Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 2 / Spring Semester | ||||
| Level of Course | 1st 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 | HAYRULLAH ÖZİMAMOĞLU (h.ozimamoglu@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SEZER SORGUN, HAYRULLAH ÖZİMAMOĞLU, HATİCE TOPCU, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To assist the student in learning ideas about about about theory of number. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can learn the concepts of primitive roots and characters and solve relations problems. |
PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| LO-2 | Can learn the concept quadratic residues and use several results of it. |
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination |
| LO-3 | Can learn the concept of continued fractions. |
PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination |
| LO-4 | Can learn Diophantine equations and establishes the practical problems in life. |
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| The Legendre Symbol, Quadratic Residues, Quadratic reciprocty, Primitif roots, Charecters, The Jacobi symbol, Diophantine equations. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Primitive roots and indices | problem-solving |
| 2 | Primitive roots and indices | problem-solving |
| 3 | Primitive roots and indices | problem-solving |
| 4 | Quadratic residues | problem-solving |
| 5 | Quadratic residues | problem-solving |
| 6 | Quadratic residues | problem-solving |
| 7 | Continued fractions | problem-solving |
| 8 | mid-term exam | |
| 9 | Continued fractions | problem-solving |
| 10 | Continued fractions | problem-solving |
| 11 | Linear diophantine equations | problem-solving |
| 12 | Linear diophantine equations | problem-solving |
| 13 | Linear diophantine equations | problem-solving |
| 14 | Quadratic diophantine equations | problem-solving |
| 15 | Quadratic diophantine equations | problem-solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Sayılar Teorisi ve Uygulamaları, H. Altındiş, Kayseri, 1999. | |
| 2 | K.H. Rosen, “ Elementary Number Theory and Its Applications, Addison-Wesley 1993 | |
| 3 | H.M. Stark , “ An Introduction to Number Theory ”, Markham Pub. Co., 1970 | |
| Required Course instruments and materials | ||
| The books of Number Theory | ||
| 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 | 15 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 4 | 14 | 56 |
| b) Search in internet/Library | 2 | 14 | 28 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 4 | 4 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 5 | 4 | 20 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||