Applied mathematical analysis - Specialization

Applied Mathematical Analysis

This specialization provides a strong theoretical and practical foundation in applied mathematics. The topics are chosen so as to be readily applicable to many different areas in engineering and science, and they form a blend of both classical areas and new areas that are expected to play a significant role in engineering in the future.

Specialization specific courses

The student must follow the requirements in the general curriculum for the programme. In addition, at least 20 ECTS points are obtained among the following courses:

01238 Differential Geometry 5 point Spring F2B (Thurs 8-12)
01257 Advanced Modelling - Applied Mathematics 5 point January
01325 Mathematics 4: Analysis - a Toolbox in Physics and Engineering 5 point Spring F1A (Mon 8-12)
01621 Perturbation theory for differential equations 5 point Spring F4A (Tues 13-17)
01715 Functional Analysis 5 point Autumn E4B (Fri 8-12)
01716 Advanced Partial Differential Equations: Theory and Applications 5 point Spring F3A (Tues 8-12)
02624 Inverse problems and Imaging 5 point Autumn E5B (Wed 13-17)

The following courses are recommended for the specialization:

01622 Advanced Dynamical Systems: Applications in Science and Engineering 5 point Spring F3B (Fri 13-17)

Examples of study plans

Four examples are shown: two focusing on analysis and two focusing on modelling. Both include study plans for students beginning in September or in February.

The study plans are examples only. Students are free to exchange the shown courses with other courses if the general requirements for the curriculum in mathmatical modelling and computation and the specialisation are satisfied. The proposed plans fulfil requirements of the MMC curriculum.

Study plan with focus on analysis - September start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
01617
Introduction to Dynamical Systems
5 point
02624
Inverse problems and Imaging
5 point
core competence course on... core competence course on statistics/optimization
5 point
programme specific course
5 point
elective course
5 point
38400
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
2.Semester
02613
Python and High-Performance Computing
5 point
12101
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
core competence course on... core competence course on statistics/optimization
5 point
01325
Mathematics 4: Analysis - a Toolbox in... Mathematics 4: Analysis - a Toolbox in Physics and Engineering
5 point
Innovation II
5 point
elective course
5 point
3.Semester
01715
Functional Analysis
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
01716
Advanced Partial Differential Equations:... Advanced Partial Differential Equations: Theory and Applications
5 point
Thesis
30 point

Study plan with focus on analysis - February start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
02613
Python and High-Performance Computing
5 point
12101
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
01325
Mathematics 4: Analysis - a Toolbox in... Mathematics 4: Analysis - a Toolbox in Physics and Engineering
5 point
core competence course on... core competence course on statistics/optimization
5 point
elective course
5 point
38402
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
2.Semester
01617
Introduction to Dynamical Systems
5 point
core competence course on... core competence course on statistics/optimization
5 point
01715
Functional Analysis
5 point
Innovation II
5 point
programme specific course
5 point
elective course
5 point
3.Semester
01716
Advanced Partial Differential Equations:... Advanced Partial Differential Equations: Theory and Applications
5 point
01238
Differential Geometry
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Study plan with focus on modelling - September start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
01617
Introduction to Dynamical Systems
5 point
02624
Inverse problems and Imaging
5 point
core competence course on... core competence course on statistics/optimization
5 point
programme specific course
5 point
elective course
5 point
01257
Advanced Modelling - Applied Mathematics
5 point
2.Semester
02613
Python and High-Performance Computing
5 point
12101
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
core competence course on... core competence course on statistics/optimization
5 point
01621
Perturbation theory for differential... Perturbation theory for differential equations
5 point
01238
Differential Geometry
5 point
38402
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
3.Semester
Innovation II
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Study plan with focus on modelling - February start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
02613
Python and High-Performance Computing
5 point
12101
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
core competence course on... core competence course on statistics/optimization
5 point
01238
Differential Geometry
5 point
elective course
5 point
38402
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
2.Semester
01617
Introduction to Dynamical Systems
5 point
core competence course on... core competence course on statistics/optimization
5 point
Innovation II
5 point
02624
Inverse problems and Imaging
5 point
programme specific course
5 point
01257
Advanced Modelling - Applied Mathematics
5 point
3.Semester
01621
Perturbation theory for differential... Perturbation theory for differential equations
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Specializations are merely recommended ways of choosing the courses in the curriculum. Applicants are not admitted to a specialization but to the programme and it is possible to choose among all the courses in the curriculum following the directions given. However, if a specialization has been fulfilled the title of the specialization may be added to the diploma.