Introduction to Numerical Analysis

Module MA1302

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA1302 is a semester module in German language at Bachelor’s level which is offered in summer semester.

This module description is valid to SS 2013.

Total workloadContact hoursCredits (ECTS)
120 h 60 h 4 CP

Content, Learning Outcome and Preconditions

Content

Matrixfaktorisierungen (LR, Cholesky, QR) mit Anwendungen (lineare Gleichungssysteme und Ausgleichsprobleme), Elemente der Rundungsfehleranalyse (Bsp.: numerische Differentiation), Interpolation (Lagrange baryzentrisch, kubische Splineinterpolation), Nichtlineare Gleichungssysteme (Newton-Iteration) - Schnelle Fouriertransformation

Learning Outcome

Nach der Teilnahme an den Modulveranstaltungen ist der Studierende in der Lage, Basisalgorithmen der numerischen Mathematik und algorithmische Denkweisen zu verstehen. Er beherrscht Grundtechniken zur Beurteilung von Effizienz und Genauigkeit numerischer Algorithmen sowie zu ihrer Realisierung am Computer (z.B. in MATLAB).

Preconditions

MA1001 Analysis 1, MA1101 Lineare Algebra 1

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

Vorlesung, Übung, Übungsaufgaben zum Selbststudium

Media

Tafelarbeit

Literature

Quarteroni/Sacco/Saleri: Numerische Mathematik, Springer 2002. Deuflhard/Hohmann: Numerische Mathematik 1, de Gruyter 2002.

Module Exam

Description of exams and course work

Klausur

Exam Repetition

There is a possibility to take the exam at the end of the semester.

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