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Year/Semester of Study | 1 / Fall Semester | ||||
Level of Course | 2nd Cycle Degree Programme | ||||
Type of Course | Optional | ||||
Department | MATHEMATICS | ||||
Pre-requisities and Co-requisites | None | ||||
Mode of Delivery | Face to Face | ||||
Teaching Period | 14 Weeks | ||||
Name of Lecturer | ZARİFE ZARARSIZ (zarifezararsiz@nevsehir.edu.tr) | ||||
Name of Lecturer(s) | |||||
Language of Instruction | Turkish | ||||
Work Placement(s) | None | ||||
Objectives of the Course | |||||
The aim of this course, to teach limitation methods, some particular limitation methods and bounded convergence fields |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 | the limitation metdos are known |
PO-4 Ability to learn scientific, mathematical perception and the ability to use that information to related areas. |
Examination |
LO-2 | the special limitation metdos are known |
PO-4 Ability to learn scientific, mathematical perception and the ability to use that information to related areas. |
Examination |
LO-3 |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other. PO-3 Mathematics, natural sciences and their branches in these areas and related issues has sufficient infrastructure solutions for the problems of theoretical and practical uses of mathematics. PO-7 Be able to access to information, make research on resources for this purpose and be able to use databases and other information resources. PO-8 To perform the ethical responsibilities in working life. PO-16 Ability to use the approaches and knowledge of other disciplines in Mathematics. PO-17 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. |
Examination Presentation |
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PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
1-Limitation methods, 2- Some particular limitation methods | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | limitation methods | oral represantation, questioning - answering, problem solving |
2 | examples of limitation methods | oral represantation, questioning - answering, problem solving |
3 | Matrix limitation methods | oral represantation, questioning - answering, problem solving |
4 | Norlund and Riesz means | oral represantation, questioning - answering, problem solving |
5 | Schur matrices | oral represantation, questioning - answering, problem solving |
6 | Consistency of matrix methods | oral represantation, questioning - answering, problem solving |
7 | Consistency of matrix methods | oral represantation, questioning - answering, problem solving |
8 | mid-term exam | |
9 | Norlund Mean | oral represantation, questioning - answering, problem solving |
10 | Cesaro and Hölder Mean | oral represantation, questioning - answering, problem solving |
11 | Haussdorf methods | oral represantation, questioning - answering, problem solving |
12 | Abel's method | oral represantation, questioning - answering, problem solving |
13 | Tauberian theorems | oral represantation, questioning - answering, problem solving |
14 | Tauberian theorems | oral represantation, questioning - answering, problem solving |
15 | Tauberian theorems | oral represantation, questioning - answering, problem solving |
16 | final exam | |
Recommend Course Book / Supplementary Book/Reading | ||
1 | regular matrix transformations, PETERSEN | |
Required Course instruments and materials | ||
books and internet |
Assessment Methods | |||
Type of Assessment | Week | Hours | Weight(%) |
mid-term exam | 8 | 2 | 40 |
Other assessment methods | |||
1.Oral Examination | |||
2.Quiz | |||
3.Laboratory exam | |||
4.Presentation | |||
5.Report | |||
6.Workshop | |||
7.Performance Project | |||
8.Term Paper | |||
9.Project | |||
final exam | 14 | 2 | 60 |
Student Work Load | |||
Type of Work | Weekly Hours | Number of Weeks | Work Load |
Weekly Course Hours (Theoretical+Practice) | 3 | 14 | 42 |
Outside Class | |||
a) Reading | 0 | ||
b) Search in internet/Library | 6 | 5 | 30 |
c) Performance Project | 0 | ||
d) Prepare a workshop/Presentation/Report | 8 | 5 | 40 |
e) Term paper/Project | 2 | 7 | 14 |
Oral Examination | 0 | ||
Quiz | 0 | ||
Laboratory exam | 0 | ||
Own study for mid-term exam | 4 | 5 | 20 |
mid-term exam | 2 | 1 | 2 |
Own study for final exam | 6 | 5 | 30 |
final exam | 2 | 1 | 2 |
0 | |||
0 | |||
Total work load; | 180 |