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Mathematische Aufgaben Und Lösungen Automatisch Generieren

Mathematische Aufgaben Und Lösungen Automatisch Generieren


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About the Book

Die Lehre und das Lernen der Hochschulmathematik kosten viel Zeit. Lässt sich der Aufwand reduzieren, ohne die Qualität der Lehre zu beeinträchtigen?

Mit einem klaren "Ja" beantwortet das vorliegende Buch diese Frage und stellt hierfür einen vom Autorenteam entwickelten und erprobten Lösungsansatz vor: die Open Source Software MATeX. Durch eine programmiertechnische Kopplung eines Computeralgebrasystems mit einem Textverarbeitungsprogramm ist MATeX in der Lage, in Sekunden mathematische Übungsaufgaben zu lösen und die Lösungswege in LaTeX und PDF auszugeben. So können über eine intuitive webbasierte Schnittstelle vom Benutzer individuell gestaltete oder zufällig generierte Aufgabentypen zu über 30 Themen der Höheren Mathematik gestellt, gelöst und die Lösungen zur Verfügung gestellt werden.

Inhaltlich spannt sich der Bogen von elementaren Grundlagen über die Analysis einer Veränderlichen, die lineare Algebra, Wahrscheinlichkeitsrechnung, die Analysis mehrerer Veränderlicher bis hin zu fortgeschrittenen Themen der Analysis, wie z. B. die Fourier-Reihe, die Laplace-Transformation und Optimierungsprobleme mit Nebenbedingungen.

Informationen zum programmiertechnischen und konzeptionellen Hintergrund sowie Vorschläge für einen wirkungsvollen Einsatz der Software in der Lehre runden das Buch ab.

Herausragende Merkmale sind:

  • Dank der ca. 130 klickbaren QR-Codes stellt dieses Werk als PDF aber auch in gedruckter Form selbst eine Schnittstelle zur mathematischen Software MATeX dar.

  • Insgesamt ca. 300 Links auf die MATeX-Webschnittstelle erleichtern den Einstieg und das Bedienen der Software.

  • Über 140 Beispielaufgaben spiegeln das breite Leistungsspektrum der Software.

  • Aufträge zum Erstellen von zufälligen Aufgaben können direkt aus dem Buch via klickbaren QR-Codes erteilt werden.

Mit diesem Buch und der Software MATeX lassen sich Aufgaben und Lösungen in PDF-Form um zwei Größenordnungen schneller erzeugen.

About the Author: Andreas Helfrich-Schkarbanenko, Prof. Dr., Fakultät Grundlagen, Mathematisches Institut, Hochschule Esslingen

Kevin Rapedius, Dr., MINT-Kolleg am Karlsruher Institut für Technologie, Karlsruhe

Vita Rutka, Dr., MINT-Kolleg am Karlsruher Institut für Technologie, Karlsruhe

Aron Sommer, Dipl. Math.-techn., Institut für Informationsverarbeitung, Leibniz Universität Hannover


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Product Details
  • ISBN-13: 9783662577776
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Height: 240 mm
  • No of Pages: 397
  • Spine Width: 0 mm
  • Weight: 750 gr
  • ISBN-10: 3662577771
  • Publisher Date: 24 Sep 2018
  • Binding: Mixed media product
  • Language: German
  • Returnable: Y
  • Sub Title: Effizientes Lehren Und Lernen Mit MATLAB
  • Width: 168 mm


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