Module name (EN): Mathematics 3 |
Degree programme: Applied Informatics, Bachelor, ASPO 01.10.2017 |
Module code: PIB-MA3 |
SAP-Submodule-No.: P221-0003 |
Hours per semester week / Teaching method: 3V+1U (4 hours per week) |
ECTS credits: 5 |
Semester: 3 |
Mandatory course: yes |
Language of instruction: German |
Assessment: [still undocumented] |
Applicability / Curricular relevance: PIB-MA3 (P221-0003) Applied Informatics, Bachelor, ASPO 01.10.2017, semester 3, mandatory course |
Workload: 60 class hours (= 45 clock hours) over a 15-week period. The total student study time is 150 hours (equivalent to 5 ECTS credits). There are therefore 105 hours available for class preparation and follow-up work and exam preparation. |
Recommended prerequisites (modules): PIB-MA1 Mathematics 1 PIB-MA2 Mathematics 2 [updated 13.11.2017] |
Recommended as prerequisite for: |
Module coordinator: Prof. Dr. Peter Birkner |
Lecturer: Dipl.-Ing. Dirk Ammon Dipl.-Math. Wolfgang Braun [updated 13.11.2016] |
Learning outcomes: After successfully completing this module, students will be able to explain the reasons for the inaccuracies that often arise when calculating with computers and know basic methods for estimating these inaccuracies. - Students will know basic iteration techniques for solving application problems using computers. - They will be able to process and solve elementary combinatorial and probabilistic tasks with the help of an introduction to probability calculus. - Students will develop the ability to analyze real or planned systems by abstracting practical discrete mathematics tasks from the field of IT into mathematical structures. - Students will be able to use elementary methods of number theory in cryptographic applications and coding. [updated 24.02.2018] |
Module content: Numerical mathematics Representation of numbers in computers, errors, rounding errors, error propagation Bisection method Iterative methods, Banach fixed-point theorem, a priori estimates Newton´s method Probability calculus The concept of "probability" Conditional probability and independent events Urn experiments Random variables and distribution functions Expected value and variance Discrete distribution, Poisson distribution, normal (or Gaussian) distribution Discrete Mathematics Primitive recursive functions and µ recursive functions Elementary number theory Finite fields Principles of cryptography Principles of the coding theory [updated 24.02.2018] |
Teaching methods/Media: Lecture and use of a computer algebra system. Every two weeks an exercise sheet will be distributed and then discussed in small groups the following week. [updated 24.02.2018] |
Recommended or required reading: - P. Hartmann, Mathematik für Informatiker (Vieweg); can be downloaded via OPAC as a PDF. - M. Brill, Mathematik für Informatiker (Hanser). [updated 24.02.2018] |
Module offered in: WS 2022/23, WS 2021/22, WS 2020/21, WS 2019/20, WS 2018/19 |
[Sat Oct 1 01:29:27 CEST 2022, CKEY=pm3, BKEY=pi2, CID=PIB-MA3, LANGUAGE=en, DATE=01.10.2022]