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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)

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Here is the podcast description for Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640):

(Empfohlene) Voraussetzungen:

Besuch der Vorlesung Mathematik für Ingenieure I

Inhalt:

Differentialrechnung einer Veränderlichen Ableitung mit Rechenregeln, Mittelwertsätze, L’Hospital, Taylor-Formel, Kurvendiskussion Integralrechnung einer Veränderlichen Riemann-Integral, Hauptsatz der Infinitesimalrechnung, Mittelwertsätze, Partialbruchzerlegung, uneigentliche Integration Folgen und Reihen reelle und komplexe Zahlenfolgen, Konvergenzbegriff und - sätze, Folgen und Reihen von Funktionen, gleichmäßige Konvergenz, Potenzreihen, iterative Lösung nichtlinearer Gleichungen Grundlagen Analysis mehrerer Veränderlicher Grenzwert, Stetigkeit, Differentiation, partielle Ableitungen, totale Ableitung, allgemeine Taylor-Formel, Extremwertaufgaben, Extremwertaufgaben mit Nebenbedingungen, Theorem über implizite Funktionen Gewöhnliche Differentialgleichungen Explizite Lösungsmethoden, Existenz- und Eindeutungssätze, Lineare Differentialgleichungen, Systeme von Differentialgleichungen, Eigen- und Hauptwertaufgaben, Fundamentalsysteme, Stabilität

Lernziele und Kompetenzen:

Die Studierenden

analysieren Funktionen einer reellen Veränderlichen mit ilfe der Differentialrechnungberechnen Integrale von Funktionen mit einer reellen Veränderlichenstellen technisch-naturwissenschaftliche Problemstellungen mit mathematischen Modellen dar und lösen dieseverstehen den Konvergenzbegriff bei Folgen und Reihenberechen Grenzwerte und rechnen mit diesenanalysieren und klassifizieren Funktionen mehrerer reeller Veränderlicher an Hand grundlegender Eigenschaftenwenden grundlegende Beweistechniken in o.g. Bereichen anklassifizieren gewöhnliche Differentialgleichungen nach Typenwenden elementare Lösungsmethoden auf Anfangswertprobleme bei gewöhnlichen Differentialgleichungen anwenden allgemeine Existenz- und Eindeutigkeitsresultate anerschließen den Zusammenhang zwischen Analysis und linearer Algebrawenden die erlernten mathematischen Methoden auf die Ingenieurswissenschaften an

Literatur:

v. Finckenstein et.al: Arbeitsbuch Mathematik fuer Ingenieure: Band I Analysis und Lineare Algebra. Teubner-Verlag 2006, ISBN 9783835100343 A. Hoffmann, B. Marx, W. Vogt, Mathematik für Ingenieure 1, 2, Pearson H. Heuser, Gewöhnliche Differentialgleichungen, Teubner

How many episodes of Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) exist?

As of Jun 16th, 2024, Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) has published 1 episodes.

When was the latest episode of Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640)?

The latest episode of Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) was published on Sep 25th, 2014

When did Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) launch?

Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) launched its first episode on Sep 25th, 2014.

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The content of Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) is not explicit.

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) is created by FAU.

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Mathematik fuer Ingenieure A2 : CE, EEI, BP-E, MT (IngMathA2) (SD 640) belongs to the following podcast categories:

Education

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