t.BA.XXM4.AN1.19HS (Analysis 1)
Module: Analysis 1
This information was generated on: 18 May 2024
No.
t.BA.XXM4.AN1.19HS
Title
Analysis 1
Organised by
T IAMP
Credits
4

Description

Version: 2.0 start 01 August 2022

Short description

Introduction to calculus.

Module coordinator

Robbiani Marcello (roma)

Learning objectives (competencies)

 Objectives Competences Taxonomy levels You know the concepts "derivative" and "antiderivative" and their role in cinematics. You are in particular able to derivate polynomiale functions. F, M K2, K3 You know the basic concepts of calculus as sets and numbers, applications and functions, sequences and series, limit processes and limits and are able to apply this concepts in an efficient way. You are in particular able to calculate elementary limits. F, M K2, K3 You know the fundamental concepts of differential calculus. Your are in particular able to calculate the derivative of an elementary function. F, M K2, K3 You know elementary applications of differential calculus (e.g. Newton's tangent method). You are in particular able to analyse the graph of a rational function. F, M K2, K3

Module contents

Introduction to calculus
• the concepts of derivation and integration
• applications of derivation and integration in physics
Elements of Calculus
• sets and numbers
• applications and functions
• sequences and series
• limit processes and limits
Introduction to differential calculus
• derivations of first and higher order
• elementary derivation rules
• elementary applications of differential calculus
• elementary analysis of graphs
The fundamental properties of elementary functions as exp(x), log(x), sin(x) are refreshed ad hoc during the semester based on BM-mathematics.

Teaching materials

script, 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

Type 3a

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 1 - Praktikum
No.
t.BA.XXM4.AN1.19HS.P
Title
Analysis 1 - Praktikum

Note

• No module description is available in the system for the cut-off date of 01 August 2099.
Course: Analysis 1 - Vorlesung
No.
t.BA.XXM4.AN1.19HS.V
Title
Analysis 1 - Vorlesung

Note

• No module description is available in the system for the cut-off date of 01 August 2099.