MATH366 ELEMENTARY NUMBER THEORY II
| Course Code: | 2360366 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 6.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. ÖMER KÜÇÜKSAKALLI |
| Offered Semester: | Fall Semesters. |
Course Objectives
This course is the second part of a sequel of a basic number theory courses which involves several types of Diophantine equations, factorization of elements and ideals in quadratic extensions. This course exhibits some historical and modern aspects of number theory focusing on algebraic structures.
Course Content
Arithmetic in quadratic fields. Factorization theory. Continued fractions, periodicity. Transcendental numbers.
Course Learning Outcomes
The students who succeed in this course
- will be able to solve several Diophantine equations,
- will be able to use the elliptic curve group structure,
- will be able to comprehend unique factorization in terms of elements and ideals,
- will be able to do some algebraic number theoritical computations in the case of degree two extension,
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Can produce innovative thoughts and products. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Has a comprehension of mathematical symbols, concepts together with the interactions among them and can express his/her solutions similarly. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Is responsive to life-long learning, improving his/her skills and abilities | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution