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Year/Semester of Study | 2 / Spring Semester | ||||
Level of Course | 1st Cycle Degree Programme | ||||
Type of Course | Compulsory | ||||
Department | PHYSICS | ||||
Pre-requisities and Co-requisites | None | ||||
Mode of Delivery | Face to Face | ||||
Teaching Period | 14 Weeks | ||||
Name of Lecturer | MELTEM DEĞERLİER GUIOT (mdegerlier@nevsehir.edu.tr) | ||||
Name of Lecturer(s) | |||||
Language of Instruction | Turkish | ||||
Work Placement(s) | None | ||||
Objectives of the Course | |||||
In addition to basic knowledge of mathematics, to teach the advanced mathematical methods and to apply them into practice. |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 | Can solve boundary value problems containing some basic equations of physics(Wave equation, the equation of thermal conductivity, etc.). |
PO-1 To demonstrate their knowledge of the basic scientific principles and fundamental concepts and skills of the field.
PO-2 To solve problems utilizing scientific reasoning quantitative methods, and acquired knowledge and skills. PO-3 Communicate scientific ideas clearly and effectively. PO-5 To connect physical principals and laws to problems. |
Examination Quiz Performance Project |
LO-2 | Can apply Fourier series to boundary value problems. |
PO-1 To demonstrate their knowledge of the basic scientific principles and fundamental concepts and skills of the field.
PO-3 Communicate scientific ideas clearly and effectively. PO-6 To demonstrate the ability to think critically and to use appropriate concepts to analyze qualitatively problems or situations involving physics. |
Examination Quiz |
LO-3 | Know the Residu computing techniques, and calculate integrals by using the residual thorem. |
PO-1 To demonstrate their knowledge of the basic scientific principles and fundamental concepts and skills of the field.
PO-5 To connect physical principals and laws to problems. PO-6 To demonstrate the ability to think critically and to use appropriate concepts to analyze qualitatively problems or situations involving physics. |
Examination Quiz |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
Introduction to partial differential equations, solution of boundary value problems containing some basic equations of physics(wave equation, heat conduction equation, etc.) by the method of separation of variables, Fourier series and its implementation of boundary value problems, double Fourier sinus expansions and its applications, orthogonal functions, ortagonalization, Legendere, Laguerre, Hermite polynomials | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | Linear transformations | Course description and presentations, Question and answer |
2 | Eigenvalues and eigenvectors | Course description and presentations, Question and answer |
3 | Complex analysis | Course description and presentations, Question and answer |
4 | Applications of complex analysis | Course description and presentations, Question and answer |
5 | Orthogonal systems | Course description and presentations, Question and answer |
6 | Fourier series | Course description and presentations, Question and answer |
7 | Fourier transformation | Course description and presentations, Question and answer |
8 | mid-term exam | |
9 | Applications of Fourier transform | Course description and presentations, Question and answer |
10 | Laplace transform | Course description and presentations, Question and answer |
11 | Application of the Laplace transform | Course description and presentations, Question and answer |
12 | Legendere equations | Course description and presentations, Question and answer |
13 | Laguerre equations | Course description and presentations, Question and answer |
14 | Hermite polynomials | Course description and presentations, Question and answer |
15 | Application of Hermite polynomials | Course description and presentations, Question and answer |
16 | final exam | |
Recommend Course Book / Supplementary Book/Reading | ||
1 | Bekir Karaoğlu, Fizik ve Mühendislikte Matematik Yöntemler. Mithat İdemen, Kompleks Değişkenli Fonksiyonlar Teorisi. | |
Required Course instruments and materials | ||
[1] Bekir Karao?lu, Fizik ve Mühendislikte Matematik Yöntemler. [2] Mithat ?demen, Kompleks De?i?kenli Fonksiyonlar Teorisi. |
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 | 16 | 2 | 60 |
Student Work Load | |||
Type of Work | Weekly Hours | Number of Weeks | Work Load |
Weekly Course Hours (Theoretical+Practice) | 5 | 14 | 70 |
Outside Class | |||
a) Reading | 5 | 14 | 70 |
b) Search in internet/Library | 1 | 14 | 14 |
c) Performance Project | 1 | 14 | 14 |
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 | 6 | 2 | 12 |
mid-term exam | 2 | 1 | 2 |
Own study for final exam | 9 | 2 | 18 |
final exam | 2 | 1 | 2 |
0 | |||
0 | |||
Total work load; | 202 |