Universität Wien

250020 VO Number theory for pre-service teachers (2022S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik
MIXED
Moodle

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Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 07.03. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.03. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.03. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.03. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.04. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.04. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.05. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.05. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.05. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.05. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.05. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.06. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.06. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.06. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The lecture will give an introduction to number theory and its applications. We will cover the following:
The basic notions of divisor, gcd, lcm, prime numbers, congruences and residue class rings, and ensuing primality tests and divisibility rules,
Applications in daily life, such as determining the weekday for a given date (e.g., which day of the week was April 1, 2000?) or properties of check digits (e.g., ISBN which is used for books),
Applications to cryptography, such as the RSA cryptosystem, Diffie–Hellman key exchange, ElGamal encryption or the Shamir secret sharing scheme.
For more information (in German) go to http://www.mat.univie.ac.at/~baxa/ss2022zthla.html

Assessment and permitted materials

One-hour written examination. Answering several questions students have to reproduce definitions, theorems, lemmas, corollaries and proofs presented in the lectures and have to demonstrate their ability to apply the calculation techniques covered. The detailed allocation of points is given on the examination paper. No aids are permitted. (This includes literature and pocket calculators.)

Minimum requirements and assessment criteria

The grade is determined by the percentage of the points achieved by the student.
Let n denote this percentage.
sehr gut [1]: 87,5% <= n <= 100% / gut [2]: 75% <= n < 87,5% / befriedigend [3]: 62,5% <= n < 75% / genügend [4]: 50% <= n < 62,5% / nicht genügend [5]: n < 50%

Examination topics

At the exam students have to demonstrate their command of the definitions, lemmas, theorems, corollaries and proofs presented in the lectures and their ability to apply the calculation techniques covered.

Reading list

J. Buchmann, Einführung in die Kryptographie
P. Bundschuh, Einführung in die Zahlentheorie
G.H. Hardy, E.M. Wright, An Introduction to the Theory of Numbers
N. Oswald, J. Steuding, Elementare Zahlentheorie
W. Sierpinski, Elementary Theory of Numbers

Association in the course directory

UF MAMA02

Last modified: Fr 24.05.2024 00:14