| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Math. Methods In Physıcs Scı. | FIZ 233 | 3 | 3 + 2 | 4 | 6 |
| Ön Koşul Dersleri | Having taken the Math I and Math II course is recommended. |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. ADİL BAŞOĞLU |
| Dersi Verenler | Doç.Dr. ALİ SERDAR ARIKAN, Doç.Dr. HÜSEYİN YASİN UZUNOK, |
| Dersin Yardımcıları | Assitants of Physics Department |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | To help students gain the fundamental knowledge of advanced mathematical method, mechanics and dynamics during their education. |
| Dersin İçeriği | Vector algebra, vector differential operators, integral theorems, linear vector spaces and operators, orthogonal functions, complex functions, Fourier and Laplace transforms |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Defines vector and vector algebra. | Lecture, Question-Answer, Self Study, Problem Solving, | Testing, Homework, |
| 2 | Summarizes orthogonal coordinate systems. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| 3 | Explains integral theorems with examples. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| 4 | Defines the concept of lineer vector space and lineer operator. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| 5 | Classifies matrices according to their properties. | Problem Solving, Self Study, Question-Answer, Lecture, | Homework, Testing, |
| 6 | Calculates the eigenvalue of a matrix and finds its eigenvectors. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| 7 | Classifies the special functions and determines relations between special functions and physical problems. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| 8 | Defines complex numbers, expresses complex functions with examples. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| 9 | Shows how to do a given function of the Fourier and Laplace transforms. | Problem Solving, Self Study, Drilland Practice, Lecture, | Homework, Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Vector Algebra | [1] pp. 212-238 |
| 2 | Differential Vector Operators | [1] pp. 212-238 |
| 3 | Line integral; Green´s theorem in plane | [1] pp. 377-387 |
| 4 | Divergence Theorem; StokesTheorem | [1] pp. 401-409 |
| 5 | Linear Vector Space | [1] pp. 242-272 |
| 6 | Linear Operators | [1] pp. 242-272 |
| 7 | Matrix Algebra; Similarity Transformations | [1] pp. 242-272 |
| 8 | Eigenvalues and Eigenvectors of a Matrix | [1] pp. 272-307 |
| 9 | MIDTERM EXAM | |
| 10 | Orthogonal polynomials; Legendre polynomials; Spherical Harmonics | [1] pp. 507-640 |
| 11 | Hermit polynomials; Laguerre polynomials; Bessel functions | [1] pp. 507-640 |
| 12 | Complex Functions; Complex integration | [1] pp. 824-867 |
| 13 | Residue theorem and its applications | [1] pp. 824-867 |
| 14 | Fourier Transforms; Laplace Transforms | [1] pp. 433-459 |
| Kaynaklar | |
|---|---|
| Ders Notu | [1] K. F. Riley, M. P. Hobson, S. J. Bence, Mathematical Methods for Physics and Engineering, Cambridge University Press, March 2006 |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, | X | |||||
| 2 | Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, | X | |||||
| 3 | To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques | X | |||||
| 4 | Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. | ||||||
| 5 | Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, | X | |||||
| 6 | Ability of accessing information and doing research. Skill of using databases and other information sources. | ||||||
| 7 | Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility, | ||||||
| 8 | Ability to make oral or written communication in Turkish. At least one foreign language knowledge, | ||||||
| 9 | Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. | X | |||||
| 10 | Consciousness of occupational and ethical responsability, | X | |||||
| 11 | Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 10 |
| 2. Kısa Sınav | 10 |
| 1. Ödev | 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 | 5 | 80 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 4 | 8 |
| Assignment | 1 | 6 | 6 |
| Final examination | 1 | 8 | 8 |
| Toplam İş Yükü | 155 | ||
| Toplam İş Yükü / 25 (Saat) | 6,2 | ||
| Dersin AKTS Kredisi | 6 | ||