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t.BA.XXM1.AN1.19HS (Analysis 1)
Module: Analysis 1
This information was generated on: 20 March 2023
No.
t.BA.XXM1.AN1.19HS
Title
Analysis 1
Organised by
T IAMP
Credits
4
Description
Version: 3.0 start 01 August 2021
Short description
In this course, students learn the basic concepts of calculus of one real variable.
Module coordinator
Zaugg Christoph (zght)
Learning objectives (competencies)
Objectives
Competences
Taxonomy levels
Polynomials:
The students understand the concepts of a drivative and a definite integral. They are able to do a curve sketching and to calculate definite integrals using the fundamental theorem of calculus.
F,M
K2
K3
The students understand the concept of a sequence and calculate values of sequences, which are given explicitly or directly.
They are able to verify monotonicity and boundedness and show convergence using its definition. They calculate limits
using symbolic methods.
F,M
K2, K3
K3
K3
The students know the derivitives of elementary functions. They use the rules of differential calculus, perform curve sketching and solve optimization problems. They find roots using Newtons method.
F,M
K2, K3
K3
K3
Module contents
1. Concepts of Calculus
- Derivative (tangent, curve sketching)
- antiderivative and area content, fundamental theorem of calculus
2. Sequences, series (summation sign)
- sequences (direct, recursive, arithmetic, geometric)
- limits (monotonicity, boundedness, rules for limits)
- series (arithmetic, geometric)
3. Extension of differential calculus
Derivative of elementary functions, rules of differential calculus, curve sketching, Newtons method for finding roots
Teaching materials
Notes and exercises distributed by lectures, Moodle
Supplementary literature
Mathematik, Tilo Arens et al., Springer Verlag
Prerequisites
Mathematik der technischen BM
Teaching language
German
Part of International Profile
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
End-of-semester exam
exam
written
90 min
grade
100%
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 2019
Course: Analysis 1 - Praktikum
No.
t.BA.XXM1.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.XXM1.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.