COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics for Physics FZ   238 4 4 4 7

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Hamide KAVAK
Instructors
Prof.Dr.AYŞE POLATÖZ1. Öğretim Grup:A
Prof.Dr.AYŞE POLATÖZ2. Öğretim Grup:A
 
Assistants
Goals
As all applied sciences, build a bridge between courses equire the use of a high level and a heavier mathematics in the physics disciplines as well
Content
omplex analysis; Complex numbers, algebra of complex numbers Complex plane and polar form of complex numbers De Moivre formula, Euler formula Region in complex plane, basic complex functions, mapping of complex functions Analytical functions, derivative, limit and continuity, Cauchy-Riemann equation, Harmonic functions. İntegral in complex plane and series Cauchy thaorem Basic formulas for integral calculation, Cauchy integral formula Series expansion of analytic functions Residue theorem, techniques to calculate Residue and calculation of integrals

Learning Outcomes
1) Defines the complex numbers, makes the four operations
2) define regions in the complex plane
3) define analytical function
4) Define and calculate the harmonic conjugate
5) take complex integral


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the basic concepts and principles in the field of physics.
X
2
Evaluate the developmets in the field of Physics by using scientific methods and techniques.
X
3
Combine the knowledge in the field of physics with the other scientific area.
X
4
Identify problems in the field of physics and for the solutions apply the analytical and simulative methods.
X
5
Explain the methods of producing scientific knowledge in the field of physics.
X
6
Reach the Information in the field of physics, for the purpose of classification, and uses.
X
7
Use the advanced theoretical and practical knowledge acquired in the field of physics.
X
8
Design experiments in the field of physics.
9
Inform the specialist or non-specialist groups, orally or in writing on issues related to physics.
X
10
Use the information technologies in Physics area for their purpose.
X
11
Take responsibility as a team or alone to overcome the problems encountered in the field of physics .
X
12
Plan and manage the activities for the professional developments of emplyees under his/her responsibilities.
X
13
Classify, use and critically evaluate the knowledg taken by his/her efforts.
X
14
Know that learning process is life-long and acts accordingly.
X
15
Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve himself/herself accordingly.
X
16
Have knowledge of a foreign language at least monitoring developments in the field of physics.
X
17
Know the importance of individual development.
X
18
Monitor the developments in the field of physics, learn and evaluate in terms of social ethics.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Complex analysis; Complex numbers, algebra of complex numbers Study the relevant chapter in the book Lecture
Drilland Practice
Problem Solving
2 Complex plane and polar form of complex numbers Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
3 De Moivre formula, Euler formula Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Drilland Practice
Problem Solving
4 Region in complex plane, basic complex functions, mapping of complex functions Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
5 Analytical functions, derivat,ve, limit and continuity Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Drilland Practice
Problem Solving
6 Cauchy-Riemann equation, Harmonic functions. Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
7 İntegral in complex plane and series Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
8 Mid-term exam Mid-term exam Testing
9 Cauchy thaorem Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
10 Basic formulas for integral calculation, Cauchy integral formula Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
11 Limits of some integrals, Jordan theorem, derivative of regular functions Study the relevant chapter in the book Lecture
Discussion
Problem Solving
12 Series expansion of analytic functions Study the relevant chapter in the book Question-Answer
Discussion
Problem Solving
13 Series expansion of analytic functions Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
14 Residue theorem, techniques to calculate Residue and calculation of integrals Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
15 Residue theorem, techniques to calculate Residue and calculation of integrals Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
16-17 Final exam Final exam Testing

Recommended or Required Reading
Textbook
Additional Resources
Kompleks Değişkenler Ve Uygulamaları, Ruel V. Churchill and James Ward Brown. Beşinci Basım, McGraw-Hill Uluslararası yayınları