| 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) |
Build up a body of knowledge in mathematics and statistics, to use them, to understand how the mechanism of economy –both at micro and macro levels – works. |
3 |
| 2) |
Understand the common as well as distinctive characters of the markets, industries, market regulations and policies. |
2 |
| 3) |
Develop an awareness of different approaches to the economic events and why and how those approaches have been formed through the Economic History and understand the differences among those approaches by noticing at what extent they could explain the economic events. |
1 |
| 4) |
Analyze the interventions of politics to the economics and vice versa. |
3 |
| 5) |
Apply the economic analysis to everyday economic problems and evaluate the policy proposals for those problems by comparing opposite approaches. |
2 |
| 6) |
Understand current and new economic events and how the new approaches to the economics are formed and evaluating. |
2 |
| 7) |
Develop the communicative skills in order to explain the specific economic issues/events written, spoken and graphical form. |
3 |
| 8) |
Know how to formulate the economics problems and issues and define the solutions in a well-formed written form, which includes the hypothesis, literature, methodology and results / empirical evidence. |
2 |
| 9) |
Demonstrate the quantitative and qualitative capabilities and provide evidence for the hypotheses and economic arguments. |
2 |
| 10) |
Understand the information and changes related to the economy by using a foreign language and communicate with colleagues. |
3 |
BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
