| Week |
Subject |
Related Preparation |
| 1) |
Complete spaces |
|
| 2) |
Baire’s Category Theorem. Completeness and compactness |
|
| 3) |
Completeness and compactness |
|
| 4) |
contraction transformations |
|
| 5) |
Completeness and Baire spaces |
|
| 6) |
Function spaces |
|
| 7) |
Point open topology |
|
| 8) |
Toplogy of Uniform continuity |
|
| 9) |
Ascoli theorem |
|
| 10) |
Uniform spaces |
|
| 11) |
Uniform spaces |
|
| 12) |
Local finiteness, paracompactness |
|
| 13) |
Local finiteness, paracompactness |
|
| 14) |
Lightly compakt spaces and its duals |
|
| Course Notes / Textbooks: |
Prof. Dr. Gulhan ASLIM, “ Genel Topoloji”, Ege Uni. Fen Fakultesi Yayinlari,
(1998) Lipschutz, S., “ General Topology”, Schaum. Pub. Co. New york, (1964).
Munkres, J. P., “ Topology a First Course”, Prentice Hall. Inc., (1975).
Willard, S. “General Topology”, Addision-Wesley Publishing Company, 1970.
Engelking, R. "General Topology" Heldermann Verlag, Berlin 1989. |
| References: |
|
| |
Program Outcomes |
Level of Contribution |
| 1) |
Ability to assimilate mathematic related concepts and associate these concepts with each other.
|
4 |
| 2) |
Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
|
4 |
| 3) |
Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. |
4 |
| 4) |
Ability to make individual and team work on issues related to working and social life. |
4 |
| 5) |
Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball. |
4 |
| 6) |
Ability to use mathematical knowledge in technology. |
4 |
| 7) |
To apply mathematical principles to real world problems. |
4 |
| 8) |
Ability to use the approaches and knowledge of other disciplines in Mathematics. |
4 |
| 9) |
Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. |
5 |
| 10) |
To be able to link abstract thought that one has to concrete events and to transfer the solutions and examine and interpret the results scientifically by forming experiments and collecting data. |
3 |
| 11) |
To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. |
4 |
| 12) |
To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself. |
4 |
BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
