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. |
|
|
Program Outcomes |
Level of Contribution |
1) |
Being familiar to the main concepts and methods of the social sciences and the fine arts devoted to understanding the world and the society |
4 |
2) |
Having comprehensive knowledge regarding different media and branches of art |
3 |
3) |
Knowing the historical background of audio-visual moving images in the world and in Turkey and keeping pace with the new developments in the area |
1 |
4) |
Having a good command of the language and the aesthetics of audio-visual moving images in the world and in Turkey |
1 |
5) |
Being able to create a narrative that could be used in a fiction or a non-fiction audio-visual moving image product |
2 |
6) |
Being able to write a script ready to be shot |
2 |
7) |
Having the skills to produce the photoboard of a script in hand and to shoot the film using the camera, the lights and other necessary equipment |
|
8) |
Being able to transfer the footage of a film to the digital medium, to edit and do other post-production operations |
|
9) |
Being able to create a documentary audio visual moving image from the preliminary sketch stage to shooting, editing and post-production stages |
|
10) |
Being able to produce an audio visual moving image for television and audio products for radio from preliminary stages through shooting and editing to the post-production stage |
|
11) |
Being culturally and theoretically equipped to make sense of an audio-visual moving image, to approach it critically with regard to its language and narration and being able to express his/her approach in black and white |
3 |
12) |
Having ethical values and a sense of social responsibility |
5 |