| 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) |
They acquire theoretical, historical and aesthetic knowledge specific to their field by using methods and techniques related to performing arts (acting, dance, music, etc.). |
2 |
| 2) |
They have knowledge about art culture and aesthetics and they provide the unity of theory and practice in their field. |
2 |
| 3) |
They are aware of national and international values in performing arts. |
2 |
| 4) |
Abstract and concrete concepts of performing arts; can transform it into creative thinking, innovative and original works. |
1 |
| 5) |
They have the sensitivity to run a business successfully in their field. |
3 |
| 6) |
Develops the ability to perceive, think, design and implement multidimensional from local to universal. |
3 |
| 7) |
They have knowledge about the disciplines that the performing arts field is related to and can evaluate the interaction of the sub-disciplines within their field. |
2 |
| 8) |
They develop the ability to perceive, design, and apply multidimensionality by having knowledge about artistic criticism methods. |
3 |
| 9) |
They can share original works related to their field with the society and evaluate their results and question their own work by using critical methods. |
1 |
| 10) |
They follow English language resources related to their field and can communicate with foreign colleagues in their field. |
1 |
| 11) |
By becoming aware of national and international values in the field of performing arts, they can transform abstract and concrete concepts into creative thinking, innovative and original works. |
3 |
| 12) |
They can produce original works within the framework of an interdisciplinary understanding of art. |
2 |
| 13) |
Within the framework of the Performing Arts Program and the units within it, they become individuals who are equipped to take part in the universal platform in their field. |
3 |
| 14) |
Within the Performing Arts Program, according to the field of study; have competent technical knowledge in the field of acting and musical theater. |
2 |
| 15) |
They use information and communication technologies together with computer software that is at least at the Advanced Level of the European Computer Use License as required by the field. |
3 |
BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
