Dynamischer Default-Fachbereich geändert auf MAT

Module-Pool MAT-RM-MPOOL-7

Pure Mathematics (Advanced Modules M.Sc.) ([4.5 - 9.0] CP)

Basedata

CP	[4.5 - 9.0] CP
Level	[7] Master (Advanced)
Livecycle-State	[NORM] Active

Notice

Modules from this catalogue may only be included in the section "Pure Mathematics" (or "General Mathematics") of the mathematical Master's programmes if they are not directly attributable to the chosen mathematical specialization (i.e. included in the module catalogue for the chosen specialization).

Modules in the Pool

Number	Name	Semester orientation	CP
Area of study Algebra, Geometry and Computer Algebra
MAT-40-12-M-7	Algebraic Geometry	1 Sem., in WiSe	9.0 CP
MAT-40-13-M-7	Algorithmic Number Theory	1 Sem., irreg.	9.0 CP
MAT-40-17-M-7	Group Theory	1 Sem., irreg.	9.0 CP
MAT-41-11-M-7	Computer Algebra	1 Sem., irreg. SuSe	9.0 CP
MAT-41-14-M-7	Singularity Theory	1 Sem., irreg.	9.0 CP
MAT-41-18-M-7	Class Groups in Cryptography	1 Sem., irreg.	4.5 CP
MAT-41-20-M-7	Cohen-Macaulay and Gorenstein Rings	1 Sem., irreg.	9.0 CP
MAT-41-21-M-7	Curves in Projective Space	1 Sem., irreg.	4.5 CP
MAT-41-22-M-7	Plane Curve Singularities	1 Sem., irreg.	4.5 CP
MAT-42-13-M-7	Geometry of Schemes	1 Sem., irreg.	4.5 CP
MAT-42-15-M-7	Tropical Geometry	1 Sem., irreg.	4.5 CP
MAT-42-22-M-7	Complex Manifolds and Hodge Theory	1 Sem., irreg.	4.5 CP
MAT-43-12-M-7	Representation Theory	1 Sem., irreg.	9.0 CP
MAT-43-13-M-7	Lie Algebras	1 Sem., irreg.	9.0 CP
MAT-43-20-M-7	Algebraic Groups	1 Sem., irreg.	9.0 CP
MAT-43-21-M-7	Finite Groups of Lie Type	1 Sem., irreg.	4.5 CP
MAT-43-22-M-7	Algebraic Number Theory	1 Sem., irreg.	9.0 CP
MAT-43-24-M-7	Cohomology of Groups	1 Sem., irreg.	9.0 CP
MAT-43-25-M-7	Algebraic Groups II	1 Sem., irreg.	4.5 CP
MAT-43-26-M-7	Reflection Groups	1 Sem., irreg.	4.5 CP
MAT-43-27-M-7	Lie Algebras and their Representation Theory	1 Sem., irreg.	9.0 CP
MAT-43-28-M-7	Homotopy Theory	1 Sem., irreg.	4.5 CP
MAT-44-11-M-7	Algorithmic Invariant Theory	1 Sem., irreg.	4.5 CP

Area of study Optimisation
MAT-52-11-M-7	Graphs and Algorithms	1 Sem., irreg.	9.0 CP
MAT-59-12-M-7	Probability and Algorithms	1 Sem., in WiSe	9.0 CP

Area of study Stochastics/Statistics/Financial Mathematics
MAT-62-18-M-7	Stochastic Geometry	1 Sem., irreg.	4.5 CP

Area of study Analysis and Stochastics
MAT-64-11-M-7	Stochastic Differential Equations	1 Sem., irreg. WiSe	9.0 CP
MAT-64-12-M-7	Malliavin Calculus and Applications	1 Sem., irreg.	4.5 CP
MAT-64-13-M-7	Introduction to Stochastic Partial Differential Equations	1 Sem., irreg.	4.5 CP
MAT-64-14-M-7	Numerics of Stochastic Processes	1 Sem., irreg.	4.5 CP
MAT-64-15-M-7	High-Dimensional Integration	1 Sem., irreg.	4.5 CP
MAT-64-16-M-7	High-Dimensional Integration: Function Spaces, Algorithms, and Complexity	1 Sem., irreg.	9.0 CP
MAT-65-12-M-7	Fourier Analysis with Applications in Image Processing	1 Sem., irreg.	9.0 CP
MAT-65-14-M-7	Distributions and Wavelets	1 Sem., irreg.	4.5 CP
MAT-70-12A-M-7	Introduction to the Theory of Sobolev Spaces	1 Sem., irreg.	4.5 CP
MAT-70-12-M-7	Sobolev Spaces	1 Sem., irreg.	9.0 CP
MAT-70-14-M-7	Nonlinear Functional Analysis with Applications to PDE	1 Sem., irreg.	4.5 CP
MAT-71-11-M-7	Introduction to the Theory of Dirichlet Forms	1 Sem., irreg.	9.0 CP
MAT-71-12A-M-7	Introduction to White Noise Analysis	1 Sem., irreg.	4.5 CP
MAT-71-12-M-7	White Noise Analysis	1 Sem., irreg.	9.0 CP
MAT-71-13-M-7	Operator Semigroups and Applications to PDE	1 Sem., irreg.	9.0 CP

Area of study Industrial Mathematics
MAT-81-31-M-7	Theory of Hyperbolic Conservation Laws	1 Sem., irreg.	4.5 CP
MAT-81-36-M-7	Mathematical Analysis of Linear PDEs	1 Sem., irreg.	9.0 CP
MAT-82-16-M-7	Infinite Dimensional Systems and Control Theory	1 Sem., irreg.	4.5 CP

References to Module Pool [MAT-RM-MPOOL-7]

Course of Study	Section	Choice/Obligation
[MAT-88.105-SG] M.Sc. Mathematics	Pure Mathematics	[WP] Compulsory Elective
[MAT-88.118-SG] M.Sc. Industrial Mathematics	General Mathematics	[WP] Compulsory Elective
[MAT-88.276-SG] M.Sc. Business Mathematics	General Mathematics	[WP] Compulsory Elective
[MAT-88.706-SG] M.Sc. Mathematics International	Pure Mathematics	[WP] Compulsory Elective