Week |
Subject |
Related Preparation |
1) |
Abelian groups, rings and fields. |
|
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. |
|
4) |
Prime and primary ideals. Factorization of ideals in the monoid of ideals. Localizations of ideals. |
|
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. |
|
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) |
To have knowledge about logistics operations and the basic legislation |
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2) |
To have knowledge about the politics, corporations and the developments in logistics. |
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3) |
To have knowledge about the economical life and the basic features of the enterprises that take place in logistics sector. |
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4) |
To have knowledge about the documents that are used in logistics and how to prepare them. |
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5) |
To have knowledge about the new marketing and sales techniques and the principles of opening to new markets. |
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6) |
To have knowledge and consciousness about the job security, worker health and environment protection in logistics sector. |
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7) |
To have knowledge and consciousness about the basic legal attainments, social responsibility, ethics and social security rights in logistics. |
|
8) |
To be involved in communication network in logistics sector and follow the developments. |
2 |
9) |
To have the ability to comment and evaluate the classical and current theories by taking into account the developments in logistics and supply chain areas. |
|
10) |
To have the basic knowledge about foreign trade and customs legislation. |
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11) |
To have knowledge about relationship between foreign trade and logistics management. |
|
12) |
To have basic knowledge in at least one foreign language. |
|
13) |
He/she can use information and communication tecnologies that necessary for their area, follows technological change and applies new technologies to business system. |
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