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| | Graduate Programs in Mathematics |
 | | Review of essentials of probability theory, subjective probability and utility theory, statistical decision problems, a comparison game theory and decision theory, main theorems of decision theory with emphasis on Bayer and minimax decision rules, distribution and sufficient statistics, invariant statistical decision problem, testing hypotheses, the Newton-Pearson lemma, sequential decision problem. |
| | Normed and Banach spaces, Lp-spaces and duals, Hahn-Banach theorem, category and uniform boundedness theorem, strong, weak and weak*-convergence, open mapping theorem, closed graph theorem. |
| | Submanifolds, fundamental theorem for hypersurfaces, variations of the length integral, Jacobi fields, comparison theorem, Morse index theorem, almost complex and complex manifolds, Hermitian and Kaehlerian metrics, homogeneous spaces, symmetric spaces and symmetric Lie algebra, characteristic classes. |
| www.boun.edu.tr /graduate/sciences_and_engineering/mathematics.html (1655 words) |
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