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 improve fundamental computer knowledge, to encourage students using office and package programs. |
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2) |
Ability to have and use of fundamental mathematics knowledge and skills the usage of relevant materials. |
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3) |
Ability to recognize general structures of machine equipments and the features of shaping |
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4) |
Ability to grasp manufacturing processes and cutting tool materials, materials, statics, mechanics and fluid science fundemantal knowledge. |
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5) |
Ability to draw assembly and auxilary devices as well as to draw whole or details of a system. |
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6) |
Ability to have a knowledge of fundemantal manufacturing process such as turning, milling, punching,grinding and welding techniques and to have a self esteem in order to work behind the bench. |
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7) |
Ability to do computer aided design and write program on digital benches. |
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8) |
Ability to prepare project report, follow up project process and implement projects. |
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9) |
ability to learn the areas of usage of electronic circuit components. Ability to grasp and write programs for micro controllers and for their components. Ability to design relevant circuits. |
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10) |
Ability to understand the electric motors principles and AC-DC analysis |
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11) |
Ability to gain a dominaion on visual programming |
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12) |
Having the ability to communicate efficiently in verbal and written Turkish, to know at least one foreign language in order to communicate with the colleagues and customers. |
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