t.BA.XXM4.AN2.19HS (Analysis 2)
Module: Analysis 2
This information was generated on: 30 November 2023
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

( ) 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%

#### 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

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.