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Masters Degrees (Mathematical Physics)

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Working at a frontier of mathematics that intersects with cutting edge research in physics. Mathematicians can benefit from discoveries in physics and conversely mathematics is essential to further excel in the field of physics. Read more

Working at a frontier of mathematics that intersects with cutting edge research in physics.

Mathematicians can benefit from discoveries in physics and conversely mathematics is essential to further excel in the field of physics. History shows us as much. Mathematical physics began with Christiaan Huygens, who is honoured at Radboud University by naming the main building of the Faculty of Science after him. By combining Euclidean geometry and preliminary versions of calculus, he brought major advances to these areas of mathematics as well as to mechanics and optics. The second and greatest mathematical physicist in history, Isaac Newton, invented both the calculus and what we now call Newtonian mechanics and, from his law of gravity, was the first to understand planetary motion on a mathematical basis.

Of course, in the Master’s specialisation in Mathematical Physics we look at modern mathematical physics. The specialisation combines expertise in areas like functional analysis, geometry, and representation theory with research in, for example, quantum physics and integrable systems. You’ll learn how the field is far more than creating mathematics in the service of physicists. It’s also about being inspired by physical phenomena and delving into pure mathematics.

At Radboud University, we have such faith in a multidisciplinary approach between these fields that we created a joint research institute: Institute for Mathematics, Astrophysics and Particle Physics (IMAPP). This unique collaboration has lead to exciting new insights into, for example, quantum gravity and noncommutative geometry. Students thinking of enrolling in this specialisation should be excellent mathematicians as well as have a true passion for physics.

See the website http://www.ru.nl/masters/mathematics/physics

Why study Mathematical Physics at Radboud University?

- This specialisation is one of the few Master’s in the world that lies in the heart of where mathematics and physics intersect and that examines their cross-fertilization.

- You’ll benefit from the closely related Mathematics Master’s specialisations at Radboud University in Algebra and Topology (and, if you like, also from the one in Applied Stochastics).

- Teaching takes place in a stimulating, collegial setting with small groups. This ensures that at Radboud University you’ll get plenty of one-on-one time with your thesis supervisor.

- You partake in the Mastermath programme, meaning you can follow the best mathematics courses, regardless of the university in the Netherlands that offers them. It also allows you to interact with fellow mathematic students all over the country.

- As a Master’s student you’ll get the opportunity to work closely with the mathematicians and physicists of the entire IMAPP research institute.

- More than 85% of our graduates find a job or a gain a PhD position within a few months of graduating. About half of our PhD’s continue their academic careers.

Career prospects

Mathematicians are needed in all industries, including the industrial, banking, technology and service industry and also within management, consultancy and education. A Master’s in Mathematics will show prospective employers that you have perseverance, patience and an eye for detail as well as a high level of analytical and problem-solving skills.

Job positions

The skills learned during your Master’s will help you find jobs even in areas where your specialised mathematical knowledge may initially not seem very relevant. This makes your job opportunities very broad indeed and is why many graduates of a Master’s in Mathematics find work very quickly.

Possible careers for mathematicians include:

- Researcher (at research centres or within corporations)

- Teacher (at all levels from middle school to university)

- Risk model validator

- Consultant

- ICT developer / software developer

- Policy maker

- Analyst

PhD positions

Radboud University annually has a few PhD positions for graduates of a Master’s in Mathematics. A substantial part of our students attain PhD positions, not just at Radboud University, but at universities all over the world.

Our research in this field

The research of members of the Mathematical Physics Department, emphasise operator algebras and noncommutative geometry, Lie theory and representation theory, integrable systems, and quantum field theory. Below, a small sample of the research our members pursue.

Gert Heckman's research concerns algebraic geometry, group theory and symplectic geometry. His work in algebraic geometry and group theory concerns the study of particular ball quotients for complex hyperbolic reflection groups. Basic questions are an interpretation of these ball quotients as images of period maps on certain algebraic geometric moduli spaces. Partial steps have been taken towards a conjecture of Daniel Allcock, linking these ball quotients to certain finite almost simple groups, some even sporadic like the bimonster group.

Erik Koelink's research is focused on the theory of quantum groups, especially at the level of operator algebras, its representation theory and its connections with special functions and integrable systems. Many aspects of the representation theory of quantum groups are motivated by related questions and problems of a group representation theoretical nature.

Klaas Landsman's previous research programme in noncommutative geometry, groupoids, quantisation theory, and the foundations of quantum mechanics (supported from 2002-2008 by a Pioneer grant from NWO), led to two major new research lines:

1. The use of topos theory in clarifying the logical structure of quantum theory, with potential applications to quantum computation as well as to foundational questions.

2. Emergence with applications to the Higgs mechanism and to Schroedinger's Cat (aka as the measurement problem). A first paper in this direction with third year Honours student Robin Reuvers (2013) generated worldwide attention and led to a new collaboration with experimental physicists Andrew Briggs and Andrew Steane at Oxford and philosopher Hans Halvorson at Princeton.

See the website http://www.ru.nl/masters/mathematics/physics

Radboud University Master's Open Day 10 March 2018



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This MSc programme is designed to prepare you for a research career in academia or industry by introducing advanced ideas and techniques that are applicable in a wide range of research areas, while emphasising the underlying physics concepts. Read more

This MSc programme is designed to prepare you for a research career in academia or industry by introducing advanced ideas and techniques that are applicable in a wide range of research areas, while emphasising the underlying physics concepts.

The MSc programme is a core part of the Higgs Centre for Theoretical Physics, which has been created to mark the start of a new era in theoretical physics research, following the discovery of the Higgs boson at CERN. You will take part in the centre’s activities, including weekly seminars, colloquia and workshops involving physicists from around the world, and you will be involved in research-level projects as part of your dissertation.

The partnership between mathematics and physics is an essential one. In theoretical physics we attempt to build abstract constructs that rationalise, explain and predict physical phenomena. To do this we need mathematics: the language of physics. The underlying structure of the physical world can be understood in great detail using mathematics; this is a never-ending source of fascination to theoretical physicists.

Programme structure

Taught courses

You will take two compulsory courses plus a selection of courses that will bring you to an advanced level in subjects such as general relativity, cosmology, statistical physics, condensed matter physics, quantum field theory and the standard model of particle physics. You may also take courses drawn from a wider pool including specialist courses in mathematics, computing and climate science. For the MSc in Mathematical Physics, mathematics courses can account for almost half of the taught course element.

Dissertation

Following the taught component of the programme, you will undertake a three-month research project, which leads to a dissertation.

Learning outcomes

By engaging with and completing the MSc in Mathematical Physics, graduates will acquire core knowledge of theoretical physics subjects and the research methodologies of modern theoretical and mathematical physics.

The programme aims to develop research skills and problem solving skills, especially in mathematics. It also aims to develop an attitude of mind conductive to critical questioning and creative thinking and the capacity to formulate ideas mathematically.

Career opportunities

These degrees are designed to prepare you for a research career by introducing advanced ideas and techniques that are applicable to a wide range of research areas and sectors including academia, industry, education and finance.

Scholarships and funding

Find out more about scholarships and funding opportunities:



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MSc by research in Mathematical Physics. The objective of the structured research programme in Mathematical Physics is to provide. Read more

Overview

MSc by research in Mathematical Physics:
The objective of the structured research programme in Mathematical Physics is to provide:

- A high quality research experience and training
- Enhanced arrangements for supervision and mentorship
- Structured arrangements for the development of generic and transferable skills
- Advanced discipline-specific taught courses
- Regular monitoring of progress

Closing date
Research applications are generally accepted at any time.

Course Structure

Typically the MSc by research takes two years and the student must write a thesis under the supervision of a member of the academic staff. In addition students must take a minimum of 10 credits in taught modules (at least 5 in generic/transferable modules and at least 5 in subject specific/advanced specialist modules) from the Structured PhD programme.

Career Options

Mathematical physicists are in high demand in the job market thanks to their skills in numeracy, analytical and abstract thinking and the application of these skills to solving problems in the real world. Graduates can consider a wide range of careers, including research and teaching in a university, research in a research institute or industrial setting; public sector agencies, the scientific civil service; banking and stock market analysis; business and actuarial work, telecommunications and in all sections of the computer industry. They lead and are at the forefront of scientific discovery and in understanding the universe from the microscopic to the macroscopic, the origin of space-time, quarks, black holes and to astrophysical processes on the scale of the entire universe.

How To Apply

Online application only http://www.pac.ie/maynoothuniversity

PAC Code

MHQ06 MSc Full-time
MHQ07 MSc Part-time


The following information should be forwarded to PAC, 1 Courthouse Square, Galway or uploaded to your online application form:

Certified copies of all official transcripts of results for all non-Maynooth University qualifications listed MUST accompany the application. Failure to do so will delay your application being processed. Non-Maynooth University students are asked to provide two academic references and a copy of birth certificate or valid passport.

Find information on Scholarships here https://www.maynoothuniversity.ie/study-maynooth/postgraduate-studies/fees-funding-scholarships

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Master of Science in Mathematical Science. Students take modules in Mathematical Physics and Mathematics. At least 4 of the modules (at least 45 ECTS) must be taken at the Masters level (level 6 in Mathematical Physics and level 5 in Mathematics). Read more

Overview

Master of Science in Mathematical Science
Students take modules in Mathematical Physics and Mathematics. At least 4 of the modules (at least 45 ECTS) must be taken at the Masters level (level 6 in Mathematical Physics and level 5 in Mathematics). The remaining credits may be made up at levels 4, 5 or 6.

Course Structure

All module choices are subject to the approval of the Head of Department. Level 6 choices for Mathematical Physics are listed below. For other choices see the Mathematics Department modules at level 5 (see MSc in Mathematics MHR52) and Mathematical Physics Department modules at level 4. One of the Masters level modules may be replaced by a minor thesis subject to the approval of the Head of Department. Total credits 60. Modules include Groups, Geometry and Topology for Physics, Quantum Field Theory, Differential Geometry, General Relativity, and advanced special topics in Applied Mathematics and Theoretical Physics.

Career Options

The course provides a solid foundation in Theoretical Physics/Applied Mathematics/Pure Mathematics for students who wish to pursue careers in science, engineering, commerce and technology. Graduates gain employment in a wide range of occupations including research, teaching, actuary, banking, software development, computational physics and computer modelling/simulation. Students who perform well may go on to the PhD programme.

How To Apply

Online application only http://www.pac.ie/maynoothuniversity

PAC Code
MHQ52

The following information should be forwarded to PAC, 1 Courthouse Square, Galway or uploaded to your online application form:

Certified copies of all official transcripts of results for all non-Maynooth University qualifications listed MUST accompany the application. Failure to do so will delay your application being processed. Non-Maynooth University students are asked to provide two academic references and a copy of birth certificate or valid passport.

Find information on Scholarships here https://www.maynoothuniversity.ie/study-maynooth/postgraduate-studies/fees-funding-scholarships

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Students take modules in Mathematical Physics and Mathematics. At least 4 of the modules (at least 45 ECTS) must be taken at the Masters level (level 6 in Mathematical Physics and level 5 in Mathematics). Read more

Overview

Students take modules in Mathematical Physics and Mathematics. At least 4 of the modules (at least 45 ECTS) must be taken at the Masters level (level 6 in Mathematical Physics and level 5 in Mathematics). The remaining credits may be made up at levels 4, 5 or 6.

See the website https://www.maynoothuniversity.ie/mathematical-physics/our-courses/msc-mathematical-science-pt

Course Structure

All module choices are subject to the approval of the Head of Department. Level 6 choices for Mathematical Physics are listed below. For other choices see the Mathematics Department modules at level 5 (see MSc in Mathematics MHR52) and Mathematical Physics Department modules at level 4. One of the Masters level modules may be replaced by a minor thesis subject to the approval of the Head of Department. Total credits 60. Modules include Groups, Geometry and Topology for Physics, Quantum Field Theory, Differential Geometry, General Relativity, and advanced special topics in Applied Mathematics and Theoretical Physics.

Career Options

The course provides a solid foundation in Theoretical Physics/Applied Mathematics/Pure Mathematics for students who wish to pursue careers in science, engineering, commerce and technology. Graduates gain employment in a wide range of occupations including research, teaching, actuary, banking, software development, computational physics and computer modelling/simulation. Students who perform well may go on to the PhD programme.

How To Apply

Online application only http://www.pac.ie/maynoothuniversity

PAC Code
MHQ53

The following information should be forwarded to PAC, 1 Courthouse Square, Galway or uploaded to your online application form:

Certified copies of all official transcripts of results for all non-Maynooth University qualifications listed MUST accompany the application. Failure to do so will delay your application being processed. Non-Maynooth University students are asked to provide two academic references and a copy of birth certificate or valid passport.

Find information on Scholarships here https://www.maynoothuniversity.ie/study-maynooth/postgraduate-studies/fees-funding-scholarships

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The course is run jointly by the. Mathematical Institute. and the. Department of Physics. It provides a high-level, internationally competitive training in mathematical and theoretical physics, right up to the level of modern research. Read more

The course is run jointly by the Mathematical Institute and the Department of Physics. It provides a high-level, internationally competitive training in mathematical and theoretical physics, right up to the level of modern research. It covers the following main areas:

  • quantum field theory, particle physics and string theory
  • theoretical condensed matter physics,
  • theoretical astrophysics, plasma physics and physics of continuous media
  • mathematical foundations of theoretical physics

The course concentrates on the main areas of modern mathematical and theoretical physics: elementary-particle theory, including string theory, condensed matter theory (both quantum and soft matter), theoretical astrophysics, plasma physics and the physics of continuous media (including fluid dynamics and related areas usually associated with courses in applied mathematics in the UK system). If you are a physics student with a strong interest in theoretical physics or a mathematics student keen to apply high-level mathematics to physical systems, this is a course for you.

The course offers considerable flexibility and choice; you will be able to choose a path reflecting your intellectual tastes or career choices. This arrangement caters to you if you prefer a broad theoretical education across subject areas or if you have already firmly set your sights on one of the subject areas, although you are encouraged to explore across sub-field boundaries.

You will have to attend at least ten units' worth of courses, with one unit corresponding to a 16-hour lecture course or equivalent. You can opt to offer a dissertation as part of your ten units. Your performance will be assessed by one or several of the following means: 

  • invigilated written exams
  • course work marked on a pass/fail basis
  • take-home exams
  • mini-projects due shortly after the end of the lecture course.

The modes of assessment for a given course are decided by the course lecturer and will be published at the beginning of each academic year. As a general rule, foundational courses will be offered with an invigilated exam while some of the more advanced courses will typically be relying on the other assessment methods mentioned above. In addition, you will be required to give an oral presentation towards the end of the academic year which will cover a more specialised and advanced topic related to one of the subject areas of the course. At least four of the ten units must be assessed by an invigilated exam and, therefore, have to be taken from lecture courses which provide this type of assessment. A further three units must be assessed by invigilated written exam, take-home exam or mini-project. Apart from these restrictions, you are free to choose from the available programme of lecture courses.

The course offers a substantial opportunity for independent study and research in the form of an optional dissertation (worth at least one unit). The dissertation is undertaken under the guidance of a member of staff and will typically involve investigating and write in a particular area of theoretical physics or mathematics, without the requirement (while not excluding the possibility) of obtaining original results.



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The program deepens the knowledge of basic elements of modern physics (atomic and molecular physics, solid state physics, nuclear and particle physics, astrophysics) and of theoretical physics (analytical mechanics, quantum mechanics, mathematical and numerical methods). Read more

The program deepens the knowledge of basic elements of modern physics (atomic and molecular physics, solid state physics, nuclear and particle physics, astrophysics) and of theoretical physics (analytical mechanics, quantum mechanics, mathematical and numerical methods). It is possible to strengthen the knowledge of specific fields like biophysics, nanoscience, physics of matter, nuclear and particle physics, physics of the fundamental interactions, astrophysics. Finally, the program provides direct experience of the laboratory techniques and computer calculation techniques and data analysis.

The graduate in Physics will know and understand the most relevant phenomena of the physical world at different scales, starting from the macroscopic world down to the atomic physics, the physics of condensed matter, nuclear and subnuclear physics up to the physics of the universe. The understanding of the physical world will be based on experimental evidence and a proper use of the theoretical modelling and its mathematical instruments, including numerical techniques.

Course structure

The second-cycle degree in Physics is divided in three curricula to be chosen by the student: Physics of the fundamental interactions, Physics of matter and Physics of the universe. For further information please check: http://en.didattica.unipd.it

Career opportunities

The graduate in Physics can have jobs opportunities in Italy and abroad in industries involving new technologies regardless of the final products, in service companies aiming to innovation and, more generally, in all activities requiring understanding and modelling of processes and ability in analysis and testing. These include startups and high tech industries, software and consulting companies, research centers and public administration. They can also teach physics and mathematics in schools of different levels.

Scholarships and Fee Waivers

The University of Padova, the Veneto Region and other organisations offer various scholarship schemes to support students. Below is a list of the funding opportunities that are most often used by international students in Padova.

You can find more information below and on our website here: http://www.unipd.it/en/studying-padova/funding-and-fees/scholarships

You can find more information on fee waivers here: http://www.unipd.it/en/fee-waivers



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What is the Master of Physics all about?. The programme aims to train physicists capable of working in research institutes or corporate environments. Read more

What is the Master of Physics all about?

The programme aims to train physicists capable of working in research institutes or corporate environments. Upon successful completion of the programme, students will have acquired:

  • thorough knowledge of physics in general as well as more in-depth knowledge of at least one specialized area;
  • the ability to make sound judgments informed by current research;
  • the ability to gain new insights and results and to develop new methods;
  • the ability to solve physical problems using the most appropriate experimental and/or theoretical methods and to report on research findings;
  • the ability to structure and analyse specific problems in different situations;
  • strong teamwork skills;
  • the ability to communicate findings and insights;
  • a critical understanding of the role that physics plays in society.

This is an initial Master's programme and can be followed on a full-time or part-time basis.

Structure

After a semester with advanced courses in different disciplines of physics, you choose a major research specialization consisting of advanced and specialized courses and a master’s thesis of 30 ECTS.

The remaining 30 ECTS allow you to follow one of two options: Research or Physics in Society.

  • The Research option prepares you for a research career in academia or industry. You broaden your research skills by choosing a minor research domain, including at least 12 ECTS courses from that domain and complemented by a research internship or with other courses.
  • The Physics and Society option offers you the opportunity to prepare for a career as a physicist outside academia, through courses preparing you for entrepreneurship or via an internship in a company.

Department

The mission of the Department of Physics and Astronomy is exploring, understanding and modelling physical realities using mathematical, computational, experimental and observational techniques. Fifteen teams perform research at an international level. Publication of research results in leading journals and attracting top-level scientists are priorities for the department.

New physics and innovation in the development of new techniques are important aspects of our mission. The interaction with industry (consulting, patents...) and society (science popularisation) are additional points of interest. Furthermore, the department is responsible for teaching basic physics courses in several study programmes.

Objectives

The master students will grow into independent and critical scientists. Masters of physics will have developed sufficient knowledge and skills to participate in competitive national or international PhD programmes. Moreover the acquired research methodology will prepare the student for employment as a scientist in any chosen profession.

The curriculum is constructed in a way that the student can specialize in an area of choice by joining one of the research groups of the department. This specialization can be in the field of nuclear physics, condensed matter physics ortheoretical physics. A major part of the curriculum consists of research resulting in a master thesis. The subject of the thesis is chosen by the student during the course of the second semester of the 1st Master year and students join a research team from the 3th semester onwards.

The students can choose an option to prepare themselves better for a future in research or in industry or society related fields.

In the option "research" the student can take courses from another research specialization than its major one, which can be accompanied by an internship in one of the research teams of this minor discipline. As such our students have the possibility to broaden their knowledge in at least two scientific disciplines (in physics or a related field), which is invaluable when a further research career in or out of academia is considered.

In the option "Physics for society" students can choose for an internship of a full semester in a company or they can take courses from the LCIE Entrepreneurship Academy who wants to prepare academics for entrepreneurschip.

The Erasmus programme of the European Union offers an excellent opportunity for Belgian students who would like to combine their study with experience outside the KU Leuven. All research groups of the department have a network of European collaborators and we advise interested students to integrate this exchange with their thesis research during their second Master year. Choices concerning the Erasmus programme need to be made in December of the 1st Master year. Address the Erasmus coordinator to obtain specific information on this European programme.

Career perspectives

The Department of Physics and Astronomy at KU Leuven generates substantial research funding. Consequently, many research positions are available, and more than half the students obtaining a master’s degree in physics eventually start a PhD programme in one of the department’s research groups.

A number of graduates prefer to pursue a second master’s degree, with medical radiation physics, environmental sciences, and statistics as the most popular subjects. There are also excellent career opportunities in industry (ICT, material research, electronics), consulting, government, banking (statistics), and higher education. Unemployment is nonexistent among newly graduated physicists.



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The Department gives MSc students an opportunity to study and perform a research project under the supervision of recognized experts and to acquire specialist knowledge of one or a few topics at the cutting edge of contemporary physics. Read more
The Department gives MSc students an opportunity to study and perform a research project under the supervision of recognized experts and to acquire specialist knowledge of one or a few topics at the cutting edge of contemporary physics.

The project will be devoted to one of several topical areas of modern physics including high-temperature superconductivity, terahertz semiconductor and superconductor electronics, quantum computing and quantum metamaterials, physics of extreme conditions and astrophysics.

Core study areas currently include mathematical methods for interdisciplinary sciences, research methods in physics, superconductivity and nanoscience and a research project.

Optional study areas currently include characterisation techniques in solid state physics, quantum information, advanced characterisation techniques, quantum computing, and physics of complex systems.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/advanced-physics/

Programme modules

Compulsory Modules:
- Mathematical Methods for Interdisciplinary Sciences
- Research Methods in Physics
- Superconductivity and Nanoscience
- Research Project Part 1
- Research Project Part 2

Optional Modules:
- Characterisation Techniques in Solid State Physics
- Fundamentals of Quantum Information
- Matlab as a Scientific Programming Language
- Advanced Characterisation Techniques
- Quantum Computing
- Physics of Complex systems

Learning and teaching

Knowledge and understanding are acquired through lectures, tutorials, problem classes and guided independent study. Assessment in taught modules is by a combination of examination and coursework. The MSc includes a significant research project completed through guided independent study with a research supervisor.

Careers and further study

The aim of the course is to equip students with key skills they need for employment in industry, public service or academic research.

Why choose physics at Loughborough?

We are a community of approximately 170 undergraduates, 30 postgraduates, 16 full-time academic staff, seven support staff, and several visiting and part-time academic staff.

Our large research student population and wide international links make the Department a great place to work.

- Research
Our research strengths are in the areas of condensed matter and materials, with a good balance between theory and experiment.
The quality of our researchers is recognised internationally and we publish in highly ranked physics journals; one of our former Visiting Professors, Alexei Abrikosov, was awarded the 2003 Nobel Prize in Physics.

- Career Prospects
100% of our graduates were in employment and/or further study six months after graduating. They have gone on to work with companies such as BT, Nikon Metrology, Prysmian Group, Rutherford Appleton Laboratory ISIS and Smart Manufacturing Technology.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/advanced-physics/

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This programme is aimed at graduates whose level of mathematical training is high, but below that of the BSc Degree Honours in Mathematics or Mathematical Physics, and who have demonstrated mathematical flair. Read more
This programme is aimed at graduates whose level of mathematical training is high, but below that of the BSc Degree Honours in Mathematics or Mathematical Physics, and who have demonstrated mathematical flair. It enables them to reach in one year a level of mathematical knowledge equivalent to that of BSc Honours graduates and thus, in particular, qualifies them to enter the MSc degree in Mathematics, Mathematical Physics or Mathematical Sciences.

Students in the programme choose one of two streams:

The Applied and Computational Mathematics Stream
The Mathematics Stream

The programme extends over two semesters and involves 60 credits of taught modules.

This programme runs full time for one academic year - September to May (2 semesters)
This programme runs part time for two academic years - September to May (4 semesters)

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The MSc in Mathematical Sciences is a one-year (12 months) full-time programme which allows a student to combine graduate-level modules in one or more of the disciplines of the school (Actuarial Science and Statistics, Mathematics, Applied Mathematics/Mathematical Physics). Read more
The MSc in Mathematical Sciences is a one-year (12 months) full-time programme which allows a student to combine graduate-level modules in one or more of the disciplines of the school (Actuarial Science and Statistics, Mathematics, Applied Mathematics/Mathematical Physics). It consists of 60 credits of taught modules in Mathematics, Statistics, Mathematical Physics or Applied Mathematics, and 30 credits assigned to the writing of a dissertation as well as active participation in a research seminar.

September to August (full time) - 1 year or 3 semesters
September to August (part time) - 2 years or 6 semesters

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We have a long history of internationally recognized research in the study and development of new materials. Read more
We have a long history of internationally recognized research in the study and development of new materials. This course gives the possibility of working with and learning from expert researchers in the physics of materials in a friendly and vibrant research atmosphere provided by the international team of scientists at the Department of Physics.

This programme contains a combination of supervised research work, development of research skills and taught material. The programme involves a set of taught modules and an experimental or theoretical research project.

The theme of the project will be dedicated to one of the topical areas in physics of materials including graphene-based materials, thin film materials, shape memory compounds or nanomaterials or experimental study of properties of materials.

Core study areas mathematical methods for interdisciplinary sciences, research methods in physics, superconductivity and nanoscience, characterisation techniques in solid state physics, and a research project.

Optional study areas include polymer properties, polymer science, advanced characterisation techniques, simulation of advanced materials and processes, and materials modelling.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/physics-materials/

Programme modules

Compulsory Modules:
- Mathematical Methods for Interdisciplinary Sciences
- Research Methods in Physics
- Superconductivity and Nanoscience
- Research Project Part 1
- Research Project Part 2
- Characterisation Techniques in Solid State Physics

Optional Modules:
- Polymer Properties
- Polymer Science
- Advanced Characterisation Techniques
- Simulation of Advanced Materials and Processes
- Materials Modelling

Learning and teaching

Knowledge and understanding are acquired through lectures, tutorials, problem classes and guided independent study. Assessment in taught modules is by a combination of examination and coursework. The MSc includes a significant research project completed through guided independent study with a research supervisor.

Careers and further study

The aim of the course is to equip students with key skills they need for employment in industry, public service or academic research.

Why choose physics at Loughborough?

We are a community of approximately 170 undergraduates, 30 postgraduates, 16 full-time academic staff, seven support staff, and several visiting and part-time academic staff.

Our large research student population and wide international links make the Department a great place to work.

- Research
Our research strengths are in the areas of condensed matter and materials, with a good balance between theory and experiment.
The quality of our researchers is recognised internationally and we publish in highly ranked physics journals; one of our former Visiting Professors, Alexei Abrikosov, was awarded the 2003 Nobel Prize in Physics.

- Career Prospects
100% of our graduates were in employment and/or further study six months after graduating. They have gone on to work with companies such as BT, Nikon Metrology, Prysmian Group, Rutherford Appleton Laboratory ISIS and Smart Manufacturing Technology.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/physics-materials/

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The University of Dundee has a long history of mathematical biology, going back to Professor Sir D'Arcy Wentworth Thompson, Chair of Natural History, 1884-1917. Read more

Mathematical Biology at Dundee

The University of Dundee has a long history of mathematical biology, going back to Professor Sir D'Arcy Wentworth Thompson, Chair of Natural History, 1884-1917. In his famous book On Growth and Form (where he applied geometric principles to morphological problems) Thompson declares:

"Cell and tissue, shell and bone, leaf and flower, are so many portions of matter, and it is in obedience to the laws of physics that their particles have been moved, molded and conformed. They are no exceptions to the rule that God always geometrizes. Their problems of form are in the first instance mathematical problems, their problems of growth are essentially physical problems, and the morphologist is, ipso facto, a student of physical science."

Current mathematical biology research in Dundee continues in the spirit of D'Arcy Thompson with the application of modern applied mathematics and computational modelling to a range of biological processes involving many different but inter-connected phenomena that occur at different spatial and temporal scales. Specific areas of application are to cancer growth and treatment, ecological models, fungal growth and biofilms. The overall common theme of all the mathematical biology research may be termed"multi-scale mathematical modelling" or, from a biological perspective, "quantitative systems biology" or"quantitative integrative biology".

The Mathematical Biology Research Group currently consists of Professor Mark Chaplain, Dr. Fordyce Davidson and Dr. Paul Macklin along with post-doctoral research assistants and PhD students. Professor Ping Lin provides expertise in the area of computational numerical analysis. The group will shortly be augmented by the arrival of a new Chair in Mathematical Biology (a joint Mathematics/Life Sciences appointment).

As a result, the students will benefit directly not only from the scientific expertise of the above internationally recognized researchers, but also through a wide-range of research activities such as journal clubs and research seminars.

Aims of the programme

1. To provide a Masters-level postgraduate education in the knowledge, skills and understanding of mathematical biology.
2. To enhance analytical and critical abilities and competence in the application of mathematical modeling techniques to problems in biomedicine.

Prramme Content

This one year course involves taking four taught modules in semester 1 (September-December), followed by a further 4 taught modules in semester 2 (January-May), and undertaking a project over the Summer (May-August).

A typical selection of taught modules would be:

Dynamical Systems
Computational Modelling
Statistics & Stochastic Models
Inverse Problems
Mathematical Oncology
Mathematical Ecology & Epidemiology
Mathematical Physiology
Personal Transferable Skills

Finally, all students will undertake a Personal Research Project under the supervision of a member of staff in the Mathematical Biology Research Group.

Methods of Teaching

The programme will involve a variety of teaching formats including lectures, tutorials, seminars, journal clubs, case studies, coursework, and an individual research project.

Taught sessions will be supported by individual reading and study.

Students will be guided to prepare their research project plan and to develop skills and competence in research including project management, critical thinking and problem solving, project reporting and presentation.

Career Prospects

The Biomedical Sciences are now recognizing the need for quantitative, predictive approaches to their traditional qualitative subject areas. Healthcare and Biotechnology are still fast-growing industries in UK, Europe and Worldwide. New start-up companies and large-scale government investment are also opening up employment prospects in emerging economies such as Singapore, China and India.

Students graduating from this programme would be very well placed to take advantage of these global opportunities.

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The objective of this programme of study is to prepare professionals able to deal with complex systems using sophisticated mathematical tools, yet with an engineering attitude. Read more

Mission and goals

The objective of this programme of study is to prepare professionals able to deal with complex systems using sophisticated mathematical tools, yet with an engineering attitude. It harmonises a solid scientific background with a command of advanced methodologies and technologies. The programme is characterised by a continuous synergy between Applied Mathematics and Engineering disciplines- The students may choose among three specialisations:
- Computational Science and Engineering
- Applied Statistics
- Quantitative Finance

See the website http://www.polinternational.polimi.it/educational-offer/laurea-magistrale-equivalent-to-master-of-science-programmes/mathematical-engineering/

Career opportunities

The professional opportunities offered by this course are rather ample and varied: engineering consultancy companies that deal with complex computational problems; manufacturing or civil engineering companies where analyses based on the use of advanced mathematical tools are needed; banks, insurance companies and financial institutions making use of quantitative finance for risk analysis or forecast; companies that require statistical interpretation and the processing of complex data, or the simulation of different scenarios; public and private research institutes and laboratories.

Eligible students

Students holding a Bachelor degree in Mathematical Engineering, or in a related area with a solid background in the core disciplines of the programme, i.e. Applied Mathematics, Computer Science, Applied Physics or other Engineering disciplines are eligible for application. In particular, eligible students' past studies must include courses in different areas of Engineering (among Informatics, Economics & Business Organization, Electrotechnics, Automation, Electronics, Applied Physics, Civil Engineering) for at least 25% of the overall courses, as well as courses in different areas of Mathematics (Mathematical Analysis, Linear Algebra, Geometry, Probability, Statistics, Numerical Analysis, Optimization) for at least 33% of the overall courses.
The following tracks are available:
1. Computational Science and Engineering
2. Applied Statistics
3. Quantitative Finance

Eligible students must clearly specify the track they are applying for in their motivation letter.

Presentation

See http://www.polinternational.polimi.it/uploads/media/Mathematical_Engineering.pdf
The Master of Science in Mathematical Engineering (MSME) aims to form an innovative and flexible professional profile, endowed with a wide spectrum of basic scientific notions and engineering principles, together with a deep knowledge of modern pure and applied mathematical techniques. MSME is characterized by a continuous synergy between Mathematics and Engineering methods, oriented to the modelling, analysis and solution of complex planning, control and management problems, and provides the students with the possibility to face problems from various scientific, financial and/or technological areas. The MSME graduates can find employment in Engineering companies specialized in handling complex computational problems, requiring a multidisciplinary knowledge; in companies manufacturing industrial goods for which design analysis based on the use of advanced mathematical procedures are required; in service societies, banks, insurance companies, finance or consultant agencies for the statistical interpretation and the simulation of complex situations related to the analysis of large number of data (e.g. management and optimization of services, data mining, information retrieval) or for handling financial products and risk management; in public and private institutions. The programme is taught in English.

Subjects

Three main tracks available:
1. Computational Science for Engineering
Real and functional analysis; algorithms and parallel programming; numerical and theoretical analysis for partial differential equations; fluid mechanics; computational fluid dynamics advanced programming techniques for scientific computing;

2. Statistics
Real and functional analysis; algorithms and parallel programming; stochastic dynamical models; applied statistics, model identification and data analysis; Bayesian statistics

3. Mathematical Finance
Real and functional analysis; algorithms and parallel programming; stochastic differential equations; mathematical finance; financial engineering; model identification and data analysis.

In the motivation letter the student must clearly specify the track he/she is applying for.

See the website http://www.polinternational.polimi.it/educational-offer/laurea-magistrale-equivalent-to-master-of-science-programmes/mathematical-engineering/

For contact information see here http://www.polinternational.polimi.it/educational-offer/laurea-magistrale-equivalent-to-master-of-science-programmes/mathematical-engineering/

Find out how to apply here http://www.polinternational.polimi.it/how-to-apply/

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Our MSc Theoretical Physics programme will provide you with exposure to a very wide range of world-leading teaching and research skills. Read more

Our MSc Theoretical Physics programme will provide you with exposure to a very wide range of world-leading teaching and research skills. As well as the wide range of modules offered by the Department of Mathematics, many optional modules are available from across the University of London, subject to approval. King's will offer you a unique module in 'General Research Techniques' which will prepare you for life as a research scientist. You will also undertake an extended research project supervised by one of our academic staff.

Key benefits

  • This intensive programme covers basic topics in theoretical and mathematical physics such as general relativity and quantum field theory, and leads to advanced topics such as string theory, supersymmetry and integrable quantum field theory.
  • Intimate class environment with small class sizes (typically fewer than 30 students per module) allows good student-lecturer interactions.
  • A full 12-month course with a three-month supervised summer project to give a real introduction to research.

Description

This programme covers topics like string theory, quantum field theory, supersymmetry, general relativity, and conformal and integrable field theory. Students gain a coherent, comprehensive introduction to the building blocks of modern theoretical physics. Students study at least eight taught modules and develop individual projects in areas of current research. The programme ideally prepares students for active research.

Course purpose

The MSc Theoretical Physics programme provides experience of research in rapidly developing areas of theoretical and mathematical physics and related disciplines. The programme provides experience of the planning, administration, execution and dissemination of research, and will equip you with the background knowledge and transferable and generic skills required to become an effective researcher.

Course format and assessment

We use lectures, seminars and group tutorials to deliver most of the modules on the programme. You will also be expected to undertake a significant amount of independent study.

Each module in your degree is worth a number of credits: you are expected to spend approximately 10 hours of effort for each credit (so for a typical module of 15 credits this means 150 hours of effort). These hours cover every aspect of the module: lectures, tutorials, labs (if any), independent study based on lecture notes, tutorial preparation and extension, lab preparation and extension, coursework preparation and submission, examination revision and preparation, and examinations. 

Assessment

Assessment methods will depend on the modules selected. The primary method of assessment for this course is written examination. You may also be assessed by class tests, essays, assessment reports and oral presentations.



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