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t.BA.XXM4.AN2.19HS (Analysis 2)
Module: Analysis 2
This information was generated on: 16 April 2024
No.
t.BA.XXM4.AN2.19HS
Title
Analysis 2
Organised by
T IAMP
Credits
4
Description
Version: 4.0 start 01 August 2022
Short description
Advanced calculus
Module coordinator
Robbiani Marcello (roma)
Learning objectives (competencies)
Objectives
Competences
Taxonomy levels
You know the basical elements of functional thougth and are able to translate it in applications on exponential and logarithmical functions on hyperbolic functions and on area functions, on trigonometric functions and on arcus functions. In particular you know the role of the trigonometric additions theorems for the analysis of oscillations.
F, M
K2, K3
You know the fundamental concepts of differential and integral calculus. In particular you know the central role of the fundamental theorem of calculus.
You are able to calculate derivatives and to apply them among others to the solution of extremal problems.
You are able to use integration methods to calculate definite and indefinite integrals. You are able to apply integrals in geometry, science and technology.
F, M
K2, K3
You know the concept of a differential equation and the corresponding vocabulary. You know the concept of the solution to a differential equation.
F, M
K2, K3
You know the consept of the approximation of functions by Taylor polynomials and are able to estimate the approximation error. You are able to develop analytical functions in Taylor series
F, M
K2, K3
Module contents
Elementary functions
power and root functions, exponential and logarithmic functions
trigonometrix and hyperbolic function and their inverses
elementary theory of oscillations
Differential calculus in one real variable
derivation rules and methods
applications of differential calculus - extremal problems
power series, Taylor polynomials and series
Introduction to differential equations
Integral calculus in one real variable
definite and indefinite integrals
fundamental theorem of calculus
rules and methods of integration, imprper integrals
applications of integral calculus in geometry, science and technology
Teaching materials
scripts, exercises
Supplementary literature
Papula, Lothar: Mathematik für Ingenieure und Naturwissenschaftler
Prerequisites
Mathematics at the level of a technical BM
Teaching language
(X) German ( ) English
Part of International Profile
( ) Yes (X) No
Module structure
Type 3a
For more details please click on this link:
T_CL_Modulauspraegungen_SM2025
Exams
Description
Type
Form
Scope
Grade
Weighting
Graded assignments during teaching semester
at least one assessment
mark
Each
max. 20%
End-of-semester exam
exam
written
90'
mark
Min. 60%
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:
2.0 start 01 August 2019
,
3.0 start 01 February 2022
Course: Analysis 2 - Praktikum
No.
t.BA.XXM4.AN2.19HS.P
Title
Analysis 2 - Praktikum
Note
No module description is available in the system for the cut-off date of 01 August 2099.
Course: Analysis 2 - Vorlesung
No.
t.BA.XXM4.AN2.19HS.V
Title
Analysis 2 - Vorlesung
Note
No module description is available in the system for the cut-off date of 01 August 2099.