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. |
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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. |
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6) |
Radical of an ideal. Nilradical and Jacobson radical of a ring. Operations in the lattice of ideals. |
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7) |
A review of covered subjects and the first exam. |
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8) |
Classical Euclidean division algorithm in polynomial algebras. Monomial orderings and division algorithms. |
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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. |
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11) |
Gröbner basis and Buchberger algorithm. Examples and calculations. |
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12) |
A review of covered subjects and the second exam. |
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13) |
Morphisms between modules. Kernels and images of morphisms. Submodules and quotient modules. Ideals of annihilators. Examples. |
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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) |
To have the ability to understand the basic concepts of Banking and Insurance and to be able to use them effectively in business. |
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2) |
To have the ability to work individually or in a team when needed on matters related to his/her profession and to follow and apply the developments in his/her sector. |
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3) |
To be equipped with the necessary knowledge to carry out the legal responsibilities and to follow the related regulations in their sector. |
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4) |
To understand the importance of banking and insurance from the point of the state’s economy and enterprises and to express this importance properly. |
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5) |
To be able to use the computer as well as the profession requires and to be able to do work, accumulate knowledge and to use this knowledge relevantly and effectively. |
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6) |
To make them gain the ability to find practical solutions for the problems of daily commercial activities and to take correct decisions. |
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7) |
To be able to take responsibilities in banking and insurance sector and more generally in the finance sector and to be qualified to start his/her own business after the legal requirements have been met. |
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8) |
To have the competency to carry out the accountancy related to banking and insurance. |
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9) |
To have the competency to build effective customer relations and to have effective communication and persuasion skills. |
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10) |
To be able to determine the accumulated knowledge druring the education in line with the cause and effect relations and to be able to have the necessary professional qualifications to know where, when and how to use his/her knowledge. |
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