TÜRKÇE
ENGLISH
Information
| Unit | |
| Code | SD0837 |
| Name | The Mystery of Numbers |
| Term | 2026-2027 Academic Year |
| Term | Fall and Spring |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Label | UCC University Common Course |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi Melis ÇELİK GÜNEY |
| Course Instructor |
Dr. Öğr. Üyesi Melis ÇELİK GÜNEY
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim is to develop students’ curiosity about numbers and their mathematical thinking skills by demonstrating that numbers are not merely symbols used in mathematical operations, but also play diverse roles in history, nature, science, art, technology, and everyday life.
Course Content
The emergence and historical development of the concept of numbers, the discovery of zero, prime numbers, the Fibonacci sequence, the golden ratio and π, the concept of infinity, the birthday problem and the Monty Hall problem, codes and ciphers, the cultural mysteries of numbers, and the future of numbers.
Course Precondition
Resources
The Book of Numbers (Peter J. Bentley, NTV Publishing) The Golden Ratio in Nature, Art, and Architecture (Fikri Akdeniz, Nobel Bookstore)
Notes
Course Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | They can explain the historical development of the concept of number and the basic characteristics of different number systems. |
| LO02 | They can distinguish between basic number types and interesting mathematical properties of numbers. |
| LO03 | They can explain the basic properties of the Fibonacci sequence, the golden ratio, π, and the concept of infinity. |
| LO04 | They can explain the uses of numbers in nature, science, art, technology, and daily life with examples. |
| LO05 | They can explain the historical development of the concept of number and the basic characteristics of different number systems. |
| LO06 | They can distinguish between basic number types and interesting mathematical properties of numbers. |
| LO07 | They can critically evaluate numerical information and question mathematical misconceptions. |
| LO08 | They can recognize the scientific, cultural, and practical importance of numbers in human life. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Before the numbers | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Alıştırma ve Uygulama, Anlatım, Tartışma |
| 2 | The birth of numbers | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Tartışma |
| 3 | The discovery of zero | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 4 | Natural numbers, perfect numbers, amicable numbers, and prime numbers. | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 5 | Fibonacci and the numbers of nature | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Tartışma |
| 6 | The golden ratio | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 7 | Pi number | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Ödev |
|
| 9 | The concept of infinity | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 10 | Fractals and infinite complexity | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 11 | Birthday problem | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 12 | Monty Hall problem | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 13 | The hidden world of numbers: codes and ciphers | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 14 | The cultural mysteries of numbers | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 15 | The future of numbers: artificial intelligence, cryptograph and big data | Internet research on the subject and books recommended by the instructor. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Tartışma |
| 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 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 2 | 3 | 6 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 5 | 5 | 25 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 2 | 2 |
| Final Exam | 1 | 3 | 3 |
| Total Workload (Hour) | 64 | ||
| Total Workload / 25 (h) | 2,56 | ||
| ECTS | 3 ECTS | ||