| Course Language |
Turkish
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| Compulsory or Elective |
Compulsory
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| Equipment |
Board, Overhead Projector, Projector, Notebook, CD
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| Instructor |
Department of Mathematics
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| Course Contents |
Rings: Basic Properties, Subrings, Integral Domain, Field/ Ideals: Principal Ideals, Quotient Rings, Ring Homomorphism, Fields of Fractions, Arithmetic in Rings, Associativity, GCD, Prime elements, UFD, Euclidean Domain, The Ring of Polynomials, Fields on the ring of polynomial, Division Algorithm on the ring of polynomials, Prime Ideals, Maximal Ideals
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| Course Objectives |
To improve abstract thinking of students and to teach algebraic structure
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Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course) |
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The ability of abstract thinking
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The ability of making proof
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The knowledge of algebraic structure
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| Textbook |
A. G. Ağargün, N. Aygör, B: A. Ersoy, M. Alan ; “Soyut Cebir II”, YTÜ Publ., 2002
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| Additional References |
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M. S. Malik, J. N. Mordeson, M. K. Sen; “Fundementals of Abstract Algebra”, Mc Graw-Hill Comp., 1997
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F. Çallıalp, “Soyut Cebir ve Sayılar Teorisi”, Nineteen May Univercity Faculty of Arts and Sciences Publication, No:12, 1986
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J.B. Fraleigh, “A First Course in Abstract Algebra”, Addison Wesley, 1999
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