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InstitutE fOR APPLIED MathematiCS

Module Handbook

Basics of applied Mathematics

Overview
  • Module code: IAM-SN-02
  • Effort: 24 x 45 Minutes
  • Turnus: yearly at winter semester
  • Participation: opened for all enrolled participants
  • Module Coordinator: Head of the Institute for applied mathematics
Aims of Qualification
  • Proficiency in basic mathematical proof techniques and logic.
  • Proficiency in working with algebraic structures and analytical tools.
  • Ability to abstract complex problems into mathematical models.
  • Development of subject-specific problem-solving skills for applied scenarios.
Contents
  • Mathematical Logic & Set Theory: Propositional Logic, Predicate Logic, Set Operations.

  • Für eine Modulbeschreibung:

  • Number Systems: Natural, Integer, Rational, Real, and Complex Numbers; Algebraic Properties.

  • Analysis: Sequences, Series, Limits, and Continuity of Functions.
  • Linear Algebra: Vectors, Matrix Operations, and Systems of Linear Equations.
  • Methodology: Introduction to Mathematical Modeling.
  • Object-Oriented Programming and Problem-Oriented Applications of Artificial Intelligence
Forms of Lectures and Exercises
  • Online lectures covering the theoretical foundations.
  • Interactive exercises.
  • Online provieded lecture and exercise materials
Prerequisites for attending

There are no formal prerequisites for this module. A general interest in logical structures and a willingness to engage intensively with abstract concepts are recommended.

Test Performance
Workload
Application of the knowledge acquired to practical projects.
  • 24x45Minutes

Literature (Selection)

  • Furlan, P. (1995): Das Gelbe Rechenbuch 1: für Ingenieure, Naturwissenschaftler und Mathematiker: Lineare Algebra und Differentialrechnung. 
  • Rießinger, T. (2017): Lineare Algebra und Differentialrechnung, Eine anschauliche Einführung für das praxisorientierte Studium. Springer-Verlag.
  • Fischer H. & Kaul H. (2018): Mathematik für Physiker Band 1. Springer-Verlag.

Modular Continuing Education

This module is offered as part of a voluntary continuing education programme in academia. It is intended for apprentices, working professionals, master craftsman students, and interested university students, as well as secondary school students who wish to deepen their knowledge and skills in applied mathematics at university level.

The curriculum is designed to develop practical approaches to solving complex problems while avoiding unnecessary formal constraints and excessive bureaucracy.

Status of Module Offer:
Participation takes place within the framework of continuing academic education. As the institute is not a state-recognised higher education institution, the course content is not subject to official recognition under the German Framework Act for Higher Education (Hochschulrahmengesetz, HRG). No ECTS credits are awarded.

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