EventoWeb
Zürcher Hochschule für Angewandte Wissenschaften
[
German (Switzerland)
German (Switzerland)
] [
English
English
]
Not registered
[home]
[Login]
[Print]
Navigation
Kontakt zu Service Desk
Online-Dokumentation
Allgemeiner Zugriff
Module suchen
t.BA.MIM.MA2.23HS (Mathematics 2)
Module: Mathematics 2
This information was generated on: 17 April 2024
No.
t.BA.MIM.MA2.23HS
Title
Mathematics 2
Organised by
T IAMP
Credits
4
Description
Version: 2.0 start 01 February 2024
Short description
Advanced topics in linear algebra and analysis are covered. Topics are system of linear equations, linear mappings, matrices, real functions, sequences and series, differentiation and integration.
Module coordinator
Karl Reiner Lermer (lrka)
Learning objectives (competencies)
Objectives
Competences
Taxonomy levels
You acquire the mathematical tools needed in engineering subjects. You familiarise yourself with the mathematical way of thinking. You train your ability to think abstractly.
F,M
K2,K3
You can
- recognize general vector spaces
- apply the subspace criterion to identify vector spaces and affine subspaces.
- define the terms linearly independent and linearly dependent and explain them using examples.
- determine whether a set of vectors is a generating set or a basis.
- explain the terms basis and dimension using examples.
- determine bases of vector spaces.
- determine the dimension of vector spaces.
- set up and interpret parameter representations and coordinate equations of lines and planes.
F,M
K2,K3
You can
- recognize linear systems of equations.
- determine the solution sets of linear systems of equations.
- determine the rank of a given matrix.
- use suitable criteria (e.g. the rank criterion and the extended coefficient matrix) to assess how many solutions a system of linear equations has.
- calculate with matrices (sum, product, transpose)
You can interpret matrices as linear mappings.
You can use the Gauss-Jordan method to
- solve matrix equations
- calculate inverses of matrices.
You can set up normal equations and calculate regression lines from them.
F,M
K2,K3
You can
- write down sequences and series in enumerative, explicit and recursive notation.
- use suitable convergence criteria to assess whether an infinite sequence/series converges or diverges.
- apply the limit value rules to calculate limit values.
F,M
K2,K3
You will be able to define and explain the continuity concept for real functions.
You know the definitions and the characterizing properties of the
- polynomial functions
- trigonometric functions (sine, cosine, tangent) and their inverse functions, the arcus functions
- exponential and logarithmic functions.
You can apply the limit value rules to functions to determine limit values and pole positions.
You can invert linear functions and determine their zeros.
You can convert quadratic function equations into vertex form and determine vertices and zeros.
F,M
K2,K3
You can apply the sum, product, quotient and chain rules to calculate the derivatives of
- polynomials
- trigonometric functions
- exponential and logarithmic functions
- functions composed of these.
You can apply the rule of the derivative of the inverse function to determine the derivative of arcus functions.
You can determine stationary points, extrema and inflection points.
You can set up the linearization of differentiable functions at any point.
F,M
K2,K3
You can calculate the antiderivatives of
- polynomials
- trigonometric functions
- exponential and logarithmic functions
- and the functions composed of these.
You can calculate definite integrals and simple bounded areas.
F,M
K2,K3
You can apply the above stated skills to solve more complex tasks.
F,M
K3
Module contents
Teaching materials
lecturer dependent
Supplementary literature
Gerald
Teschl
. Susanne
Teschl
.
Mathematik
für
Informatiker
. Band 1: Diskrete
Mathematik
und Lineare Algebra. 4. Aufl., Springer-Vieweg.
Gramlich, Günter M. (2014):
Lineare Algebra. Eine Einführung.
4. Aufl. München: Carl Hanser Verlag.
Papula, Lothar (2017):
Mathematische Formelsammlung. Für Ingenieure und Naturwissenschaftler
. 12. Aufl. Wiesbaden: Springer Vieweg.
Prerequisites
Mathematik der Berufsmaturität
Teaching language
(X) German ( ) English
Part of International Profile
( ) Yes (X) No
Module structure
(Is filled in by the administration)
For more details please click on this link:
T_CL_Modulauspraegungen_SM2025
Exams
Description
Type
Form
Scope
Grade
Weighting
Graded assignments during teaching semester
Regular assessment (e.g. online tests)
written
Grade
10%
End-of-semester exam
Exam
written
Grade
90%
Remarks
Legal basis
The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.
Note
Additional available versions:
1.0 start 01 February 2023
Course: Mathematik 2 - Praktikum
No.
t.BA.MIM.MA2.23HS.P
Title
Mathematik 2 - Praktikum
Note
No module description is available in the system for the cut-off date of 02 August 2099.
Course: Mathematik 2 - Vorlesung
No.
t.BA.MIM.MA2.23HS.V
Title
Mathematik 2 - Vorlesung
Note
No module description is available in the system for the cut-off date of 02 August 2099.