COURSE SYLLABUS

PHYSICAL MATHEMATICS I

1	Course Title:	PHYSICAL MATHEMATICS I
2	Course Code:	FZK2003
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
7	ECTS Credits Allocated:	8
8	Theoretical (hour/week):	5
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	No
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. İLHAN TAPAN
16	Course Lecturers:	Prof. Dr. Emin N. Özmutlu
17	Contactinformation of the Course Coordinator:	ilhan@uludag.edu.tr, 0 224 29 41 698, UÜ Fen Edebiyat Fakültesi, Fizik Bölümü 16059 Görükle Kampüsü Bursa
18	Website:
19	Objective of the Course:	1. To teach the method of mathematical physics 2. To teach special mathematical methods used in physics 3. To give the ability of practical solution to the problems 4. To show the application of the mathematics to the current physics problems.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Learns mathematical physics.;
2	Learns the application of mathematics problems in physics;
3	Gains practical thinking capability;
4	Learns the concept of vector and scalar;
5	Learns the coordinate systems;
6	Learn to solve the problem in the coordinate systems;
7	Learns Gradient, Divergence and Curl operators;
8	Learns the properties of vector fields;
9	Makes application of Green's theorem and Stokes theorem.;
10	Learns the expression of Del operator in coordinate systems;

22	Course Content:

Week	Theoretical	Practical
1	Matrices, equal matrices, square matrices, the column matrices, matrix operations, transpose of the matrix, symmetric matrix, orthogonal matrix, the Hermitien matrix. Matrix form of vectors, determinant.
2	Solution of homogeneous equations systems using with determinant. Eigenvalues and eigenvectors. To obtain eigenvalues and eigenvectors for non-symmetric and symmetric matrices.
3	Vectors. Addition and subtraction of vectors. Scalar product of vectors. The presence of the unit vector perpendicular to a plane. Vector multiplication. Direction cosines.
4	Vectors in the coordinate systems. Expression of vectors in cartesian coordinates, spherical coordinate system, Cylindrical coordinate system and polar coordinate system. Derivatives of vectors in the coordinate systems.
5	Expressions of a vector velocity and acceleration in cartesian, polar, cylindrical and spherical coordinate systems.
6	length of the curve calculation in the coordinate systems. First exam
7	Normal and tangential components of the curves. Unit tangent vector and unit normal vector. Curvature radius of a curve. Applications in cartesian and polar coordinate systems.
8	Normal and tangential components of velocity and acceleration for an object moving on a curve.
9	Area and volume calculations in the coordinate systems,. The concept of solid angle.
10	Integrals of vectors. Conservative and nonconservative force fields. Partial differentiation. Error calculation. Higher order partial derivatives.
11	Scalar and vector fields. Gradient of a scalar field. Directional derivative. Gradient. Divergence. Divergence theorem. Rotation operator.
12	Vector fields. İrrotational and solenoidal fields. Laplace operator. Second exam
13	Green's theorem. Stokes' theorem. Properties of conserved fields. Applications of the theorems in coordinate systems
14	Del, Gradient, Divergence, Curl and Laplace operators in the cartesian, cylindrical and spherical coordinate systems.

23	Textbooks, References and/or Other Materials:	1. İleri Analiz, Prof Dr. Saffet Süray, Güven Kitabevi, 1978 2. Fizikçiler ve Mühendisler için kısmi diferansiyel denklemler, Yaşar Pala, Ahmet Cengiz, Mürsel Alper, Uludağ Üniv. Basımevi, 2000 3. Matrisler, Gülsüm Oral, Güven Kitabevi, 1980 4. Fizik ve Mühendislikte Matematik Yöntemler, Emine Öztürk, Seçkin Yayıncılık, 2011
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	2	50
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	50
Total	3	100
Contribution of Term (Year) Learning Activities to Success Grade		50
Contribution of Final Exam to Success Grade		50
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	5	70
Practicals/Labs	0	0	0
Self Study and Preparation	14	5	70
Homeworks, Performances	0	5	70
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	2	2	4
Others	14	2	28
Final Exams	1	2	2
Total WorkLoad			244
Total workload/ 30 hr			8,13
ECTS Credit of the Course			8

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

	PQ1	PQ2	PQ3	PQ5	PQ6	PQ7	PQ8	PQ9	PQ10	PQ11	PQ12
LO1	2	4	5	2	2	4	1	3	4	2	2
LO2	3	5	5	2	2	3	1	4	3	2	2
LO3	2	5	4	2	2	4	1	3	5	3	1
LO4	3	4	5	2	2	4	1	3	4	2	2
LO5	3	4	5	2	2	4	1	3	4	2	2
LO6	3	4	5	2	2	4	1	3	4	2	2
LO7	3	4	5	2	2	4	1	3	4	2	2
LO8	3	4	5	2	2	4	1	3	4	2	2
LO9	3	4	5	2	2	4	1	3	4	2	2
LO10	3	4	5	2	2	4	1	3	4	2	2

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High