Week |
Subject |
Related Preparation |
1) |
Abelian groups, rings and fields. |
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2) |
Vector spaces and linear transformations. Bases and matrix representations of linear transformations. |
|
3) |
Polynomial rings. Ideals, prime and maximal ideals. Quotients of polynomial rings. Modules over polynomial rings. |
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4) |
Prime and primary ideals. Factorization of ideals in the monoid of ideals. Localizations of ideals. |
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5) |
Zero-divisors, integral domains and rings of fractions. Unique factorization domains and Eucledian domains. |
|
6) |
Radical of an ideal. Nilradical and Jacobson radical of a ring. Operations in the lattice of ideals. |
|
7) |
A review of covered subjects and the first exam. |
|
8) |
Classical Euclidean division algorithm in polynomial algebras. Monomial orderings and division algorithms. |
|
9) |
Fundamental Theorem of Algebra. Finite generation of ideals in polynomial algebras. |
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10) |
Gröbner basis and Buchberger algorithm. Examples and calculations. |
|
11) |
Gröbner basis and Buchberger algorithm. Examples and calculations. |
|
12) |
A review of covered subjects and the second exam. |
|
13) |
Morphisms between modules. Kernels and images of morphisms. Submodules and quotient modules. Ideals of annihilators. Examples. |
|
14) |
Internal and external sums of modules. Tensor products of modules. Submodule and ideal chains. Artinian and Noetherian rings and modules. |
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Program Outcomes |
Level of Contribution |
1) |
List the relations between concepts and institutions related to various legal disciplines and this concepts and institutions. |
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2) |
Have the knowledge of legal methodology and methods of comment. |
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3) |
Comment the modern legal gains with the historical knowledge. |
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4) |
Have the knowledge of philosophical currents of thought which are the bases of legal rules. |
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5) |
Have the knowledge of legal regulations, judicial decisions and the scientific evaluations related to them. |
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6) |
Resolve the juridical disagreements in light of legal acts, juridical decisions and doctrine. |
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7) |
Use at least one foreign language as scientific language. |
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8) |
Have the knowledge of the political and juridical foundation of the state. |
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9) |
Have the knowledge of the historical development of the rights of individuals and societies and of the basic documents which are accepted throughout this development. |
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10) |
Have the ability to resolve the disagreements which can violate the social order in national or international level. |
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11) |
Have the ability to prevent the juridical disagreements between individuals. |
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12) |
Have the knowledge of international and comparative law systems. |
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13) |
Have the knowledge of the construction and the conduct of the national and international commercial relations. |
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14) |
Use Turkish in an efficient way both verbal and written. |
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15) |
Have the professional and ethical responsibility. |
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16) |
Have the knowledge on the European Union’s legislation and institutions. |
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17) |
Have the knowledge on juridical regulations and applications related to economical and financial mechanisms. |
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18) |
Have the knowledge of the operation of the national and the international judicial bodies. |
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