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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
To get the students acquainted with fundaments of the theory of sequences and series, to teach them investigate convergence in concrete cases. To emphasize the relation of pointwise and uniform convergence. To teach the students to work with power series. |
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Fischer, E.: Intermediate Real Analysis, Springer Verlag, New York-Heidelberg-Berlin 1984 Ross, K.A.: Elementary Analysis: The Theory of Calculus, Springer Verlag, New York-Heidelberg-Berlin 1980 |
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Lecture and seminar |
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Seminar:
Exam:
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Sequences (review): definition, properties; limit of a sequence. Series: sum of a series. Series with nonnegative terms, criteria of convergence. Alternating series, Leibniz criterion. Absolute and nonabsolute convergence. Sequences and series of functions. Pointwise and uniform convergence. Associative and commutative law for infinite series. Interchanging operations. Power series. Taylor and Maclaurin series for elementary functions. |