Pınar Ongan

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Math 311 Introduction to Algebra

by on Feb.28, 2011, under Assistantship

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Math 636 Algebraic Function Fields

by on Oct.17, 2010, under Taken Course History

Places,valuation rings and discrete valuations of a function field; the rational function field; divisors, Weil different adeles, genus; Riemann-Roch Theorem and its consequences; extensions of function fields, ramification, Hurwitz genus formula; constant field extensions, Galois extensions, Kummer and Artin-Schreier extensions.

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Math 514 Finite Fields and Its Applications I

by on Oct.17, 2010, under Taken Course History

Characterization of finite fields, roots of irreducible polynomials, traces, norms, and bases, representation of elements of finite fields. Order of polynomials, irreducible polynomials and their construction. Factorization of polynomials. Linear recurring sequences. Introduction to applications of finite fields; algebraic coding theory and cryptology.

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Math 201 Linear Algebra

by on Oct.17, 2010, under Assistantship

some warnings after quiz 1 (to see the questions and solutions of quiz 1: )

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MATH 203 Introduction to Probability

by on Jul.16, 2010, under Assistantship

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MATH 581 Special Topics in Advanced Linear Algebra

by on Jun.15, 2010, under Taken Course History

Euclidean and unitary vector spaces, normal forms for endomorphisms of Euclidean and unitary spaces (e.g., orthogonal, self-adjoint, normal endomorphisms), linear optimization, simplex algorithm, introduction to coding theory.

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MATH 512 Algebra II

by on Jun.15, 2010, under Taken Course History

Modules. Fields, extension fields, Galois theory. Categories and functors.

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MATH 511 Algebra I

by on Jun.15, 2010, under Taken Course History

Introduction to group theory. Isomorphism theorems. Permutation groups and Cayley’s theorem. Conjugacy classes. Lagrange’s theorem and the Sylow theorems. principle ideal domains. Polynomial ring.

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MATH 520 Calculus on Manifolds

by on Jun.14, 2010, under Taken Course History

Differentiable manifolds. Smooth mappings; differential of a map. Implicit and inverse function theorems. Submanifolds. Vector fields. Differential forms. Orientation on manifolds. Integration on manifolds. Stokes’ theorem.

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MATH 204 Discrete Mathmematics

by on Jun.14, 2010, under Assistantship

some warnings after quiz 1 (For questions see the followings: 1st quiz A & 1st quiz B)

some warnings after quiz 2 (For questions see the followings: 2nd quiz A2nd quiz B)

some warnings after quiz 4 (For questions see the followings: 4th quiz A & 4th quiz B)

some warnings after quiz 5 (For questions see the followings: 5th quiz A & 5th quiz B)

some warnings after quiz 6 (For questions see the followings: 6th quiz A & 6th quiz B)

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