MathMods :: Joint MSc

 

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This is our 2020 curriculum. For the new structure, valid as of the 2021 intake, click here

Semester2 Numerics for 2020 intake

Semester2 Numerics for 2020 intake

Numerics  @  TUW   OR UHH  30 ECTS credits

The second semester will focus on Numerics and will be spent from March to August in one of the following universities:

  1. Vienna University of Technology (TUW)
  2. University of Hamburg (UHH)

Semester 2 is designed with the goal of providing the student with advanced skills in both the design of fast and efficient numerical schemes and their implementation. Both skills are essential in the formation of the modern applied mathematician, and are nowadays considered essential in the implementation of mathematical models arising in modern applications of mathematics such as social sciences, urban sciences, economics.
Both optional branches (Vienna and Hamburg) will offer courses centered on numerical methods for ordinary and partial differential equations as main subject. Optional units covering modern scientific computing, optimization, statistics, computer science, and industrial applications will complete this semester.

The Consortium will address each student to either Vienna or Hamburg depending on the student's background and will provide assistance in the choice of the optional courses in such a way to design the best study plan to approach the chosen Year 2 option. In addition, please note that students who will be assigned to Nice for their Year2 will necessarily spend their Semester2 in Hamburg.

 

Below you can find more information about the two branches.

when  WHEN

what  WHAT

where  WHERE
Semester 2 Numerics  
     •  Numerics - TUW TUW, Austria
     •  Numerics - UHH UHH, Germany

 
  

Semester 2: Numerics @ TUW, Vienna

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TUW smallSemester 2: Numerics @ TUW, Vienna University of Technology

The second semester at TUW provides a stronger background on advanced methods for the implementation of numerical codes (computer programming). Moreover, the student will have the opportunity to acquire basic skills in parallel computing and high performance computing. This semester will also include optional units in Numerical Optimization and Statistics.

 

  • Computer programming [5 credits]

    Computer programming

    • ECTS credits 5
    • University Vienna University of Technology
    • Semester 2
    • Lecturer 1 D. Praetorius
    • Lecturer 2 T. Frühwirth
    • Objectives

       

      This course aims at providing the students with a minimal knowledge of Matlab and C++ needed to tackle the numerical methods courses of this semester. It will be concentrated in the first weeks.
    • Topics

       

      Introduction to Computer Programming: introductory knowledge of Matlab and C++ as needed for the parallel numerical methods courses. MATLAB syntax (command- and object-oriented), graphical representations, toolboxes, selected problems from engineering and statistics.

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  • Numerics of differential equations [15 credits]

    Numerics of differential equations

    • ECTS credits 15
    • University Vienna University of Technology
    • Semester 2
    • Lecturer 1 J.M. Melenk
    • Lecturer 2 L. Nannen
    • Lecturer 3 J. Schöberl
    • Objectives

       

      Knowledge of standard numerical methods for the approximation of solutions of ordinary and partial differential equations (discretization methods). Finite element methods. Discontinuous Galerkin methods. Instationary PDEs.
    • Topics

       

      Initial- and boundary value problems for ordinary and partial differential equations: One-step and multi-step methods, adaptivity. Introduction to numerical methods for partial differential equations of elliptic, parabolic, and hyperbolic type. Variational formulation of PDEs and function spaces. Finite element convergence theory. Discontinuous Galerkin methods for convection dominated problems. Mixed methods and applications in fluid mechanics. Nonlinear equations and applications in solid mechanics. Vectorial function spaces and applications in electromagnetics. Instationary PDEs and time-stepping methods. Analysis of iterative solvers and preconditioners. A posteriori error estimates and adaptivity. Exercises: Apply these methods to solve pde problems; exercises with NGSolve-Python; verify qualitative and quantitative properties.

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  • German language and culture for foreigners (level A1) [4 credits]

    German language and culture for foreigners (level A1)

    • ECTS credits 4
    • University Vienna University of Technology
    • Semester 2
    • Objectives

       

      TBD
    • Topics

       

      TBD

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  • Basics of parallel computing [3 credits]

    Basics of parallel computing

    • ECTS credits 3
    • University Vienna University of Technology
    • Semester 2

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  • Energy-efficient distributed systems [3 credits]

    Energy-efficient distributed systems

    • ECTS credits 3
    • University Vienna University of Technology
    • Semester 2

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  • Iterative solution of large systems of equations [6 credits]

    Iterative solution of large systems of equations

    • ECTS credits 6
    • University Vienna University of Technology
    • Semester 2

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Semester 2: Numerics @ UHH, Hamburg

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uhh smallSemester 2: Numerics @ UHH, University of Hamburg

The second semester in Hamburg is characterized by a stronger "engineering oriented" perspective, in that it provides optional units at the interface of Computer Science and case studies of industrial applications of mathematics.

  • Modelling camp [3 credits]

    Modelling camp

    • ECTS credits 3
    • Code DT0064
    • University University of Hamburg
    • Semester 2
    • Lecturer 1 Ingenuin Gasser
    • Objectives

       

      In this seminar we face the students with real world problems. We discuss the interface between the real world  industrial problems and applied mathematics.
    • Topics

       

      A series of 22 small real world industrial problems where mathematics has been applied successfully.

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  • German language and culture for foreigners (level A1) [3 credits]

    German language and culture for foreigners (level A1)

    • ECTS credits 3
    • Code DT0669
    • University University of Hamburg
    • Semester 2
    • Objectives

       

      - To understand sentences and frequently used expressions related to familiar everyday expressions, university life and its requirements.
      - To describe your place of residence and the city of Hamburg
      - To complete simple forms
      - To impart basic grammar structures and vocabulary
      - To enable to read and understand.
    • Topics

       

      To introduce somebody to somebody,Talking about yourself;Alphabet,Spelling,So called "w-questions",Numbers (1-1 Mio),Time,Days of the week,Pronunciation.Simple role plays.Grammar: word order, construction of German sentences, affirmative sentence, questions, regular verbs → present tense, auxiliary verbs "haben" and "sein", pronouns (Nominativ), negative answer to a question "nicht" and "kein".
    • Prerequisites

       

      Will be announced in lectures.

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  • Machine Learning [6 credits]

    Machine Learning

    • ECTS credits 6
    • Code DT0373
    • University University of Hamburg
    • Semester 2
    • Lecturer 1 Y. Saleh
    • Lecturer 2 Dr. T. M. Wenzel
    • Objectives

       

      ...
    • Topics

       

      ...

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Home Structure for 2020 intake Semester2 Numerics for 2020 intake

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