Z.Rozenský. (1989). Matematická analýza I.. SNTL, Praha.
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Jordan DW, Smith P. (1994). Mathematical techniques.. Oxford: Oxford University Press.
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V. Jarník. (1984). Integrální počet (I), (II).. Academia, Praha.
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V. Novák. (1987). Diferenciální počet v R.. Masarykova univerzita.
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V. Novák. (1982). Integrální počet v R.. Masarykova univerzita.
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www stránky. Další materiály na http:\\www.zem.webzdarma.cz.
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