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:	7
8	Theoretical (hour/week):	5
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	none
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Dr. Ögr. Üyesi CENGİZ AKAY
16	Course Lecturers:	Dr. Öğretim Üyesi Cengiz AKAY
17	Contactinformation of the Course Coordinator:	cenay@uludag.edu.tr Bursa Uludağ Üniversitesi, Fizik Bölümü
18	Website:
19	Objective of the Course:	To process the basic concepts and principles of physics with mathematical approaches and to give them to the student in a clear and logical way.
20	Contribution of the Course to Professional Development	Mathematics is a language and physics uses this language at the highest level. In this course, which is a fusion of physics and mathematics, the student learns to express the basic principles of physics with the language of mathematics.

Learning Outcomes:

1	Learns the vector language in which the mechanical branch, which is considered the basis of physics, expresses itself in the most general terms.;
2	Gains knowledge of vector spaces.;
3	Learns what purpose and how coordinate systems are used.;
4	Understands the importance of curvilinear spaces.;
5	Apart from daily usage, learn to calculate vector under integral sign.;
6	Understands the place and importance of complex numbers in physics.;
7	Learn to integrate with complex numbers.;
8	Solves some very difficult integral operations with the residue method.;
9	Learns to express the laws of physics in abstract vector spaces.;
10	Realizes the physics and mathematics brotherhood.;

22	Course Content:

Week	Theoretical	Practical
1	Vectors, Coordinate systems, Vector and scalar quantities, some of the properties of Vectors, Vector components and unit vectors
2	Vector Analysis
3	Vector Analysis (continued)
4	Curvilinear coordinates
5	Curvilinear coordinates (continued)
6	Vectors under Integral Sign
7	General Review
8	Complex numbers
9	Complex Analysis
10	Complex Integral
11	Residue theorem
12	Residue theorem (continued)
13	Abstract Vector Spaces
14	General Review and Problem Solutions

23	Textbooks, References and/or Other Materials:	* Engineering Mathematics, Anthony Croft • Robert Davison Martin Hargreaves • James Flint, Fifth edition published 2017, Pearson. Introductory Mathematical Analysis, Errıest F. Haeussler, Jr. Richard S. Paul, Richard J. Wood, Prentice Hall MMathematical Methods in The Physical Sciences, Mary L. Boas, Wiley.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Short questions asked in the lesson.
Information	The content of the course is clarified with the answers given to the short questions asked in the course.

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High