Master's program guide Industrial and Applied Mathematics 2013

Master program guide

Industrial and Applied

Mathematics

2013-2014

Editor: mrs. C.C.H. (Caroline) Welten ([email protected])

/ department of mathematics and computer science

mailto:[email protected]

Program guide 2013-2014 Industrial and Applied Mathematics

/ department of mathematics and computer science 1

Dear student, This guide provides you with useful information about the Master Program “Industrial and Applied Mathematics” (IAM). The table of contents will give you an idea of the broad spectrum of issues discussed in it. We offer three specializations: Computational Science and Engineering (CSE), Discrete Mathematics and Applications (DMA), and Statistics, Probability and Operations Research (SPOR). The outline of the specializations is given in Chapter 1. In Chapter 8, we present the full curriculum in the academic year 2013-2014. I would like to ask your special attention for Chapter 2. There you find useful tips for planning your study and for related administrative actions. In addition to this guide, the web is an important source of information for students. First of all, I recommend our own website http://w3.win.tue.nl/en/education. It provides you with useful information, including official documents and practical links. Furthermore, I suggest consulting the general education website of TU/e at http://education.tue.nl, which contains timetables, schedules of examinations, detailed descriptions of courses, and more. This master guide is written with great care and tries to give you information on a wide range of subjects. However, it is impossible to address every conceivable question. Please do not hesitate to contact me, the specialization mentor, or the study coordinator if you have further questions, but also in case you observe errors or inconsistencies in this guide. I do hope your stay in Eindhoven will be a pleasant and productive one. Prof.dr. J.S.H. van Leeuwaarden, Director Graduate Program

http://w3.win.tue.nl/en/education/

http://education.tue.nl/



Table of Contents

1 Industrial and Applied Mathematics ..................................................................................................... 5

1.1 Profile ............................................................................................................................................ 5

1.2 The final qualifications of IAM ....................................................................................................... 6

1.3 General outline of the program .................................................................................................... 7

1.4 Degree Awarding ........................................................................................................................... 8

1.5 Admission ...................................................................................................................................... 8

2 Student action planner .......................................................................................................................... 9

3 Computational Science and Engineering (CSE) ................................................................................... 11

3.1 CSE Core Program ........................................................................................................................ 11

3.2 Individual Program ...................................................................................................................... 11

3.3 Final Project ................................................................................................................................. 12

3.4 Overview ...................................................................................................................................... 13

4 Discrete Mathematics and Applications (DMA) .................................................................................. 14

4.1 DMA Core Program ..................................................................................................................... 14

4.2 DMA Individual Program ............................................................................................................. 14

4.3 Final Project ................................................................................................................................. 15

4.4 Overview ...................................................................................................................................... 16

5 Statistics, Probability and Operations Research (SPOR)...................................................................... 17

5.1 SPOR Core Program ..................................................................................................................... 17

5.2 Individual Program ...................................................................................................................... 17

5.3 Final Project ................................................................................................................................. 18

5.4 Overview ...................................................................................................................................... 19



6 Homologation ...................................................................................................................................... 20

7 Electives ............................................................................................................................................... 21

7.1 Elective Program.......................................................................................................................... 21

7.2 The Regie-orgaan and 3TU-program ........................................................................................... 21

7.3 Research schools ......................................................................................................................... 22

7.4 Application oriented themes ....................................................................................................... 22

7.5 Capita Selecta Courses ................................................................................................................ 23

7.6 Miscellaneous courses................................................................................................................. 23

8 Curriculum 2013-2014 ......................................................................................................................... 24

8.1 Computational Science and Engineering ..................................................................................... 24

8.2 Discrete Mathematics and Applications ...................................................................................... 25

8.3 Statistics, Probability and Operations Research.......................................................................... 26

9 The teacher profile in IAM ................................................................................................................... 27

10 Courses and Examination .................................................................................................................... 28

10.1 Courses ........................................................................................................................................ 28

10.2 Examination ................................................................................................................................. 28

11 The educational organization .............................................................................................................. 29

11.1 Division of mathematics .............................................................................................................. 29

11.2 Director of Education .................................................................................................................. 30

11.3 Program leader ............................................................................................................................ 30

11.4 Specialization mentor .................................................................................................................. 30

11.5 Study coordinator ........................................................................................................................ 30

11.6 Student Administration ............................................................................................................... 31



11.7 Student Service Center ................................................................................................................ 31

11.8 Library services ............................................................................................................................ 31

11.9 Student Shop/Reproshop ........................................................................................................ 32

11.10 Computer Services Office ........................................................................................................ 32

11.11 Student association GEWIS ..................................................................................................... 33

11.12 Student Council ....................................................................................................................... 33

12 Calendars and schedules ..................................................................................................................... 34

12.1 Calendar ...................................................................................................................................... 34

12.2 Schedules ..................................................................................................................................... 34

12.3 Final examinations ....................................................................................................................... 34



1 Industrial and Applied Mathematics

1.1 Profile

The academic Master's degree program in Industrial and Applied Mathematics (IAM) consists of three specializations, based on a common philosophy and program structure but with different mathematical contents and fields of applications. These specializations are

Computational Science and Engineering (CSE),

Discrete Mathematics and Applications (DMA),

Statistics, Probability and Operations Research (SPOR). The objective of IAM The MSc-program in Industrial and Applied Mathematics (IAM) aims to train students to become professional applied mathematicians who are able to

do research in a specific field of applied mathematics, depending on the specialization chosen,

apply and develop mathematical methods and computational skills to solve industrial and engineering problems,

communicate on an academic level in an industrial, social and multi-disciplinary environment.

CSE Besides the general objective of IAM, the CSE program focuses on the development of advanced mathematical and computational skills in order to analyze and simulate complex physical and engineering processes. Specific topics in the application domain of CSE are Fluid dynamics, Laminar and Turbulent flows, Elasticity, Acoustics, Electrical circuits and Electromagnetism, (Medical) Image Analysis and Feature extraction, Multiphase flow and Multi Scale Analysis. DMA Besides the general objective of IAM, the DMA program focuses on the development of advanced discrete mathematical methods and models which can be used in a wide application area, especially in the field of digital communication and information. Discrete Algebra and Geometry, Coding Theory and Cryptology, and Combinatorial Optimization are the main subjects in DMA. SPOR Besides the general objective of IAM, the SPOR program focuses mainly on modeling, analyzing, simulating, and optimizing processes related to the manufacturing and quality control of products and the operational management of control and distribution schemes. Typical topics of the SPOR specialization are Statistics, Probability, Deterministic and Stochastic Decision Theory, and Combinatorial Optimization.



1.2 The final qualifications of IAM

As indicated by the general objective of IAM, students are trained to become professional applied mathematicians of an academic level, able to apply and develop computational methods of a mathematical nature and capable of communicating their work to groups with varying mathematical or non-mathematical background. The resulting skills of an IAM graduate, grouped into five categories, are as follows: 1. Mathematical knowledge and insight:

To have a broad knowledge of applied mathematics, typically with a high level of abstraction and rigor in reasoning.

To know the mathematics that according to international standards belong to the professional knowledge of an academically educated mathematician at the level of a Master of Science in one of the specializations in Computational Science and Engineering, Discrete Mathematics and Applications, and Statistics, Probability and Operations Research.

2. Mathematical operational proficiencies:

To be skilled in integrating, modifying and developing the constructive methods of the chosen specialization.

To be able to adequately treat interrelated problems of reasonable size and mathematical complexity.

3. Proficiencies in research and design:

To be able to perform scientific research independently and to acquire relevant research developments.

To be able to design and implement methods and techniques in the chosen specialization for practical purposes in an industrial or social context.

4. Academic proficiencies and attitude:

To have a critical and creative attitude when working on problems, and when learning or developing recent mathematical theories and methods.

To have insight in the social responsibilities of a mathematician with respect to his/her contribution to the solution of non-mathematical problems.

5. Proficiencies in communication:

To be able to adequately transfer mathematical results, both orally and written, in an international context.

To be able to lucidly communicate mathematical results with colleagues and non-colleagues.



1.3 General outline of the program

IAM is a two-year master program. Each year is divided into two semesters and accounts for a total of 60 credit points. One credit point corresponds to 28 hours of study time. The IAM program for each of the three specializations can be divided into three parts:

Parts of study program Credits

Core Program 39

Individual Program 51

Final Project 30

The core part of each specialization consists of at least 3 courses from the IAM basic courses, a Modeling Week (3 credits) and some specialization specific courses.

During the modeling week, students work in groups on industrial problems. The event takes place during the 10th week of the first semester. The problems are presented on Monday morning, while on Friday afternoon the groups are presenting their results.

Each group consists of 4 to 5 students, part of them bachelor graduates from Eindhoven and the others students coming from other universities and in particular form abroad. Besides broadening of competences within groups, this heterogeneous composition works efficiently for the integration of all master students into the program, and sets the basis for a good collaboration in the future.

IAM basic courses

Code Course Credits

2WA08 Applied functional analysis 6

2WN10 Scientific computing 6

2WB08 Stochastic processes 6

2WC09 Coding and crypto 1 6

The contents of the IAM basic courses cover a broad spectrum of basics in applied mathematics. The first three courses are prepared in collaboration with the three Dutch universities of technology. The Individual Program (51 credits) is divided into a Homologation Program (≤ 15 credits) and an Elective Program (of ≥ 36 credits). The master program finishes with a Final Project. The Homologation Program (≤ 15 credits) is intended to bring the knowledge and skills of students with different backgrounds to a comparable level, and to provide a good connection between a student’s prior knowledge and the contents of the specialization program. For each student, the Admission Committee TCW will decide on the contents of the Homologation Program. For details, see Chapter 6. The contents of the Elective Program can be chosen by a student according to some general rules. These rules are mentioned in the sections that are specific to each track, as well as in

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Chapters 7 and 8. For example, any course in a specialization can be an elective in another specialization. Furthermore, all courses from a master’s degree program of a Dutch university or a university abroad are possible electives. For all students, the contents of the Elective Program are to be approved by the Examinations Committee. An Internship of 15 ECTS can be included in the Elective Program of each student. This Internship can be used as a start-up of the Final Project. The decision concerning the Internship should be taken in agreement with the future supervisor of the Final Project. Every course offered by the Department of Mathematics has a dedicated folder on http://education.tue.nl. It is strongly recommended that students register for the courses they are following. This website is the main communication channel for all matters related to a specific course, including the distribution of study material or last minute changes. The Final Project takes place in industry, at the university, or in a governmental organization during the final six months (30 credits) of the curriculum. The work will be carried out under supervision of a chair in mathematics of our department (see Section 11.1). An individually assigned advisor will guide the student through this elaborate research or industrial experience.

1.4 Degree Awarding

The Master’s degree program Industrial and Applied Mathematics is registered in the Dutch Centraal Register Opleidingen Hoger Onderwijs (CROHO) of the Dutch Ministry of Education as # 60347. Graduates obtain the degree of Master of Science (MSc) as well as the Dutch degree of “ingenieur”, abbreviated as “ir.” (cf. WHW 7.20).

1.5 Admission

The general requirements for admission to the IAM program are that the student has a Bachelor’s degree of an applied mathematical signature, based on a program of academic level and quality, in order to be able to complete the IAM program successfully, and that he/she has sufficient command of English. The body in charge of admissions to the IAM program is the Admission Committee TCW (Toelatingscommissie Wiskunde). Part of the Individual Program, the Homologation Program (see Chapter 6), can be used to bring the knowledge of the students coming from different studies to a comparable level, and to provide a good connection between a student’s knowledge and the contents of the core program. For each student, the Admission Committee TCW will decide on the contents of the Homologation Program. For each of the three specializations we will give a detailed account of the program in Chapters 3, 4 and 5.




2 Student action planner

The table below provides a short overview of the required (administrative) actions during student’s studies. Before the start of studies

Read this guide very carefully. Choose your specialization. For any questions contact your specialization mentor or study advisor.

At the beginning of each semester

Register at http://education.tue.nl for the courses you intend to study and for the written exams. Make sure you do this in time.

Start of first semester

Choose the relevant courses from the IAM basics and the 3TU-program.

Start of second semester

Choose the contents of your individual program and, if already possible, an advisor for your Final Project. Discuss this program with this advisor, your specialization mentor or study advisor.

Study program

Once you have accumulated 40-50 credits, please submit a study program. The form is available at http://w3.win.tue.nl/en/education/organization/forms/study_program_form/. Make sure both you and your graduation supervisor sign the form. Submit it to the Student Administration, room MF3.068.

Graduation regulations

Read these before actually beginning your Final Project. The regulations are available at http://w3.win.tue.nl/en/programs/graduate_programs/students_mathematics/.

Graduation planning

Before actually beginning your graduation project, please download and fill out the form for graduation planning. It is available at http://www.win.tue.nl/student. Gather all the required signatures on the form and provide a problem description. Submit it to the Student Administration, room MF3.068.

Register for the graduation meeting The Examination Committee assembles at least three times per year. You can find the dates at http://education.tue.nl. You need to register at http://education.tue.nl for this final examination.


http://w3.win.tue.nl/en/education/organization/forms/study_program_form/

http://www.win.tue.nl/student





Composition of the assessment committee

At least one month before your graduation date.

Form available at http://w3.win.tue.nl/en/programs/graduate_programs/students_mathematics/.

Graduation supervisor must assemble the committee.

Collect all required signatures on the form.

Submit to the Student Administration, room MF3.068.

Graduation presentation

At least two weeks before the examination meeting.

You can book a room for your presentation at the Student Administration, room MF3.068 (provided all results of your study program are registered at the administration).

Fill in the "Form for examinations"

Submit two weeks before the examination meeting.

You receive the form by e-mail from the Student Administration.

Make sure both you and your graduation supervisor sign the form.

Submit to the Student Administration, room MF3.068.

Print your graduation report

At least one week before the examination meeting,

hand in a cd-rom to the Student Administration, room MF3.068.



3 Computational Science and Engineering (CSE)

3.1 CSE Core Program

The CSE specialization program consists of the following eight courses. They are all mandatory.

Quartile Code Study component Credits

First year – compulsory courses 39

1 2WH06 Modeling week 3

1 2WN11 Numerical programming 1 3

1-2 2WA08 Applied functional analysis 6

1-2 2WA09 Partial differential equations 6

1-2 2WB08 Stochastic processes 6

1-2 2WN10 Scientific computing 6

3 2WA11 Continuum mechanics 3

3-4 2WN13 Scientific computing in partial differential equations 6

3.2 Individual Program

The Individual Program consists of a Homologation Program and an Elective Program. The Homologation Program (≤ 15 credits) is intended to bring the knowledge of students coming from different studies to a comparable level, and to provide a good connection between a student’s knowledge and the contents of the core program. For each student, the Admission Committee TCW will decide on the contents of the Homologation Program. For details, see Chapter 6. The individual Elective Program of a student has to satisfy the general conditions in Chapter 7. Furthermore, at least 12 credits should be obtained from courses listed in the first group of electives, and 6 credits from courses listed in the second group of electives. For the remaining credits the student may choose some courses that are oriented to a specific application, as mentioned in Chapter 7. These electives can be chosen without explicit prior approval of the Examinations Committee, but it is strongly recommended to consult the master coordinator, track mentor, or the (intended) graduation supervisor when making a choice. Furthermore, all courses from a master’s degree program of a Dutch university or a university abroad are possible electives, but this choice is subject of approval from the Examinations Committee.

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First year – electives ** : choose at least 12 credits from 12

1-2 2WB10 Systems and control (*) 6

1-2 2WC09 Coding and crypto 1 6

1-2 2WO05 Continuous optimization (*) 6

3-4 2WA10 Advanced modeling (*) 6

3-4 2WN12 Applied finite elements (*) 6

3-4 2WS09 Stochastic differential equations (*) 6

3-4 2WS10 Applied statistics (*) 6

First year – electives **: choose at least 6 credits from 6


3 2WA12 Modeling and perturbation methods 3

3-4 2WA13 Evolution equations 6

First year – free elective*** 3

Second year 60

1-2 Electives 15

1-2 2H019 Internship *** 15

3-4 2H016 Final Project* 30

*) The Final project (2H016) can only be started with if the student's study program has

been approved by the Examinations Committee (see the Graduation regulations for Industrial and Applied Mathematics). Moreover, it is required that interim examinations totaling at least 78 credits have been passed before one can start the Final project. This minimum reduces to 63 credits if the Final project is combined with an Internship.

**) These electives can be chosen without prior approval of the Examinations Committee. ***) See also the list of electives for IAM. The combination of Internship (2H019) and

electives in the second year can be replaced by a total of 30 credits of electives. Courses marked (*) are organized by the Regie-orgaan, see Section 7.2 for details.

3.3 Final Project

The Final Project takes place in industry, at the university, or in a governmental organization during the final six months (30 credits) of the curriculum. The work will be carried out under supervision of a chair in mathematics of our department (see Section 11.1). An individually assigned advisor will guide the student through this first extensive research experience. The Final Project can only be started with if the individual master’s degree program has been approved by the Examination Committee (see the Graduation regulations for IAM at http://w3.win.tue.nl/en/education/regulations). The Final Project (2H016) can be combined with an Internship (2H019) of 15 credits. This decision should be taken in good agreement with the supervisor of the Final Project. It is required that interim examinations of at least 78 credits have been passed before one can start the Final Project. This minimum reduces to 63 credits if the Final project is combined with an Internship.



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http://w3.win.tue.nl/en/education/regulations





Moreover, a student has to contact a chair in mathematics (see Section 11.1) of his/her choice to find a supervisor of the project and discuss the details and requirements for the project. To start a Final Project a student needs the approval of the supervisor and the student advisor on behalf of the Examination Committee. These approvals are registered in the so-called Final Project Application Form, which is to be obtained from the Student Administration Office (see Section 11.6). When a student has passed all the courses of his/her program and has finished the Final Project, he or she can ask to be admitted to the final examination. Admission forms are available at the Student Administration Office (see Section 11.6). The Examination Committee will then decide whether a master’s degree can be granted to a student.

3.4 Overview



4 Discrete Mathematics and Applications (DMA)

4.1 DMA Core Program

The DMA Core Program consists of the following eight courses. A student has to choose at least two of the three IAM basic courses 2WA08, 2WB08 and 2WN10. The courses 2WA08 and 2WB08 are recommended.





1-2 2WF04 Linear and bilinear algebra 6

3 2WC17 Cryptographic protocols 1 3

3-4 2WO08 Graphs and algorithms 6


First year – electives: choose at least 12 credits from 12




4.2 DMA Individual Program

The Individual Program (36 credits) consists of a Homologation Program (≤ 15 credits) and an Elective Program (≥ 21 credits). The Homologation Program (≤ 15 credits) is intended to bring the knowledge of students coming from different studies to a comparable level, and to provide a good connection between a student’s knowledge and the contents of the core program. For each student, the Admission Committee TCW will decide on the contents of the Homologation Program. For details, see Chapter 6. The individual Elective Program of a student has to satisfy the general conditions in Chapter 7. Furthermore, at least 12 credits should be obtained from courses listed in the first group of electives, and 6 credits from courses listed in the second group of electives. For the remaining credits the student may choose some courses that are oriented to a specific application, as mentioned in Chapter 7. These electives can be chosen without explicit prior approval of the Examinations Committee, but it is strongly recommended to consult the master coordinator, track mentor, or the (intended) graduation supervisor when making a choice. Furthermore, all

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courses from a master’s degree program of a Dutch university or a university abroad are possible electives, but this choice is subject of approval from the Examinations Committee.










3-4 2WF05 Algebra and geometry 6

3-4 2WO06 Integer programming and polyhedral combinatorics 6

First year – free electives*** 9

Second year 60

1-2 Electives 15


2-4 2H016 Final Project * 30




electives in the second year can be replaced by a total of 30 credits of electives. Courses marked (*) are organized by the Regie-orgaan, see Section 7.2 for details.

4.3 Final Project

The Final Project takes place in industry, at the university, or in a governmental organization during the final six months (30 credits) of the curriculum. The work will be carried out under supervision of a chair in mathematics of our department (see Section 11.1). An individually assigned advisor will guide the student through this first extensive research experience. The Final Project can only be started with if the individual master’s degree program has been approved by the Examination Committee (see the Graduation regulations for IAM at http://w3.win.tue.nl/en/education/regulations). The Final Project (2H016) can be combined with an Internship (2H019) of 15 credits. This decision should be taken in good agreement with the supervisor of the Final Project. It is required that interim examinations of at least 78 credits have been passed before one can start the Final Project. This minimum reduces to 63 credits if the Final project is combined with an Internship.


















Moreover, a student has to contact a chair in mathematics (see Section 11.1) of his/her choice to find a supervisor of the project and discuss the details and requirements for the project. To start a Final Project a student needs the approval of the supervisor and the student advisor on behalf of the Examination Committee. These approvals are registered in the so-called Final Project Application Form, which is to be obtained from the Student Administration Office (see Section 11.6). When a student has passed all the courses of his/her program and has finished the Final Project, he or she can ask to be admitted to the final examination. Admission forms are available at the Student Administration Office (see Section 11.6). The Examination Committee will then decide whether a master’s degree can be granted to a student.

4.4 Overview



5 Statistics, Probability and Operations Research (SPOR)

5.1 SPOR Core Program

The SPOR specialization program consists of the following 9 courses. A student has to choose at least two of the three IAM basic courses 2WA08, 2WC09 and 2WN10.





3 2WS12 Random graphs 3

3 2WS17 Advanced statistics 3

3-4 2WB11 Queueing systems 6


First year – electives: choose at least 12 credits from 12




5.2 Individual Program

The Individual Program (36 credits) consists of a Homologation Program (≤ 15 credits) and an Elective Program (≥ 21 credits). The Homologation Program (≤ 15 credits) is intended to bring the knowledge of students coming from different studies to a comparable level, and to provide a good connection between a student’s knowledge and the contents of the core program. For each student, the Admission Committee TCW will decide on the contents of the Homologation Program. For details, see Chapter 7. The individual Elective Program of a student has to satisfy the general conditions in Chapter 7. Furthermore, at least 12 credits should be obtained from courses listed in the first group of electives, and 12 credits from courses listed in the second group of electives. However, if the student has chosen all nine courses from the SPOR mandatory program, it suffices to choose only one course from the first group of electives. For the remaining credits the student may choose some courses that are oriented to a specific application, as mentioned in Chapter 7. These electives can be chosen without explicit prior approval of the Examinations Committee,


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but it is strongly recommended to consult the master coordinator, track mentor, or the (intended) graduation supervisor when making a choice. Furthermore, all courses from a master’s degree program of a Dutch university or a university abroad are possible electives, but this choice is subject of approval from the Examinations Committee.










Second year 60

1-2 Electives*** 15






electives in the second year can be replaced by a total of 30 credits of electives. ****) If the student has chosen all nine courses from the first two groups, it suffices to choose

only one of course from this group of electives. Courses marked (*) are organized by the Regie-orgaan, see Section 7.2 for details.

5.3 Final Project

The Final Project takes place in industry, at the university, or in a governmental organization during the final six months (30 credits) of the curriculum. The work will be carried out under supervision of a chair in mathematics of our department (see Section 11.1). An individually assigned advisor will guide the student through this elaborate research experience. The Final Project can only be followed if the individual master’s degree program has been approved by the Examination Committee (see the Graduation regulations for IAM at http://w3.win.tue.nl/en/education/regulations). The Final Project (2H016) can be combined with an internship (2H019) of 15 credits. In this case the decision should be taken in good agreement with the supervisor of the Final Project. The Final Project can only be followed if the individual master’s degree program has been approved by the Examinations Committee (see the Graduation regulations for Industrial and Applied Mathematics). It is required that interim examinations of at least 78 credits have been
















passed before one can start the Final Project. This minimum reduces to 63 credits if the Final project is combined with an Internship. Moreover, a student has to contact a chair in mathematics (see Section 11.1) of his/her choice to find a supervisor of the project and discuss the details and requirements for the project. To start a Final Project a student needs the approval of the supervisor and the student advisor on behalf of the Examination Committee. These approvals are registered in the so-called Final Project Application Form, which is to be obtained from the Student Administration Office (see Section 11.6). When a student has passed all the courses of his/her program and has finished the Final Project, he or she can ask to be admitted to the final examination. Admission forms are available at the Student Administration Office (see Section 11.6). The Examination Committee will then decide whether a master’s degree can be granted to a student.

5.4 Overview



6 Homologation This part of the curriculum is intended to bring the knowledge of the students coming from different studies to a comparable level, and to provide a good connection between a student's knowledge and the contents of the core program. For each student, the Admission Committee TCW will decide on the contents of Homologation Program. Students who have received a Bachelor's degree elsewhere, may need to include up to 15 credit points in their homologation course program. The possible homologation courses are listed below.

Code Study component Credits

2H001 Algebra 3

2H002 Approximation in function spaces 3

2H004 Differential equations 3

2H005 Numerical linear algebra 3

2H006 Mathematical statistics 3

2H007 Basic complex analysis 3

2H011 Matrix theory 3

2H013 Basic stochastic processes 3

These courses are not scheduled and it is assumed that students who have to take some courses of this list, complete them on their own under supervision of the teacher. For this, students should contact the teacher.











7 Electives

7.1 Elective Program

The contents of the Elective Program can be chosen by a student, according to the rules that are specific to each specialization. In fact, any course in a specialization could be an elective in another specialization. Moreover, all courses from a master program of a Dutch university or a university from abroad are possible electives. In this respect we mention the courses from the national course program offered by the so-called “Regie-orgaan”, the joint 3TU-program of the three universities of technology (see Section 7.2), and the courses offered by research schools (see Section 7.3). Furthermore, to emphasize the applied nature of your study program it is recommended to choose one or more themes in your Elective program. Section 7.4 contains a list of elective courses that are grouped together according to an application area or theme. The courses from a theme group can be chosen separately. Besides application oriented courses, there also exist so-called Capita Selecta courses offered by the chairs and research groups (see Section 11.1) of the Division of Mathematics of our faculty. These courses are in general of a theoretical nature directed at the expertise fields of the associated research group. Despite the many possibilities to fill your elective program, there are some conditions to be satisfied. The conditions depending on the chosen specialization can be found in Chapters 3, 4 and 5. The Elective Program, being part of an IAM program in which applications are important, must have an applied signature. Nevertheless, we encourage students to add non-technical courses to their Elective Program. The Elective Program has to be approved by the Examination Committee. It is very important to contact your specialization mentor (see Section 11.4) or the study coordinator (see Section 11.5) at the very beginning of your master study about the various possibilities to fill the Elective Program. As soon as the Individual Program is fixed, you should submit the program to the Examination Committee for approval. This should be done via the Student Administration Office (see Section 11.6). In general, elective courses are not scheduled. One has to consult http://education.tue.nl or to contact the lecturer. In choosing your electives it is worthwhile to consult also the Mastermath website, see the next section.

7.2 The Regie-orgaan and 3TU-program

The Regie-orgaan is a national organization, in which most of the Dutch universities work together to set up an educational program in mathematics. Courses in this program could be part of the mandatory or elective programs at the universities. The three Dutch technical universities (Technische Universiteit Eindhoven, Universiteit Twente and Technische Universiteit Delft) have set up a number of joint courses within the so-called 3TU-program. Information about the scheduling, contents and location of these courses can be found on the following website: http://www.mastermath.nl. Please view this site to register and also as a source of inspiration for possible electives.


http://www.mastermath.nl/



7.3 Research schools

The training of PhD-students is organized by research schools (onderzoekscholen). Some of these research schools have opened their courses for MSc-students, in particular, the Euler Institute for Discrete Mathematics and its Applications (EIDMA), which has Eindhoven as its main location. More information on the EIDMA-courses can be found on the website: http://www.win.tue.nl/wsk/eidma/. The Division of Mathematics also participates in the Institute for Business Engineering and Technology Applications (BETA), Engineering Mathematics (EM), J.M. Burgerscentrum Research School for Fluid Dynamics (JMBC), Materials Analysis, Testing, Technology and Research (MATTeR), Thomas Stieltjes Institute for Mathematics (Stieltjes), as well as in the Dutch Graduate Network in the Mathematics of Operations Research (Landelijk Netwerk Mathematische Besliskunde LNMB).

7.4 Application oriented themes

Some courses are grouped together with respect to a specific application theme. The next table presents an overview of these themes, the corresponding courses and the specializations associated to it. With the listed course codes, you may find information about the contents of the course at http://education.tue.nl. These electives can be chosen without explicit prior approval of the Examinations Committee, but it is strongly recommended to consult the master coordinator, track mentor, or the (intended) graduation supervisor when making a choice. When choosing one course listed in one theme it is not required to choose any other courses in the list.


Electromagnetism – CSE

1-2 2WN04 Numerical methods in electromagnetics 6

3 5MF00 Electromagnetic waves and antennas 3

3 5MH20 Electromagnetic theory of waveguides 3

Physical Transport Phenomena – CSE

2 2WA25 |ntroduction to homogenization 3

2 3T280 Turbulent flow phenomena 3

4 3T250 Geophysical fluid dynamics 3

Operations Management – SPOR

2 2P450 Sequencing and scheduling 3

3-4 1CM25 Supply chain operations planning 5 3-4 1CM30 Service supply chains for capital goods 5 4 2WB12 Stochastic decision theory 3

4 2WO07 Approximation algorithms 3

Computational Imaging - CSE, SPOR

http://www.win.tue.nl/wsk/eidma/


https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=5MF00&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=5MH20&studiejaar=2013&language=EN


https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=3T280&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=3T250&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2P450&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=1CM25&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=1CM30&studiejaar=2013&language=EN





1 8D010 Front-end vision and multiscale image analysis 3

Combinatorial and Statistical Design - DMA, SPOR


4 5N520 Statistical bioinformatics 2

7.5 Capita Selecta Courses

In case you would like to choose a Capita Selecta course in your elective program, you have to contact the head of the chair/research group (see Section 11.1) with which the course is associated. The Capita Selecta courses are all courses of 3 credits and are carried out by means of a literature study or a supervised self-study with help of prescribed study material. In general, every chair takes care of two Capita Selecta courses containing subjects which may vary each year. There are two codes for Capita Selecta: 2WX05 and 2WX06. For the contents of the Capita Selecta, one should contact the head of a chair or research group.

Capita selecta


2WX05 Capita selecta industrial and applied mathematics 1 3

2WX06 Capita selecta industrial and applied mathematics 2 3

7.6 Miscellaneous courses

There are some courses, offered by our Division of Mathematics, which could not be adjusted to the previous selections. In general, courses in this category are relevant for students from non-mathematical departments, but are evidently also of interest for mathematics students.

Miscellaneous courses


3 2F800 Tensor calculus and differential geometry 4

3-4 2DD23 Time series analysis and forecasting 5

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=8D010&studiejaar=2013&language=EN


https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=5N520&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2WX05&studiejaar=2013&language=NL

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2WX06&studiejaar=2013&language=NL

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2WX05&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2WX06&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2F800&studiejaar=2013&language=EN

https://venus.tue.nl/owinfo-cgi/owi_0695.opl?vakcode=2DD23&studiejaar=2013&language=EN



8 Curriculum 2013-2014 The IAM program comprises two years. Each year is divided into two semesters. A semester consists of two quartiles. A year accounts for a total of 60 credit points. The curriculum 2013-2014 is presented in the tables below.

8.1 Computational Science and Engineering






1-2 2WA09 Partial differential equations 6



3 2WA11 Continuum mechanics 3

3-4 2WN13 Scientific computing in partial differential equations 6


1-2 2WB10 Systems and control 6


1-2 2WO05 Continuous optimization 6

3-4 2WA10 Advanced modeling 6

3-4 2WN12 Applied finite elements 6

3-4 2WS09 Stochastic differential equations 6

3-4 2WS10 Applied statistics 6



3-4 2WA13 Evolution equations 6

4 2WA12 Modeling and perturbation methods 3


Second year 60

1-2 Electives 15





**) These electives can be chosen without prior approval of the Examinations Committee.
























***) See also the list of electives for IAM. The combination of Internship (2H019) and electives in the second year can be replaced by a total of 30 credits of electives.

8.2 Discrete Mathematics and Applications





1-2 2WF04 Linear and bilinear algebra 6


3-4 2WO08 Graphs and algorithms 6
















First year – free electives 3

Second year 60

1-2 Electives *** 15






electives in the second year can be replaced by a total of 30 credits of electives.

























8.3 Statistics, Probability and Operations Research





3 2WS12 Random graphs 3

3-4 2WB11 Queueing systems 6






First year – electives **** 12







First year – free electives *** 9

Second year 60

1-2 Electives*** 15



*) The Final project (2H016) can only be started with if the student's study program has been approved by the Examinations Committee (see the Graduation regulations for Industrial and Applied Mathematics). Moreover, it is required that interim examinations totaling at least 78 credits have been passed before one can start the Final project. This minimum reduces to 63 credits if the Final project is combined with an Internship.


electives in the second year can be replaced by a total of 30 credits of electives. ****) If the student has chosen all nine courses from the first two groups, it suffices to choose

only one of course from this group of electives.





















9 The teacher profile in IAM The Eindhoven School of Education (ESoE) at TU/e offers a master program in Science Education and Communication (SEC), see http://www.tue.nl/esoe. In particular, the mathematics specialization within this program leads to an `eerstegraads bevoegdheid wiskunde'. Students in the IAM program may combine the two programs IAM and SEC in a single double degree program IAM/SEC of about 165 credits. Compared with the regular IAM program, the main changes are reductions in the Individual Program and in the Final Project, see http://www.tue.nl/esoe.

http://www.tue.nl/esoe

http://www.tue.nl/esoe



10 Courses and Examination

10.1 Courses

There are three types of courses within the IAM program. We distinguish

Regular Lectures. These are courses usually taught once a week during one or two quartiles of a semester (semesters are divided into two quartiles). A lecture can be accompanied by an exercise session or practical, or be mixed with exercises during the lecture.

3TU-Lectures. These are courses taught once a week, on Monday during a semester. These courses are prepared in cooperation with the University of Twente and the Technical University of Delft, under supervision of the so-called “Regie-orgaan”. The location of these courses may vary. However, most of these courses will be taught in Utrecht.

3TU-Intensive courses. These are courses taught during one fixed week in a semester and two extra days. These courses are prepared in cooperation with the University of Twente and the Technical University of Delft, under supervision of the so-called “Regie-orgaan”. The location of these courses is the campus of the University of Twente.

10.2 Examination

For the lecture courses in IAM we encounter the following forms of interim examination:

written;

assignments;

oral;

combinations of the above. The form of the interim examinations is included in Annex 1 of the Education and Examination Regulations (http://w3.win.tue.nl/en/education/regulations). The interim examinations of the courses organized by the 3TU may differ; students are advised to consult the website http://www.mastermath.nl. A written interim examination of a course will be held in the examination period following the last quartile in which a course is running. A second interim examination will be organized in the examination period of the next quartile. To be admitted to a written interim examination, students have to register via the website http://education.tue.nl.


http://www.mastermath.nl/




11 The educational organization In this section we give a brief overview of the organization of the Department of Mathematics and Computer Science, in so far as relevant to students of IAM.

11.1 Division of mathematics

The Department of Mathematics and Computer Science consists of the divisions Mathematics, Computer Science, and Administration Affairs. The Division of Mathematics is responsible for the master's degree program of IAM. It hosts the following research groups in mathematics: Centre for Analysis, Scientific Computing, and Applications (CASA) Chairperson: Prof.dr. M.A. Peletier Vice-chairperson: Prof.dr. B. Koren Chairs:

Applied Analysis (AA) Secretariat: mrs. Th.J.M. Wolfs-van de Hurk, MF5.064, phone (040) (247) 4760.

Scientific Computing (SC) Secretariat: mrs. E.R.H. van Dijk, MF5.101, phone (040) (247) 2753. Stochastics (STO) Chairperson: Prof.dr. R.W. van der Hofstad Vice-chairperson: Prof.dr. O.J. Boxma Chairs:

Probability and Statistics (K&S) Secretariat: mrs. K. Lemmens-den Haan, MF4.079, phone (040) (247) 5631.

Stochastic Operations Research (SB) Secretariat: mrs. K. Lemmens-den Haan, MF4.079, phone (040) (247) 5631. Discrete Mathematics (DM) Chairperson: dr. F.G.M.T. Cuypers Vice-chairperson: Prof.dr. T. Lange Chairs:

Combinatorial optimization (CO) Secretariat: mrs. J.G.W. Klooster-Derks , MF4.058, phone (040) (247) 2254.

Coding Theory and Cryptology (CC) Secretariat: mrs. J.G.W. Klooster-Derks , MF4.058, phone (040) (247) 2254.

Discrete Algebra and Geometry (DAM) Secretariat: mrs. J.G.W. Klooster-Derks, MF4.058, phone (040) (247) 2254.



11.2 Director of Education

The educational programs in mathematics (including IAM) offered by the department are headed by the study-program director (opleidingsdirecteur). The study-program director for the Master's degree program IAM is Prof.dr. J.S.H. van Leeuwaarden, room MF4.096, phone (040) (247) 2813).

11.3 Program leader

For each of the specializations of IAM, a program leader is appointed. Together with the study-program director this program leader is responsible for the contents of the particular specialization. The program leaders are Prof.dr. M.A. Peletier for CSE, Dr. F.G.M.T. Cuypers for DMA, and Prof.dr. R.W. van der Hofstad for SPOR.

11.4 Specialization mentor

Within each of the specializations of IAM, a specialization mentor is appointed to help and advise students in all kinds of practical study related problems.

Specialization mentors

Specialization Mentor Address

CSE Prof.dr. I.S. Pop room MF5.066, phone (040) (247) 5516 e-mail [email protected]

DMA Dr. F.G.M.T. Cuypers room MF4.062, phone (040) (247) 2965 e-mail [email protected]

SPOR Dr. E.N. Belitser room MF4.074, phone (040) (247) 2212 e-mail [email protected]

11.5 Study coordinator

The study coordinator (mastercoördinator) helps and advises students with all kinds of practical problems regarding their studies, which are not related to a specific specialization. He is responsible for the administration and approval of a student's individual program. Before starting an internship or Final Project, it has to be registered and approved by the study coordinator.

The study coordinators for the Master's degree program IAM are Dr.ir. M.J.H. Anthonissen (room MF5.099, phone (040)(247) 4599, e-mail [email protected]) and Prof.dr. I.S. Pop (room MF5.066, phone (040)(247) 5516, e-mail [email protected]) .



mailto:[email protected])%20and




11.6 Student Administration

The Student Administration (room MF3.068, phone (040)(247) 2379/8343, e-mail [email protected]) takes care of the registration of various data of students, like examination results, study programs, etc. They also take care of the examination and lecture schedules. Opening hours: 11.00 – 12.00 hours and from 12.30 – 15.00 hours. More information can be found on website www.win.tue.nl/student.

11.7 Student Service Center

The Student Service Center (MetaForum 1.214, phone (040)(247) 4747) is the central information office of the university for questions of students concerning enrollment, finances, etc. The website of STU is http://w3.tue.nl/en/services/stu.

11.8 Library services

The TU/e Library: state-of-the-art service provided by Information Expertise Center (IEC)

The TU/e Library holds a large and up-to-date collection of scientific information. The TU/e

Library website www.tue.nl/library provides round-the-clock access from any workplace to a

wealth of digital information resources using advanced search tools.

The TU/e Library collection is focused mainly on the technical sciences. Collection policy is

linked directly to fields of research at TU/e departments.

The fully redeveloped and centralized TU/e Library is located in MetaForum, the building in the

center of the campus where you can also find the department of Mathematics and Computer

Science. It provides the TU/e community with an inspiring and information-oriented environment

for individual and collective study and work. There are over 950 study seats divided into quiet

areas near the book collection and workspaces where groups of students can discuss their

assignments. Each seat is equipped with wireless Internet access. Students may borrow

publications from the Library free of charge using a fully automated loan system.

Regular opening hours of the TU/e Library are: Monday-Friday 8.00-22.30 h. and Saturday-

Sunday 10.00-22.00 h. Even longer hours apply during examination periods.

For all further information about TU/e Library service go to our website: www.tue.nl/library.


http://www.win.tue.nl/student

http://w3.tue.nl/en/services/stu

http://www.tue.nl/library

http://w3.tue.nl/en/services/library/



11.9 Student Shop/Reproshop

In the Student Shop/dictatenverkoop you can buy lecture notes on cash or by pin payment. You can also buy several office supplies and some ICT products. The shop is open daily from 8.00 till 16.30. Inquiries can be made at: MetaForum 1.552, telephone number (040)(247) 2446, e-mail: [email protected].

You can find a catalogue with all available lecture notes at the sales counter. To avoid waiting we advice to buy the lecture notes as soon as possible.

The Reproshop is a self providing service of the TU/e, which is located in MetaForum 1.597. It offers students and staff a broad service in printing, copying and binding. It also offers a variety in final processing, office supplies (for example writing pads, pens, pencils) and a wide range of promotional gifts with the TU/e logo on it.

The Reproshop is open from Monday to Friday from 08.00 to 22.30 and on Saturday and Sunday from 10.00 to 22.00. Telephone number is (040)(247) 3376, e-mail: [email protected].

For book sales at discount prices, please refer to Section 11.11.

11.10 Computer Services Office

The ICT services desk (BCF) is part of the department office, and is located in MF3.083.

The ICT services desk is open on working days from 8.30 until 17.00 hrs, tel. (040) (247) 2802, e-mail: [email protected], Website: http://www.win.tue.nl/bcf.

The tasks of the Computer Service Office (BCF) are: • to provide computer facilities • to provide user support • to administer student accounts on the student server “svstud”, a Linux-server for the

students of the department

For questions about student e-mail accounts, please contact the ICT Information and Service Desk at LG 1.94, telephone number (040)(247) 4649. For other questions about ICT facilities contact the ICT services desk at MF3.083.

Printing for students is free of charge for the first 1000 pages, copying is not facilitated. Outside the department the students can do both print and copy with a PAS account. This PAS account can be loaded by payment at the ICT services desk.

To prevent the misuse of free printing, students who print more than 1000 pages per year shall be brought to the computer service office’s attention, and be warned that their account can be




http://www.win.tue.nl/bcf



blocked, if their printing behavior does not change. The account can be re-opened after a payment of 20 Euro.

For the notification of malpractices about space-, computer-, and network use, disturbances and questions about hard- and software, people can contact the ICT services desk, tel. (040)(247) 2802, e-mail: [email protected].

11.11 Student association GEWIS

The study association GEWIS (union of math- and computer-science students) was founded over 30 years ago. GEWIS represents students, promotes student interests and offers extracurricular activities. It organizes excursions to companies, who work with mathematics or computer science, and organizes an international study trip every two years. GEWIS also organizes the freshmen introduction week and the weekly “Borrel” on Thursdays from 16:30 until 19:00 in the GEWIS-room at which everyone is welcome. Also GEWIS is open during the day to relax and buy a can of soda or candy.

GEWIS publishes a magazine called “Supremum” and an almanac, and organizes weekends away, parties, and numerous other activities. In addition, the GEWIS-website offers summaries and old exams.

You should drop by!

GEWIS can be reached at: MF 3.155. e-mail: [email protected] and http://www.gewis.nl.

11.12 Student Council

The Student Council’s (StudentenRaad, SR) main goal is to help solve problems in the educational process, such as problems with examinations, time tables or professors. The SR also mediates in cases where individual students encounter problems and it serves as a first information point for students who do not know who to go to if they have a question; in many cases the SR can refer students to the right place. Students with complaints or questions can reach the SR in the following ways

By e-mail: [email protected];

By contacting the education commissioner of GEWIS: [email protected]

Also the SR organizes group meetings, in which the students can talk informally with teachers about what can be improved about the courses. If you want to participate in this, contact the study advisor or the education commissioner of GEWIS.



http://www.gewis.nl/





The group meetings are one of the ways the SR attempts to stimulate and facilitate contact among student members of the study program committee (OCI, ECM), the Faculty Council (FR), University Council (UR) and the Student Advisory Body (SAO) and to discuss the items on the agendas of each of these bodies. The SR consists of students who are member of one of these bodies.

12 Calendars and schedules

12.1 Calendar

The academic year is divided into two semesters of two quartiles each. Each quartile is seven weeks long. At the end of each quartile there is an examination period of two weeks.

12.2 Schedules

Schedules for classes and examinations are available on the website: http://education.tue.nl.

Time schedule for classes

Hour Begin - end

1 08:45 - 09:30

2 09:45 - 10:30

3 10:45 - 11:30

4 11:45 - 12:30

5 13:45 - 14:30

6 14:45 - 15:30

7 15:45 - 16:30

8 16:45 - 17:30

The website http://w3.tue.nl/en/contact displays a map of the TU/e campus, which can be used to find the lecture rooms.

12.3 Final examinations

Eleven times a year, the Examinations Committee will determine the results of a final examination for those students who have registered at the Student Service Center. The dates in the academic year 2013-2014 and the registration deadline can be found at http://education.tue.nl.


http://w3.tue.nl/en/contact


Documents

Master's program guide Industrial and Applied Mathematics 2013