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) |
To have theoretical and practical knowledge required to fulfill professional roles and functions of Physiotherapy and Rehabilitation field. |
2 |
2) |
To act in accordance with ethical principles and values in professional practice. |
1 |
3) |
To use life-long learning, problem-solving and critical thinking skills. |
4 |
4) |
To define evidence-based practices and determine problem solving methods in Physiotherapy and Rehabilitation practices, using theories in health promotion, protection and care. |
1 |
5) |
To take part in research, projects and activities within sense of social responsibility and interdisciplinary approach. |
1 |
6) |
To have skills for training and consulting according to health education needs of individual, family and the community. |
1 |
7) |
To be sensitive to health problems of the community and to be able to offer solutions. |
1 |
8) |
To be able to use skills for effective communication. |
5 |
9) |
To be able to select and use modern tools, techniques and modalities in Physiotherapy and Rehabilitation practices; to be able to use health information technologies effectively. |
1 |
10) |
To be able to search for literature in health sciences databases and information sources to access to information and use the information effectively. |
1 |
11) |
To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. |
1 |
12) |
To be a role model with contemporary and professional identity. |
5 |