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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATH. METHODS IN PHYSICS SCI. 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 Dr.Öğr.Üyesi NAGİHAN DELİBAŞ
Dersi Verenler Dr.Öğr.Üyesi NAGİHAN DELİBAŞ
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
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - Defines vector and vector algebra. 1 - 2 - 14 - 15 - A - C -
2 - Summarizes orthogonal coordinate systems. 1 - 4 - 14 - 15 - A - C -
3 - Explains integral theorems with examples. 1 - 4 - 14 - 15 - A - C -
4 - Defines the concept of lineer vector space and lineer operator. 1 - 4 - 14 - 15 - A - C -
5 - Classifies matrices according to their properties. 1 - 2 - 14 - 15 - A - C -
6 - Calculates the eigenvalue of a matrix and finds its eigenvectors. 1 - 4 - 14 - 15 - A - C -
7 - Classifies the special functions and determines relations between special functions and physical problems. 1 - 4 - 14 - 15 - A - C -
8 - Defines complex numbers, expresses complex functions with examples. 1 - 4 - 14 - 15 - A - C -
9 - Shows how to do a given function of the Fourier and Laplace transforms. 1 - 4 - 14 - 15 - A - C -
Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 14:Self Study 15:Problem Solving 4:Drilland Practice
Ölçme Yöntemleri: A:Testing C:Homework

Ders Akışı

Hafta Konular ÖnHazırlık
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

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
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. X
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

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
KisaSinav 2 10
Odev 1 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

AKTS - İş Yükü

Etkinlik Sayısı Süresi(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(s) 6.2
Dersin AKTS Kredisi 6.2
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