TÜRKÇE
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Information
| Code | BTEZ111 |
| Name | Informatics and Mathematics |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi MEHMET TEKDAL |
| Course Instructor |
Dr. Öğr. Üyesi MEHMET TEKDAL
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To learn mathematical techniques for informatics.
Course Content
Suggestions and logic; clusters; relations and functions; Boole algebra and modern logic; fuzzy logic; the theory of numbers; probability theory; trees and hierarchy; matrices; Graph Theory and its applications; algorithm analysis.
Course Precondition
No prerequisites
Resources
Bilişim Matematiği: Uygulamalı Ayrık Matematik, Çölkesen, R., Papatya Yayıncılık Eğitim, 2015. Ayrık Matematik. Nobel Akademik Yayınevi. Ankara. Türkiye. Büyükköse, Ş. ve Çakır, Ö (2019).
Notes
BU Ders - Ayrık (Discrete) Matematik Ders Videoları
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Comprehends the importance of mathematical techniques for informatics. |
| LO02 | Comprehends the subjects of logic and propositions. |
| LO03 | Apply the concepts of relation and function to informatics. |
| LO04 | Explain the application areas of Boolean algebra and modern logic concepts in informatics. |
| LO05 | Explains the relation of fuzzy logic, numbers and probability theory with informatics. |
| LO06 | Develops applications related to the usage areas of trees and hierarchical structures. |
| LO07 | Uses matrices, graph theory and algorithm analysis techniques in computing. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Knows and acts in accordance with the basic values, principles, laws, regulations and ethical rules required by the field of Computer and Instructional Technologies. | 4 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Knows the basic principles of Mainstream theories, methods and techniques related to Learning and Teaching, Instructional Technologies, Information Technologies. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Selects and uses instructional technologies required by educational problems or activities. | 5 |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Organizes activities for teaching the field of information technologies and develops appropriate teaching materials. | 4 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Uses theoretical knowledge in computer and educational sciences for solution purposes in learning environments . | 4 |
| PLO06 | Yetkinlikler - Alana Özgü Yetkinlik | Identifies learning and teaching problems and designs solutions, selects and applies appropriate methods for this design. | |
| PLO07 | Yetkinlikler - Alana Özgü Yetkinlik | Develops an individual proposal, a product or a set of processes for solving a problem in the field as an indicator of independent working skills and the ability to take responsibility. Takes responsibility in individual or team projects and effectively fulfills the task. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It engages in learning and self-development activities in order to follow current problems and changes in our country and in the world, and to acquire the knowledge and skills that the society in the near future will require.. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | She undertakes new learning tasks in new situations and, when faced with a learning problem, applies problem solving that will lead her and her team to success on the basis of scientific and ethical values. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Establishes effective and healthy communication with students, teachers, school management, families and individuals in the study group. It takes responsibility for the dissemination and distribution of developments in the field at the local or national level. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Acting on the basis of scientific and ethical values in its works, it supports the protection and learning of these values. | |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | It carries the relevant developments in other fields to the field of instructional technologies. It creates and maintains an efficient collaborative working environment in cooperation with stakeholders. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Has the knowledge of software and hardware to teach Information and Communication Technologies courses and support other teachers; uses information and communication technologies and communicates using these technologies. | |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Within the scope of instructional technologies, it produces individual and group projects to solve the current problems of society. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | In order to access information, it conducts resource research and uses up-to-date information sources, evaluates the accuracy and timeliness of the information obtained from different sources. | |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | He has the skills of learning to learn, critical thinking and creative thinking. | |
| PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works effectively individually and in interdisciplinary groups. | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Learns and uses emerging new technologies; In accordance with the basics of instructional technologies, it prepares content compatible with these new environments and presents it in a way that is effective in learning. | |
| PLO19 | Yetkinlikler - Alana Özgü Yetkinlik | Knows distance learning theories and uses mainstream distance learning applications, media, tools, platforms and technologies for learning and teaching purposes. | |
| PLO20 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Follows the information in the field and communicates with colleagues by using a foreign language at least at the European Language portfolio B1 level. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Suggestions and logic | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma, Örnek Olay, Deney / Laboratuvar, Problem Çözme, Proje Temelli Öğrenme |
| 2 | Clusters | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 3 | Associations and functions | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Gösteri, Gösterip Yaptırma |
| 4 | Boole algebra | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Grup Çalışması |
| 5 | Modern logic. | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Grup Çalışması |
| 6 | Fuzzy logic. | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 7 | An overview | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Theory of numbers. | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 10 | Probability theory | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 11 | Trees and hierarchy | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Gösteri |
| 12 | Matrix | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Gösteri |
| 13 | Graph Theory and its applications | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Gösteri |
| 14 | Algorithm | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | An overview. | Summary of previous issues | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 10 | 10 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 20 | 20 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 144 | ||
| Total Workload / 25 (h) | 5,76 | ||
| ECTS | 6 ECTS | ||