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Part 1: 60 ECTS-credits Part 2: 60 ECTS-credits Total: 120 ECTS-credits
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Master of Mathematics: fundamental mathematics (1st part) 1MWIS1-FU
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2010-2011
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| Title | Semester | Theory (hours) | Practice/Exercises (hours) | Credits | Professor(s) | | Foundation courses I major Fundamental mathematics, 36 credits to choose from: | | Compulsory courses, 18 credits: | | Associative algebra | 1st semester | 30,00 | 30,00 | 6 | | | Functional analysis | 1st semester | 30,00 | 30,00 | 6 | | | Advanced calculation of probability | 1st semester | 30,00 | 30,00 | 6 | | | Algebraic topology | 1st semester | 30,00 | 30,00 | 6 | | R. Kieboom | | Freddy Van Oystaeyen |
| | Foundations of mathematics | 1st semester | 30,00 | 30,00 | 6 | | E. Colebunders | | Robert Lowen |
| | Choose 18 credits from: | | Analytical and algebraic number theory | 2nd semester | 30,00 | 30,00 | 6 | | | Arithmetic geometry | 2nd semester | 30,00 | 30,00 | 6 | | | Category theory | 2nd semester | 30,00 | 30,00 | 6 | | | Differential equations and operators | 1st semester | 30,00 | 30,00 | 6 | | | Advanced topology | 1st semester | 30,00 | 30,00 | 6 | | Robert Lowen | | E. Colebunders |
| | Profiling courses major Fundamental mathematics, 24 credits to choose from: | | Algebra | | Homological algebra and derived categories | 2nd semester | 30,00 | 30,00 | 6 | | | Hoph algebras and quantumgroups | 2nd semester | 30,00 | 30,00 | 6 | | | Number theory and cryptography | 1st semester | 30,00 | 30,00 | 6 | | M. Van den Bergh | | Alain Verschoren |
| | Knot theory | 2nd semester | 30,00 | 30,00 | 6 | | | Noncommutative algebra | 2nd semester | 30,00 | 30,00 | 6 | | | Representation theory of algebras | 2nd semester | 30,00 | 30,00 | 6 | | | Semi-Abel categories | 2nd semester | 30,00 | 30,00 | 6 | | | Analysis | | Seminar Analysis and Topology | 2nd semester | 30,00 | 30,00 | 6 | | | Banach and C*-algebra | 2nd semester | 30,00 | 30,00 | 6 | | | Selected topics in topology | 1st semester | 30,00 | 30,00 | 6 | | Robert Lowen | | E. Colebunders |
| | Categoric topology | 2nd semester | 30,00 | 30,00 | 6 | | | Clifford algebra and multidimensional function theory | 2nd semester | 30,00 | 30,00 | 6 | | | Half groups of operators | 2nd semester | 30,00 | 30,00 | 6 | | | Geometry | | Noncommutative geometry and quantumgroups | 2nd semester | 30,00 | 30,00 | 6 | | | Permutation groups and incident geometry | 2nd semester | 30,00 | 30,00 | 6 | | | Seminar noncommutative geometry | 1st and 2nd semester | 60,00 | | 6 | | | Stochastics | | General theory of empirical processes | 2nd semester | 30,00 | 30,00 | 6 | | | Advanced stochastic processes | 1st semester | 30,00 | 30,00 | 6 | | | Robust Inference | 2nd semester | 30,00 | 30,00 | 6 | | | Sequential analysis | 1st semester | 30,00 | 30,00 | 6 | | | Timeseries analysis | 2nd semester | 30,00 | 30,00 | 6 | | | Lévy processes and their applications | 1st and 2nd semester | | | 6 | | | Other | | History of Mathematics | 2nd semester | 30,00 | 30,00 | 6 | | | Advanced numerical methods | 1st semester | 30,00 | 30,00 | 6 | | Annie Cuyt | | Ekaterina Vladislavleva |
| | Mathematical Logic | 2nd semester | 30,00 | 30,00 | 6 | | | Wavelets and applications | 2nd semester | 30,00 | 30,00 | 6 | |
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Master of Mathematics: fundamental mathematics (2nd part) 1MWIS-FU
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2010-2011
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| Title | Semester | Theory (hours) | Practice/Exercises (hours) | Credits | Professor(s) | | Profiling courses major Fundamental mathematics, 30 credits to choose from: | | Algebra | | Homological algebra and derived categories | 2nd semester | 30,00 | 30,00 | 6 | | | Hoph algebras and quantumgroups | 2nd semester | 30,00 | 30,00 | 6 | | | Number theory and cryptography | 1st semester | 30,00 | 30,00 | 6 | | M. Van den Bergh | | Alain Verschoren |
| | Knot theory | 2nd semester | 30,00 | 30,00 | 6 | | | Noncommutative algebra | 2nd semester | 30,00 | 30,00 | 6 | | | Representation theory of algebras | 2nd semester | 30,00 | 30,00 | 6 | | | Semi-Abel categories | 2nd semester | 30,00 | 30,00 | 6 | | | Analysis | | Seminar Analysis and Topology | 2nd semester | 30,00 | 30,00 | 6 | | | Banach and C*-algebra | 2nd semester | 30,00 | 30,00 | 6 | | | Selected topics in topology | 1st semester | 30,00 | 30,00 | 6 | | Robert Lowen | | E. Colebunders |
| | Categoric topology | 2nd semester | 30,00 | 30,00 | 6 | | | Clifford algebra and multidimensional function theory | 2nd semester | 30,00 | 30,00 | 6 | | | Half groups of operators | 2nd semester | 30,00 | 30,00 | 6 | | | Geometry | | Noncommutative geometry and quantumgroups | 2nd semester | 30,00 | 30,00 | 6 | | | Permutation groups and incident geometry | 2nd semester | 30,00 | 30,00 | 6 | | | Seminar noncommutative geometry | 1st and 2nd semester | 60,00 | | 6 | | | Stochastics | | General theory of empirical processes | 2nd semester | 30,00 | 30,00 | 6 | | | Advanced stochastic processes | 1st semester | 30,00 | 30,00 | 6 | | | Robust Inference | 2nd semester | 30,00 | 30,00 | 6 | | | Sequential analysis | 1st semester | 30,00 | 30,00 | 6 | | | Timeseries analysis | 2nd semester | 30,00 | 30,00 | 6 | | | Lévy processes and their applications | 1st and 2nd semester | | | 6 | | | Other | | History of Mathematics | 2nd semester | 30,00 | 30,00 | 6 | | | Advanced numerical methods | 1st semester | 30,00 | 30,00 | 6 | | Annie Cuyt | | Ekaterina Vladislavleva |
| | Mathematical Logic | 2nd semester | 30,00 | 30,00 | 6 | | | Master project | | Master project | onbekend | | | 30 | |
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