In addition, there is a certificate in actuarial mathematics offered upon completion of the courses described under this heading. equation, 2014 (co-supervised with A. Boysal). Prerequisite: MATH 331 or consent of the instructor. MATH 490 Project (1+0+4) 3 ECTS 6 The buildings had been in very bad condition and were brought to life by the initiative of Betül Tanbay (Boğaziçi University Mathematics Department), the first codirector of IMBM. MATH 131 Calculus of a single variable (4+2+0) 4 ECTS 8 My daily driver is the wonderful arch-based linux distro Manjaro. Boğaziçi University Department of Mathematics TR-34342 Bebek, Istanbul, TURKEY ()Phone: +90 212 359 6602 Fax: +90 212 287 7173 E-mail: math boun.edu.tr MATH 437 Optimization Theory (3+2+0) 3 Highly recommended reading if you are interested in the topic as a Prerequisite: Consent of the instructor. MATH 363 Graph Theory (3+2+0) 3 ECTS 6
MATH 404 Computational Mathematics (3+2+0) 3 ECTS 6 (Matematiksel Mantık) I. H. Boğaziçi Üniversitesi 34342 Bebek/İstanbul Türkiye, Yükseköğretim Kalite Kurulu Kurumsal Geri Bildirim Raporu, Beşeri Bilimler (Humanities) Dersleri Koordinatörlüğü. Links: partial differential equations; nonlinear Schrödinger, KdV Uluslararası ilişkileri kuvvetli olan kadrosu sayesinde, öğrencilerine değişim programları ve lisansüstü programlar ile ilgili en kaliteli imkânları sunmaktadır. (Çizgeler Kuramı) CV. Lisans programı eğitim, araştırma, veya matematiğin önemli olduğu bilim, teknoloji, iş veya devletin ilgili alanlarında kariyer yapmak isteyen öğrencilere iyi bir temel sağlamaktadır. Wave equation, heat equation, Laplace equation, classification of second order linear equations, initial value problems, boundary value problems, Fourier series, harmonic functions, Green's function. Selected topics in pure and applied mathematics. Mathematics is a rapidly developing and expanding field which, in addition to its traditional areas of application in the physical sciences, is continually being expanded into new areas of knowledge such as the biological and social sciences.
MATH 472 Geometric Topology (3+2+0) 3 ECTS 6 A beautiful book on dispersive differential equations authored by Propositional logic, truth tables, equivalences, quantifiers, rules of inference, proof methods, sets, power sets, functions, sequences, countability, cardinality, divisibility, modular arithmetic, primes, mathematical induction, strong induction and well-ordering principle, recursive definitions, axiomatic systems, Euclid's postulates and non-Euclidean geometries. Prerequisite: MATH 222 or consent of the instructor. (Geometrik Topoloji) Dynamical systems with discrete and continuous time, differential equations on torus, invariant sets, topological dynamics, topological recurrence and entropy, expansive maps, homoemorphisms and diffeomorphisms of the circle, periodic orbits, hyperbolic dynamics, Grobman-Hartman and Hadamard-Perron theorems, geodesic flows, topological Markov chains, zeta functions, invariant measures and the ergodic theorem. Deniz Bilman, On the Zakharov-Schulman equations, 2009 Prepositional and quantificational logic, formal grammar, semantical interpretation, formal deduction, completeness theorems, selected topics from model theory and proof theory. Simple crypto-systems public key cryptography, discrete logarithms and Diffie-Hellman key exchange, primality, factoring and RSA, elliptic curve crypto-systems, lattice based crypto-systems. (Varyasyonlar Hesabı) MATH 351 Qualitative Theory of Ordinary Differential Equations (3+2+0) 3 ECTS 6 MATH 451 Numerical Solutions of Differential Equations (3+2+0) 6 (Diferansiyel Topoloji) Fundamentals of Euclidean spaces, geometry of curves and surfaces in three-dimensional Euclidean space, Gauss map, first and second fundamental forms, theorema egregium, geodesics, Gauss-Bonnet theorem, introduction to differentiable manifolds.
and seminar talks.
(Diferansiyel Topoloji) Probability, conditional probability, Bayes' theorem, independence, discrete and continuous probability distributions, expected value, estimation, confidence intervals, tests of hypothesis for one parameter, goodness of fit test, linear regression, analysis of variance.
lecture notes from different summer schools on dispersive Prerequisite: MATH 338 or consent of the instructor.
Selman Akbulut (Michigan State University), Sequences, limits and continuity, differentiation and its applications, integration and its applications, fundamental theorem of calculus, transcendental functions, improper integrals. Department of Mathematics Boğaziçi University Bebek 34342 İstanbul-TR. MATH 352 Partial Differential Equations (3+2+0) 3 ECTS 6 Prerequisite: MATH 111. (Sayılar Teorisi) Prerequisite: MATH 111 or consent of the instructor. - PHYS 101, PHYS 130, PHYS 201 Numerical Solutions of initial value problems for ordinary differential equations (ODE), Picard-Lindelof theorem, single step methods including Runge-Kutta methods, examples and consistency, stability and convergence of multistep methods, numerical solution of boundary value problems for ODE's shooting, finite difference and collocation methods, finite element methods, Riesz and Lax-Milgram lemmas, weak solutions, numerical solutions of partial differential equations, examples of finite difference methods and their consistency, stability and convergence including Lax-Richtmeyer equivalence theorem, Courant-Friedrichs-Lewy condition and von Neumann analysis, Galerkin methods, Galerkin orthogonality, Cea's lemma, finite element methods for elliptic, parabolic and hyperbolic equations. Prerequisite: MATH 338. First-order differential equations, second-order linear equations, Wronskian, change of parameters, homogeneous and non-homogeneous equations, series solutions, Laplace transform, systems of first-order linear equations, boundary value problems, Fourier series.
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