t.BA.XXM1.AN1.19HS (Analysis 1)
Module: Analysis 1
This information was generated on: 29 February 2024
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

German

No

Type 3a

#### Exams

 Description Type Form Scope Grade Weighting Graded assignments during teaching semester End-of-semester exam exam written 90 min grade 100%

#### 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.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.