{"id":3227,"date":"2021-12-13T11:46:54","date_gmt":"2021-12-13T10:46:54","guid":{"rendered":"http:\/\/gradschool.eiphi.ubfc.fr\/?page_id=3227"},"modified":"2025-01-08T15:51:08","modified_gmt":"2025-01-08T14:51:08","slug":"advanced-mathematics","status":"publish","type":"page","link":"https:\/\/gradschool.eiphi.ubfc.fr\/?page_id=3227","title":{"rendered":"Advanced Mathematics"},"content":{"rendered":"\n

Master in Advanced Mathematics
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The program \u00ab\u00a0Master in Advanced Mathematics\u00a0\u00bb is created to prepare graduate students for PhD studies. It is specialized in the domains of research of the five teams of the Laboratory of Mathematics of Besan\u00e7on\u00a0:\u00a0functional analysis<\/a>,\u00a0numerical analysis and scientific computing<\/a>,\u00a0partial differential equations<\/a>,\u00a0probability and statistics<\/a>,\u00a0number theory<\/a>.<\/p><\/p>\n\n\n\n

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Master 1
Fall Semester<\/td>		Master 1
Spring Semester<\/td><\/tr>

Complex Analysis
Advanced Differential Equations
Class Field Theory
Group Representation
Toplogy
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3 among :
Advanced Algebra
Fourier Analysis
Numerical Analysis
Probability & Modeling
+ French courses
+ Research Project<\/td><\/tr><\/tbody><\/table>

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Master 2
Fall Semester<\/td>		Master 2
Spring Semester<\/td><\/tr>
2 mandatory courses : Students\u2019 seminar, Professional project workshop.
Introduction to research : 1 mini-project, mandatory.
3 courses to choose from :
Algebra, general course (in French) ;
Analysis, general course (in French) ;
Stochastic modelling, general course (in French) ;
Functional analysis, fundamental course ;
Numerical analysis and scientific computing, fundamental course ;
Partial differential equations, fundamental course ;
Probability and statistics, fundamental course ;
Number theory, fundamental course.
The rule is at most 2 general courses and thus 1 to 3 fundamental ones.
<\/td>		1 Master thesis, in one of the 5 domains corresponding to fundamental courses.
1 course to choose from :
Functional analysis, specialized course ;
Numerical analysis and scientific computing, specialized course ;
Partial differential equations, specialized course ;
Probability and statistics, specialized course ;
Number theory, specialized course.
Exact contents of the specialized courses is adapted to the research projects of the students.
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Main research areas:<\/strong><\/h4>\n\n\n\n