41413 - Mathematics & Physics Modulübersicht

Module Number: 41413 - module is no longer offered from WS 2023/24
Module Title:Mathematics & Physics
  Mathematik & Physik
Department: Faculty 2 - Environment and Natural Sciences
Responsible Staff Member:
  • ,
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: Every winter semester
Credits: 6
Learning Outcome:Understanding of computer based deterministic, dynamic and statistical solution methods for differential equations and statistical datasets including the mathematical foundations of those methods.
Mathematical description of water related physical state and behaviour.
Application and Evaluation of basic numerical methods for water related simulation models. Understanding and application of fluid mechanics for water related problems.
Contents:Fundamentals of tensor algebra and tensor analysis (different coordinate systems, integral theorems of Gauss, Stokes, Green); types and classification of partial differential equations (PDEs); numerical methods (Finite Difference, Finite Volume, Finite Element) for simple PDEs (Poisson equation, heat equation, linear advection, wave equation); Fourier analysis.
 
Physical properties of water, hydrostatics, basic hydrodynamics, flow, friction, energy, flow in channels and pipes, flow in groundwater, rotating and stratified fluids, steady, stationary and instationary states.
Recommended Prerequisites:None
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 4 Hours per Week per Semester
  • Exercise / 4 Hours per Week per Semester
  • Self organised studies / 60 Hours
Teaching Materials and Literature:see https://euroaquae.tu-cottbus.de
Module Examination:Continuous Assessment (MCA)
Assessment Mode for Module Examination:
  • Assignments (20%)
  • Written (120 min) and/or oral (30-45 min) examination (80%)
The form and weighting of partial exams are bindingly determined in the first course weeks.
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • no assignment
Remarks:EuroAquae module: EA-1.1
Module Components:
  • 131120 Lecture Mathematics for water sciences 
  • 131121 Exercise Mathematics for water sciences 
  • 240113 Lecture/Exercise Fluid mechanics 
Components to be offered in the Current Semester:
  • no assignment