Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
---|---|---|---|---|---|
Advanced Mathematıcal Methods In Physıcs | FIZ 503 | 0 | 3 + 0 | 3 | 6 |
Ön Koşul Dersleri | |
Önerilen Seçmeli Dersler | |
Dersin Dili | Türkçe |
Dersin Seviyesi | YUKSEK_LISANS |
Dersin Türü | Zorunlu |
Dersin Koordinatörü | Dr.Öğr.Üyesi NAGİHAN DELİBAŞ |
Dersi Verenler | Prof.Dr. LEYLA ÖZDEMİR, |
Dersin Yardımcıları | |
Dersin Kategorisi | Diğer |
Dersin Amacı | To gain the ability in order to understand and solve mathematical models related with physics problems |
Dersin İçeriği | Vectors, Differential Vector Calculus, Lineer Vector Spaces, Matrix Algebra, Eigenvalue Equations, Orthogonal Polynomials, Differential Equations, Partial Differential Equations |
# | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
---|---|---|---|
1 | Explains the importance of similarity transformations. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, |
2 | Introduces the relation between the Legendre differential equation and physical systems. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, |
3 | Expresses Gauss and Stokes Theorem and solves problems by using these theorems. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, |
4 | Defines special functions and determines their relation with physical systems. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, |
5 | Solves differential equations defining physical systems. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, |
6 | Expresses the properties of the matrices by giving different examples. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, |
Hafta | Ders Konuları | Ön Hazırlık |
---|---|---|
1 | Vectors, Kronecker Delta, Levi-Civita Symbol | [1] pp 19-40 |
2 | Differential Vector Calculus, Gradient, Divergence, Curl, Laplacian, Curvilinear Coordinates | [1] pp 41-75 |
3 | Surface Integral, Volume Integral, Gauss´ Theorem, Stokes´ Theorem | [1] pp 77-109 |
4 | Linear Vector Spaces, Linear Operators | [1] pp 233-256 |
5 | Matrices, Determinant, Similarity Transformations | [1] pp 257-281 |
6 | Eigenvalue, Eigenvector, Diagonalization | [1] pp 282-300 |
7 | Gamma Function, Beta Function, Dirac-Delta Function, Orthogonal Polynomials | [1] pp 301-311 |
8 | Legendre Polynomials, Generating Function, Associated Legendre Polynomials | [1] pp 334-354 |
9 | Midterm Exam | |
10 | Spherical Harmonics, Hermite Polynomials | [1] pp 356-371 |
11 | Laguerre Polynomials, Associated Laguerre Polynpmials | [1] pp 372-383 |
12 | Differential Equations, Power Series Method | [1] pp 445-461 |
13 | Frobenius´ Method, Bessel Differential Equations, Bessel Functions | [1] pp 462-464, pp 312-332 |
14 | Partial Differential Equations, Laplace Equation, Wave Equation | [2] pp 255-282 |
Kaynaklar | |
---|---|
Ders Notu | [1] Öztürk E., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2011 [2] Karaoğlu B., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2007 |
Ders Kaynakları |
Sıra | Program Çıktıları | Katkı Düzeyi | |||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |||
1 | Using the knowledge of undergraduate and graduate education in postgraduate level. | X | |||||
2 | To be able to improve themselves by following the innovations in the field of Physics which are important in the development of science and technology. | X | |||||
3 | To be able to make literature search, presentation, experimental setup preparation, application and explication of results. | X | |||||
4 | To be able to join interdisciplinary and multidisciplinary team works. | ||||||
5 | Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study. | ||||||
6 | Having the scientific and vocational wafer and defending this apprehension in every medium. |
Değerlendirme Sistemi | |
---|---|
Yarıyıl Çalışmaları | Katkı Oranı |
1. Ödev | 20 |
1. Ara Sınav | 60 |
1. Kısa Sınav | 10 |
2. Kısa Sınav | 10 |
Toplam | 100 |
1. Yıl İçinin Başarıya | 50 |
1. Final | 50 |
Toplam | 100 |
AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
---|---|---|---|
Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
Mid-terms | 1 | 15 | 15 |
Quiz | 2 | 5 | 10 |
Assignment | 1 | 10 | 10 |
Final examination | 1 | 20 | 20 |
Toplam İş Yükü | 151 | ||
Toplam İş Yükü / 25 (Saat) | 6,04 | ||
Dersin AKTS Kredisi | 6 |