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Abstract
Introduction to the mathematical theory of knots. We will discuss some elementary topics in knot theory and we will repeatedly centre on how this knowledge can be used in secondary school.
Objective
The aim of this lecture course is to give an introduction to knot theory. In the course we will discuss the definition of a knot and what is meant by equivalence. The focus of the course will be on knot invariants. We will consider various knot invariants amongst which we will also find the so called knot polynomials. In doing so we will again and again show how this knowledge can be transferred down to secondary school.
Content
Definition of a knot and of equivalent knots. Definition of a knot invariant and some elementary examples. Various operations on knots. Knot polynomials (Jones, ev. Alexander.....)
Resources
Literature
An extensive bibliography will be handed out in the course.
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- English
- Levels
- BSC , DZ , SHE , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise |
Introduction to Knot Theory
Does not take place this semester.
This course only takes place sporadically, for instance last time in the Spring Semester 2019.
|
No time listed | 3 h weekly |
Offered In
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Mathematics TC (Detailed information on the programme at: )
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Mathematics Teaching Diploma (Detailed information on the programme at: )
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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