Course Advanced Mathematics

Course

Meets requirements of following modules(MID)

• in active programs
  • Ma ET2012 HIM
  • Ma CSN2012 HIM
  • Ma TIN2012 HIM
  • Ma ET2007 HIM

Course Organization

Instruction language

• English

Study Level

• Graduate

Prerequisites

• Real functions of one or more variables
• Differential and integral calculus
• Linear algebra (linear equation systems, matrix calculus)
• Basic skills in procedural programming

Textbooks, Recommended Reading

• Papula: Mathematik für Ingenieure und Naturwissenschaftler, Band 3 (Vieweg)
• Koop, Moock: Lineare Optimierung (Spektrumverlag)
• Zimmermann: Operations Research (Vieweg)

Instructors

• Prof.Dr. Schellong

Supporting Scientific Staff

Transcipt Entry

Assessment

Course components

Lecture/Exercise

Objectives

Contents

• mathematical models of theoretical electrical engineering
  • scalar and vector fields
  • differential operators
  • line integral
  • surface integral
  • integral theorems
  • mathematical models for electrical dynamics
• Technische Systeme optimieren
  • mathematical optimization models
    • general optimization model
    • classification
    • optimization procedures
  • linear optimization model
    • description
    • graphical solution
    • normal form
    • basis solution
  • simplex procedure
    • simplex tableau
    • basis change
    • primal simplex procedure
  • theory of duality
    • dual simplex tableau
    • dual simplex procedure
  • transport problems
    • description
    • optimal solution
  • simulation tools

Acquired Skills

• mathematical models
  • mathematical description of applied problems
    • optimization
    • physics
  • application of mathematical models
    • electrical dynamics
    • optimal scheduling of power plants
• optimization procedures
  • selection of appropriate algoritms
  • construction of algorithms
  • implementation of algorithms
  • numerical simulation
  • evaluation of the results

Additional Component Assessment