TÜRKÇE
ENGLISH
Information
| Code | FZK202 |
| Name | Mathematics for Physics |
| Term | 2022-2023 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYSEL KAYIŞ TOPAKSU |
| Course Instructor |
Prof. Dr. AYSEL KAYIŞ TOPAKSU
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To build a bridge between courses that require the use of mathematics at a high level in physics.
Course Content
Complex numbers, operations and rules with complex numbers; Polar representation of complex numbers, De Moivre formula, Euler formula, regions in the complex plane; basic functions of complex numbers; representation of complex variable functions (mapping); Analytic Functions: Derivative, limit and continuity concepts, Cauchy-Riemann equations, Harmonic functions; integrals and series in complex plane; Cauchy Theorem, series expansion of analytic functions: Taylor and Laurent series; Residue theorem, Real integral solution with the help of Residue theorem.
Course Precondition
None
Resources
Fizikte ve Mühendislikte Matematiksel Yöntemler, Bekir Karaoğlu
Notes
Complex Variables, Murray Spiegel, Seymour Lipschutz, John J. Schiller, Dennis Spellman
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines complex numbers. |
| LO02 | Defines the regions in the complex plane. |
| LO03 | Define analytic function. |
| LO04 | Calculate the harmonic match. |
| LO05 | Calculate the complex integrals |
| LO06 | Solves real integrals by residual method. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and principles in the field of physics. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Combine the knowledge in the field of physics with the other scientific area | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Explain the methods of producing scientific knowledge in the field of physics | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Reach the Information in the field of physics, for the purpose of classification, and uses. | 3 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Use the advanced theoretical and practical knowledge acquired in the field of physics. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Design experiments in the field of physics. | 2 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | 3 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Use the information technologies in Physics area for their purpose. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | 3 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Classify, use and critically evaluate the knowledg taken by his/her efforts. | 3 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Know that learning process is life-long and acts accordingly. | 3 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | 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. | 3 |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have knowledge of a foreign language at least monitoring developments in the field of physics. | |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Know the importance of individual development. | 2 |
| PLO18 | Yetkinlikler - Öğrenme Yetkinliği | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Complex numbers, operations with complex numbers and rules. | The related chapter in the book should be read. | Öğretim Yöntemleri: Anlatım |
| 2 | Polar representation of complex numbers. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 3 | De Moivre formula, Euler formula. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 4 | Areas in the complex plane, the basic functions of complex numbers, the representation of complex variable functions. | The related chapter in the book should be read. | Ölçme Yöntemleri: Sözlü Sınav |
| 5 | Analytic Functions: Derivative, limit and continuity concepts. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 6 | Cauchy-Riemann equations, Harmonic functions. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 7 | Integrals and series in complex plane. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 8 | Mid-Term Exam | Independent Study | Öğretim Yöntemleri: Anlatım |
| 9 | Cauchy Theory | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 10 | The baic formulas of Integralion and Cauchy integral formulas. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 11 | Taylor series | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 12 | Series expansion of analytic functions: Taylor and Laurent series. | The related chapter in the book should be read. | Yöntem Seçilmemiş |
| 13 | Residue Theory and Residue calculation techniques. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 14 | Solution of real integrals with the help of residue theorem. | The related chapter in the book should be read. | Ölçme Yöntemleri: Ödev |
| 15 | Solution of trigonometric real integrals with the help of residue theorem. | The related chapter in the book should be read. | Öğretim Yöntemleri: Soru-Cevap, Tartışma, Problem Çözme |
| 16 | Term Exams | Independent Study | Öğretim Yöntemleri: Soru-Cevap |
| 17 | Term Exams | Ölçme Yöntemleri: Sözlü Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||