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) |
Utilize the wealth of information stored in computer databases to answer basic biological questions and solve problems such as diagnosis and treatment of diseases. |
3 |
2) |
Acquire an ability to compile and analyze biological information, clearly present and discuss the conclusions, the inferred knowledge and the arguments behind them both in oral and written format. |
4 |
3) |
Develop critical, creative and analytical thinking skills. |
5 |
4) |
Develop effective communication skills and have competence in scientific speaking, reading and writing abilities in English and Turkish. |
3 |
5) |
Gain knowledge of different techniques and methods used in genetics and acquire the relevant laboratory skills. |
4 |
6) |
Detect biological problems, learn to make hypothesis and solve the hypothesis by using variety of experimental and observational methods. |
4 |
7) |
Gain knowledge of methods for collecting quantitative and qualitative data and obtain the related skills. |
3 |
8) |
Conduct research through paying attention to ethics, human values and rights. Pay special attention to confidentiality of information while working with human subjects. |
5 |
9) |
Obtain basic concepts used in theory and practices of molecular biology and genetics and establish associations between them. |
4 |
10) |
Search and use literature to improve himself/herself and follow recent developments in science and technology. |
5 |
11) |
Be aware of the national and international problems in the field and search for solutions. |
4 |