Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-84-13-M-7

Traveling Waves (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-84-13-M-7 Traveling Waves 4.5 CP (135 h)

Basedata

CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U MAT-84-13-K-7
Traveling Waves
P 42 h 93 h - - PL1 4.5 irreg.
  • About [MAT-84-13-K-7]: Title: "Traveling Waves"; Presence-Time: 42 h; Self-Study: 93 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86450 ("Travelling Waves")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

  • introductory examples of traveling waves for different types of differential equations,
  • existence and stability of traveling waves in reaction-diffusion equations,
  • migratory waves in ODE systems explained by means of examples of biological models,
  • pattern formation of traveling waves in systems of reaction-diffusion equations based on examples.

Competencies / intended learning achievements

Upon successful completion of this module, the students have gained insight into some characteristics of traveling waves and deepened their knowledge by looking at concrete applications. By completing exercises, the students have developed a skilled, precise and independent handling of the terms, propositions and techniques taught in the lecture. They are also familiarized with some interdisciplinary questions.

Literature

  • P.C. Fife: Mathematical Aspects of Reacting and Diffusing Systems,
  • A.I. Volpert, V.A. Volpert, V.A. Volpert: Traveling Wave Solutions of Parabolic Systems.

Requirements for attendance (informal)

Additional knowledge from the course [MAT-12-23-K-3] is useful but not necessarily required.

Modules:

Courses

Requirements for attendance (formal)

None

References to Module / Module Number [MAT-84-13-M-7]

Module-Pool Name
[MAT-81-MPOOL-7] Specialisation Partial Differential Equations (M.Sc.)
[MAT-8x-MPOOL-7] Specialisation Modelling and Scientific Computing (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)