N5TeAM - Master’s Programme in Applied and Engineering Mathematics

Computational Mechanics

Tracks: Aalto – Chalmers, DTU – NTNU, KTH – NTNU

In this specialisation the students learn to develop, analyse and use computational methods for relevant applications in the natural sciences and engineering.

Computational mechanics is an interdisciplinary topic which applies mathematics and computing to solve real-world challenges. Important components are the formulation of a mathematical model for a given mechanical phenomenon, making useful approximations suitable for computers, efficient implementation of the resulting methods, and presentation and evaluation of the results. Finite difference and finite element methods are commonly used to bridge the mathematical world with computing.

Below, there is a list of courses of each term for both studey tracks. For more details about the content of the courses, check the course catalogues:

Aalto: https://noppa.aalto.fi/noppa/app
Chalmers: https://student.portal.chalmers.se/en/chalmersstudies/programme-information/Pages/SearchProgram.aspx?program_id=1012&parsergrp=1
DTU: http://www.dtu.dk/english/Education/Course-base
KTH: http://www.kth.se/student/kurser/sokkurs?l=en_UK
NTNU: http://www.ntnu.edu/studies/courses

Aalto - Chalmers

First autumn courses 30-35 ECTS (Aalto)

MS-E2139  Nonlinear Programming  (5 cr)
MS-E1651 Numerical Matrix Computations (5 cr)
MS-E1652 Computational Methods for Differential Equations (5 cr)
MS-E1460 Functional Analysis
Other MS-Exxx courses to be agreed with the professor of major

First spring courses 30 ECTS (Aalto)

Kie-98.xxxx English course: Compulsory degree requirement, both oral and written requirements (3 cr)
MS-E1653 Finite Element Method I  (5 cr)
MS-E1600 Probability Theory (5 cr)
MS-E1654 Computational Inverse Problems
Other MS-Exxx courses to be agreed with the professor of major

Second autumn courses 30 ECTS (Chalmers)

Choose four of the following courses:
TMA401 Functional Analysis (7.5 cr)
TMA265 Numerical Linear Algebra (7.5 cr)
TMA632 Partial Differential Equations, project course (7.5 cr)
MVE080 Scientific Visualization  (7.5 cr)
TMA462 Wavelet Analysis (7.5 cr)
KMG060 Systems Biology (7.5 cr)
FFR110 Computational Biology 1 (7.5 cr)
TME225 Mechanics of Fluids  (7.5 cr)
TME235 Mechanics of Solids (7.5 cr)

DTU - NTNU

First autumn courses 30 ECTS (DTU)

02409 Multivariate Statistics E1A (5 cr)
02610 Optimization and Data Fitting E2A  (5 cr)
01617 Dynamical Systems 1 E4A  (5 cr)
01448 Introduction to PDE E5A (5 cr)
01715 Functional Analysis E4B  (5 cr)
02623 The Finite Element Method for PDEs (5 cr)

First spring courses 30 ECTS (DTU)

01410 Cryptology 1 F2A 5 (5 cr)
01618 Dynamical Systems 2 F4A 5 (5 cr)
42490 Technology, Economy, Management and Organization, F5 (10 cr)
01227 Graph Theory F1B (5 cr)
01234 Differential Geometry with Applications F2B (5 cr)

Second autumn courses 30 ECTS (NTNU)

TMA 4500 Written Project (15 cr)

Electives (choose 15 credits)                       
    
TMA4195 Mathematical Modeling (7.5 cr)
TMA4205 Numerical Linear Algebra  (7.5 cr)
TMA4220 Finite Element Methods (7.5 cr)
TMA4225 Analysis (7.5 cr)
TMA4305 Partial Differential Equations (7.5 cr)
TMA4285 Time Series Analysis (7.5 cr)
TMA4295 Statistical Inference  (7.5 cr)
TMA4315 General Linear Models  (7.5 cr)

KTH - NTNU

First autumn courses 33 ECTS (KTH)

SF2561 Finite Element Methods (7.5 cr)
SF2736 Discrete Mathematics (7.5 cr)
DA2205 Philosophy of Science (equivalent) (3 cr)
SF2713 Foundations of Analysis (7,5 cr)
SF2743 Advanced Real Analysis I (7,5 cr)

First spring courses 27 ECTS (KTH)

SF2568 Parallel Computations for Large-Scale Problems (7.5 cr)
SF2950 Applied Mathematical Statistics (7.5 cr)
DA2205 Philosophy of Science (equivalent) (4.5 cr)
SF2744 Advanced Real Analysis II (7,5 cr)

Second autumn courses 30 ECTS (NTNU)

TMA 4500 Written Project (15 cr)

Electives (choose 15 credits)                       
    
TMA4195 Mathematical Modeling (7.5 cr)
TMA4205 Numerical Linear Algebra (7.5 cr)
TMA4220 Finite Element Methods (7.5 cr)
TMA4225 Analysis (7.5 cr)
TMA4305 Partial Differential Equations (7.5 cr)
TMA4285 Time Series Analysis  (7.5 cr)
TMA4295 Statistical Inference (7.5 cr)
TMA4315 General Linear Models (7.5 cr)

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