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Lecturer(s)
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Calábek Pavel, RNDr. Ph.D.
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Course content
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Part A: 1. Integrals over a curve, their properties, calculations and applications, Green's formula. 2. Differential equations of the 1st order, existence and uniqueness of solutions, solving of choice types of differential equations. 3. Linear differential equations of the n-th order, existence and uniqueness of solutions, properties of solutions, equations and systems with constant coefficients. 4. Functions of complex variable, sequences of complex numbers, power series. Elementary functions on complex field. 5. Mathematical analysis at the secondary school.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Demonstration
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Learning outcomes
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Summary of topics of mathematical analysis.
1. Knowledge Describe basic methods of mathematical analysis
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Prerequisites
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unspecified
KAG/KMAI and KAG/KMAII
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Assessment methods and criteria
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Oral exam, Didactic Test
Credit: made homework. Exam: pass written test and the student has to understand the subject and prove principal results.
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Recommended literature
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Braun M. (1983). Differential equations and their applications. Springer-Verlag New York.
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Fichtengolc G. M. (1962). Kurs diferencialnogo i integralnogo isčislenija. GIFML Moskva.
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Gillman L., MCDOWELL R. H. (1973). Calculus. W. W. Norton & Company Inc. New York.
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J. Brabec, F. Martan, Z. Rozenský. (1989). Matematická analýza I, II. SNTL, Praha.
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Trávníček S. (2006). Matematická analýza I a III (učební text na internetu). KAG PřF UP Olomouc.
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