Course­ Manual AM

Applied Mathematics


PDF Course Catalog Deutsche Version: AM

Version: 2 | Last Change: 12.02.2021 13:24 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben

Long name Applied Mathematics
Approving CModule AM_BaET
Responsible
Prof. Dr. Beate Rhein
Professor Fakultät IME
Valid from winter semester 2021/22
Level Bachelor
Semester in the year winter semester
Duration Semester
Hours in self-study 96
ECTS 5
Professors
Prof. Dr. Beate Rhein
Professor Fakultät IME
Requirements Apply basic mathematical knowledge, especially functions and differential calculus
Be able to apply methods of linear algebra
Apply basic concepts of programming
Language German
Separate final exam Yes
Literature
Knorrenschild: Numerische Mathematik (Fachbuchverlag)
Papula: Mathematik für Ingenieure und Naturwissenschaftler, Band 1+2 (Vieweg)
Final exam
Details The theoretical basics and the associated calculation methods are tested in a written exam. The programming skills required to implement an algorithm are tested in a programming test.
Minimum standard Both parts of the examination must be passed with at least 4.0. The written exam and the programming test are included proportionally in the module grade. The weighting is currently 70% for the written exam and 30% for the programming test.
Exam Type EN andere summarische Prüfungsform

Learning goals
Goal type Description
Knowledge Computer arithmetic
Error calculation, condition of a matrix
Gaussian algorithm with column pivoting
Interpolation
Root finding algorithms (bisection, Newton, variants of Newton, fixed point iteration)
Iteration methods for systems of linear equations
Regression analysis
Probability theory
Skills be able to estimate the propagation of measurement errors
be able to apply and code numerical algorithms
be able to set up trend functions
be able to handle probabilities
Expenditure classroom teaching
Type Attendance (h/Wk.)
Lecture 2
Exercises (whole course) 1
Exercises (shared course) 0
Tutorial (voluntary) 0
Special requirements
none
Accompanying material Lecture slides online
Exercises online
Teaching videos online
Instructions for programming online
Separate exam No

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