| Category | Courses |
|---|---|
| Core Courses | MAS 710 Continuous Methods MAS 711 Discrete Methods MAS 712 Algebraic Methods MAS 713 Mathematical Statistics MAS 714 Algorithms and Theory of Computation |
| Elective (Topic) Courses | MAS 720 Topics in Discrete Mathematics I MAS 721 Topics in Scientific Computation I MAS 722 Topics in Pure Mathematics I MAS 723 Topics in Probability and Statistics I MAS 725 Topics in Discrete Mathematics II MAS 726 Topics in Scientific Computation II MAS 727 Topics in Pure Mathematics II MAS 728 Topics in Probability and Statistics II MAS 740 Topics in Discrete Mathematics III MAS 741 Topics in Scientific Computation III MAS 742 Topics in Pure Mathematics III MAS 743 Topics in Probability and Statistics III |
| Seminar Courses | MAS 790 Graduate Seminar – Discrete Mathematics I MAS 791 Graduate Seminar – Discrete Mathematics II MAS 792 Graduate Seminar – Scientific Computation I MAS 793 Graduate Seminar – Scientific Computation II MAS 794 Graduate Seminar – Pure Mathematics I MAS 795 Graduate Seminar – Pure Mathematics II MAS 796 Graduate Seminar – Statistics I MAS 797 Graduate Seminar – Statistics II |
| Supervised Research |
MPS780 Supervised Research I MPS781 Supervised Research II |
| Course Type | Description |
AUs
|
|---|---|---|
| MAS 710 - Continuous Methods |
Abstract integration (basic topology, general Lebesgue-like integrals and measures), positive Borel measures (Riesz representation theorem for positive linear functionals), Lp-spaces, integration on product spaces, abstract differentiation, holomorphic functions. Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 711 - Discrete Methods |
Enumeration, graph and network algorithms, finite fields and applications, Boolean algebras, polyhedra and Linear Programming, algorithmic complexity Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 712 - Algebraic Methods |
Groups, rings, fields, Courses, basic techniques of Group Theory, Galois Theory Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 713 - Mathematical Statistics |
Review of probability, random variables and their distributions, moments and inequalities; point estimation in parametric setting; point estimation in nonparametric setting; interval estimation and hypothesis test. Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 714 - Algorithms and Theory of Computation | Turing machine, Time complexity, Space complexity, Algorithm design and analysis (greedy, divide and conquer, dynamic programming), Graph algorithms, Network flow. Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 720 - Topics in Discrete Mathematics I |
Topics in Discrete Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Combinatorics, Coding Theory, Cryptography, Network Algorithms, Bioinformatics Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 721 - Topics in Scientific Computation I |
Topics in Scientific Computation will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Functional Analysis, Partial Differential Equations, Computational Fluid Dynamics, Computational Biology Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 722 - Topics in Pure Mathematics I |
Topics in Pure Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Commutative Algebra, Topology, Differential Geometry, Mathematical Logic, Functional Analysis Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 723 - Topics in Probability and Statistics I |
Topics in Statistics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Survival Analysis Theory and Method, Computational Statistics, Time Series Analysis, Statistical Learning etc. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 725 - Topics in Discrete Mathematics II |
Topics in Discrete Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Combinatorics, Coding Theory, Cryptography, Network Algorithms, Bioinformatics Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 726 - Topics in Scientific Computation II |
Topics in Scientific Computation will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Functional Analysis, Partial Differential Equations, Computational Fluid Dynamics, Computational Biology Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 727 - Topics in Pure Mathematics II |
Topics in Pure Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Commutative Algebra, Topology, Differential Geometry, Mathematical Logic, Functional Analysis Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 728 - Topics in Probability and Statistics II |
Topics in Statistics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Survival Analysis Theory and Method, Computational Statistics, Time Series Analysis, Statistical Learning etc. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 740 Topics in Discrete Mathematics III |
Topics in Discrete Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Combinatorics, Coding Theory, Cryptography, Network Algorithms, Bioinformatics Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 741 Topics in Scientific Computation III |
Topics in Scientific Computation will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Functional Analysis, Partial Differential Equations, Computational Fluid Dynamics, Computational Biology Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 742 Topics in Pure Mathematics III |
Topics in Pure Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Commutative Algebra, Topology, Differential Geometry, Mathematical Logic, Functional Analysis Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 743 Topics in Probability and Statistics III |
Topics in Statistics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Survival Analysis Theory and Method, Computational Statistics, Time Series Analysis, Statistical Learning etc. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 790 Graduate Seminar - Discrete Mathematics I |
Topics will be chosen to cover new developments in research in Discrete Mathematics and according to the interests of students Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 791 Graduate Seminar - Discrete Mathematics II |
Topics will be chosen to cover new developments in research in Discrete Mathematics and according to the interests of students Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 792 Graduate Seminar – Scientific Computation I |
Topics will be chosen to cover new developments in research in Scientific Computation and according to the interests of students. Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 793 Graduate Seminar – Scientific Computation II |
Topics will be chosen to cover new developments in research in Scientific Computation and according to the interests of students. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 794 Graduate Seminar – Pure Mathematics I |
Topics will be chosen to cover new developments in research in Pure Mathematics and according to the interests of students. Prerequisite: Approval by Division of Mathematical Sciences |
4 AU |
| MAS 795 Graduate Seminar – Pure Mathematics II |
Topics will be chosen to cover new developments in research in Pure Mathematics and according to the interests of students. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 796 Graduate Seminar – Statistics I |
Topics will be chosen to cover new developments in research in Statistics and according to the interests of students. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MAS 797 Graduate Seminar – Statistics II |
Topics will be chosen to cover new developments in research in Statistics and according to the interests of students. Prerequisite: Approval by Division of Mathematical Sciences Course Information |
4 AU |
| MPS 780 / MPS 781 – Supervised Research I/II |
The purpose of this independent research course is to give the students an opportunity to plan and execute the first stage of the graduate thesis. Each student first selects a topic of his/her interest in close cooperation with the supervisor, conducts a bibliographic research and writes up a proposal (format to be advised by the supervisor). |
4 AU |