N5TeAM - Master’s Programme in Applied and Engineering Mathematics

Study Programme for intake 2014

Student mobility:

mobility_03_09_12.png

 

Curriculum:

Aalto
Chalmers

DTU
KTH
NTNU

 

AALTO:

Aalto to Chalmers

First autumn courses

Code

Course

CR

Mat-2.3139

Nonlinear Programming

5

Mat-1.3651

Matrix Computations

5

Mat-13652

Finite Difference Methods P

5

MS-E1994

Mathematical Statistics

5-10

Mat-1.3531

Differential Geometry

5

Mat-5.3750

Hyperbolic Geometry

5

 

TOTAL

30-35

 First spring courses

Code

Course

CR

XX-Methodological studies

To be agreed with the professor of major.

2

Kie-98.xxxx

English course: compulsory degree requirement, both oral and written requirements

3

20-25 of the following

 

 

Mat-1.3460

Principles of Functional Analysis P

5

MS-C1741

Finite Element Method I

5

Mat-1.3601

Introduction to Stochastics P

5

Mat-5.3741

Theory of Elasticity

10

Mat-1.3626

Computational Methods in Inverse Problems P (V)

5

 

TOTAL

25-30

 

Aalto to DTU

First autumn courses

Code

Course

CR

Mat-2.3139

Nonlinear Programming

5

T-79.4502

Cryptography and Data Security

5

Mat-1.3531

Differential Geometry P (V)

5

MS-C1050

Combinatorics

5

Mat-1.3651

Matrix Computations

5

MS-C1110

Number Theory

5

 

TOTAL

30

 

First spring courses

Code

Course

CR

XX-Methodological studies

To be agreed with the professor of major

2

Kie-98.xxxx

English course: compulsory degree requirement, both oral and written requirements  (Period III-IV?)

3

25 cr of the following:

 

 

MS-C1741

Finite Element Methods I

5

Mat-1.3601

Introduction to Stochastics P

5

T-79.5501

Cryptology P

5

Mat-1.3460

Principles of Functional Analysis P

5

MS-C1080

Introduction of Abstract Algebra

5

Mat-5.3750

Algebraic Lattices and Applications

5

Mat-5.3750

Algebraic Statistics

5

 

TOTAL

30

 

Second autumn courses at Aalto

Code

Course

CR

Kie-98.xxxx

English course: compulsory degree requirement, both oral and written requirements

3

Mat-1.3981

N5TeAM Summer School in Applied and Engineering Mathematics

3

24 cr of the following

 

 

Mat-1.3531

Differential Geometry P (V)

5

Mat-1.3603

Mathematical Finance

5

Mat-1.3604

Stationary Processes

5

Mat-1.3658

Special Course in Numerical Analysis

3-6

Mat-1.3656

Seminar on Numerical Analysis and Computational Science

2

Mat 5.3750

Special Course in Computational Mechanics

5

 

Other suitable courses accepted for graduate students

 

 

TOTAL

30

 

CHALMERS:

Chalmers to NTNU

First autumn courses

Code

Course

CR

TMA401

Functional Analysis

7,5

MVE140

Foundations of Probability

7,5

MVE185

Computer Intensive Statistical Methods (track S)

7,5

MVE190

Linear Statistical Models (track S)

7,5

TMA947

Optimization (track CM)

7,5

TMA265

Numerical Linear Algebra (track CM)

7,5

 

TOTAL

30

 

First spring courses

Code

Course

CR

MVE160

Mathematical Modelling

7,5

MVE150

Algebra

7,5

TMA881

High-Performance Computing

7,5

MVE155

Statistical Inference (track S)

7,5

TMA322

Partial Differential Equations (track CM)

7,5

 

TOTAL

30

 

Chalmers to Aalto

First autumn courses

Code

Course

CR

MVE140

Foundations of Probability (II)

7,5

TMA401

Functional Analysis (I)

7,5

TMA947

Optimization (II)

7,5

TMA265

Num. Lin. Alg. (I)

7,5

 

TOTAL

30

 First spring courses

Code

Course

CR

TMA372

PDE (III)

7,5

TMA881

High Perf. Comp. (IV)

7,5

MVE150

Algebra (III)

7,5

 

Elective course

7,5

 

TOTAL

30

 

Aalto to Chalmers
Second autumn courses

Code

Course

CR

 

Choose four of the following courses:

 

TMA401

Functional Analysis 

7,5

TMA265

Numerical Linear algebra A

7,5

TMA632

Partial Differential Equations, project course 

7,5

MVE080

Scientific Visualization 

7,5

TMA462

Wavelet Analysis 

7,5

KMG060

Systems Biology 

7,5

FFR110

Computational Biology 1 

7,5

TME225

Mechanics of Fluids

7,5

TME235

Mechanics of Solids 

7,5

 

TOTAL

30

 

 

From NTNU to Chalmers
Second autumn courses

Code

Course

CR

 

Choose four of the following courses:

 

TMS165

Stochastic Calculus

7,5

MVE140

Foundations of Probability                        

7,5

TMA401

Functional Analysis

7,5

FFR110

Computational Biology

7,5

MVE190

Linear Statistical Models

7,5

MVE220

Financial Risk

7,5

 

TOTAL

30

 

 DTU:

 DTU to KTH

First autumn courses

Code

Course

CR

02409

Multivariate Statistics E1A

5

02610

Optimization and Datafitting E2A

5

01415

Computational Discr. Mathematics E3A

5

01418

Introduction to PDE E5A 

5

02393

Programming in C++

5

02614

High-performance Computing 

5

 

TOTAL

30

 First spring courses

Code

Course

CR

02685

Scientific Computing for Differential Equations F1

10

02616

Large-scale Modeling F3A

5

42490

Technology, Economy, Management and Organization, F5

10

02417

Time Series Analysis F2B

5

 

TOTAL

30

 

DTU to NTNU

First autumn courses

Code

Course

CR

02409

Multivariate Statistics E1A

5

02610

Optimization and Data Fitting E2A

5

01617

Dynamical Systems 1 E4A

5

01418

Introduction to PDE E5A

5

01715

Functional Analysis E4B

5

02623

The Finite Element Method for PDEs 

5

 

TOTAL

30

 First spring courses

Code

Course

CR

01410

Cryptology 1 F2A 5

5

01618

Dynamical Systems 2 F4A 5

5

42490

Technology, Economy, Management and Organization, F5

10

01227

Graph Theory F1B

5

01234

Differential Geometry with Applications F2B

5

 

TOTAL

30

 

From Aalto to DTU
Second autumn courses

 

Code

Course

CR

 

N5TeAM Summer School in Applied and Engineering Mathematics with follow-up

5

42490

Technology, Economy, Management and Organization E5 

10

 

Three of the following courses:

 

01235

Manifolds and Tensor Analysis E1A

5

01617

Dynamical Systems 1 E4A

5

01257

Advance Modelling

5

xxxxx

Light Weight Cryptology

5

 

TOTAL

30

 

From NTNU to DTU
Second autumn courses 

Code

Course

CR

 

N5TeAM Summer School in Applied and Engineering Mathematics with follow-up 

5

42490

Technology, Economy, Management and Organization E5

10

 

Three of the following four courses:

 

01235

Manifolds and Tensor Analysis

5

10336

Fundamental Problems in Fluid Dynamics E1B

5

01715

Functional Analysis E4B

5

xxxxx

Light Weight Cryptology

5

 

TOTAL

30

 

KTH:

 KTH to NTNU

First autumn courses

Code

Course

CR

SF2561

Finite Element Methods

7,5

SF2736

Discrete Mathematics

7,5

DA2205

Philosophy of Science (equivalent)

3

SF2713

Foundations of analysis

7,5

SF2743

Advanced real Analysis I

7,5

 

TOTAL

33

 First spring courses

Code

Course

CR

SF2568

Parallel Computations for Large-Scale Problems

7,5

SF2950

Applied Mathematical Statistics

7,5

DA2205

Philosophy of Science (equivalent)

4,5

SF2744

Advanced real Analysis II

7,5

 

TOTAL

27

 

KTH to Aalto

First autumn courses

Code

Course

CR

SF2736

Discrete Mathematics

7,5

SF2940

Probability Theory

7,5

DA2205

Philosophy of Science (equivalent)

3

SF2713

Foundations of Analysis

7,5

SF2743

Advanced real analysis I

7,5

 

TOTAL

33

 

First spring courses

Code

Course

CR

SF2568

Parallel Computations for Large-Scale Problems

7,5

SF2822

Applied Nonlinear Optimization

7,5

DA2205

Philosophy of Science (equivalent)

4,5

SF2744

Advanced real analysis II

7,5

 

TOTAL

27

 

Second autumn courses at KTH

 Code

 

Course

CR

Compulsory

 

 

DA2205

Philosophy of Science

7,5

DN240X

Master Thesis project (second spring)

30

Recommended

 

 

SK2530

Introduction to Biomedicine

6

DD2435

Mathematical Modelling of Biological Systems

9

Elective

 

 

DD2404

Applied Bioinformatics

7,5

DD2431

Machine Learning

6

BB2300                                            7,5

Computational Chemistry

7,5

BB2440

Bioinformatics and Biostatistics

7

BB2280

Molecular Modeling

7,5

DN2230

Fast Numerical Algorithms for Large-Scale Problems

7,5

DN2295

Project Course in Scientific Computing

7,5

 

TOTAL

60

 

NTNU:

 NTNU to KTH

First autumn courses

Code

Course

CR

TMA4245

Linear Methods

7,5

TMA4195

Mathematical Modeling

7,5

TMA4205

Numerical Linear Algebra

7,5

TMA4220

Num Part Diff Elem

7,5

 

TOTAL

30

 First spring courses

Code

Course

CR

TMA4180

Optimization Theory

7,5

TMA4280

Supercomputers, Introduction

7,5

TMA4150

Algebra and Number Theory

7,5

TMA4267

Linear Statistical Models

7,5

 

TOTAL

30

 

NTNU to Chalmers

First autumn courses

Code

Course

CR

TMA4145

Linear Methods

7,5

TMA4305

Partial Differential Equations (track 1)

7,5

TMA4295

Statistical Inference

7,5

TMA4195

Mathematical Modeling

7,5

TMA4265

Stochastic Processes (track 2)

7,5

 

TOTAL

30

 First spring courses

Code

Course

CR

TMA4170

Fourier Analysis

7,5

TMA4180

Optimization

7,5

TMA4150

Algebra and Number Theory

7,5

 

One elective course

7,5

 

TOTAL

30

 

NTNU to DTU

First autumn courses

Code

Course

CR

TMA4195

Mathematical Modeling

7,5

TMA4145

Linear Methods

7,5

TMA4305

Partial Differential Equations

7,5

TMA4265

Stochastic Processes

7,5

 

TOTAL

30

 First spring courses

Code

Course

CR

TMA4150

Algebra and Number Theory

7,5

TMA4185

Coding Theory

7,5

TMA4165

Diff Eq. And Dynamical Systems

7,5

TMA4180

Optimization Theory

7,5

 

TOTAL

30

 

Second autumn courses at NTNU

Code

Course

CR

TMA 4500

Written Project

15

 

Electives (choose 15 credits)                            

 

TMA4195

Mathematical Modeling

7,5

TMA4205

Numerical Linear Algebra

7,5

TMA4220

Finite Element Methods

7,5

TMA4225

Analysis

7,5

TMA4305

Partial Differential Equations

7,5

TMA4285

Time Series Analysis

7,5

TMA4295

Statistical Inference

7,5

TMA4315

General Linear Models

7,5

 

TOTAL

30

 

 

 

 

 

 

 

 

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