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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| PHYSICS PR. | |
| Code | FZK202 |
| Name | Mathematics for Physics |
| Term | 2018-2019 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYSEL KAYIŞ TOPAKSU |
| Course Instructor |
Prof. Dr. AYŞE POLATÖZ
(Bahar)
(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
Resources
Notes
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 | Follows the developments in the field of Physics and uses scientific methods and techniques. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Combine the knowledge gained in the field of Physics with the knowledge in other scientific fields and explains the method of producing scientific knowledge. | |
| 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 | Use the advanced theoretical and practical knowledge he has acquired in the field of Physics and designs experiments related to his field. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Classify, use and critically evaluate the knowledg taken by his/her efforts. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Improves himself by knowing that the learning process is lifelong. | 3 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Knowing the importance of individual development, she/he implements what is necessary. | 2 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Evaluates the developments in the field of physics in terms of social ethics by watching and learning them. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Complex numbers, operations with complex numbers and rules. | The related chapter in the book should be read. | |
| 2 | Polar representation of complex numbers. | The related chapter in the book should be read. | |
| 3 | De Moivre formula, Euler formula. | The related chapter in the book should be read. | |
| 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. | |
| 5 | Analytic Functions: Derivative, limit and continuity concepts. | The related chapter in the book should be read. | |
| 6 | Cauchy-Riemann equations, Harmonic functions. | The related chapter in the book should be read. | |
| 7 | Integrals and series in complex plane. | The related chapter in the book should be read. | |
| 8 | Mid-Term Exam | Independent Study | |
| 9 | Cauchy Theory | The related chapter in the book should be read. | |
| 10 | The baic formulas of Integralion and Cauchy integral formulas. | The related chapter in the book should be read. | |
| 11 | Series expansion of analytic functions: Taylor and Laurent series. | The related chapter in the book should be read. | |
| 12 | Series expansion of analytic functions: Taylor and Laurent series. | The related chapter in the book should be read. | |
| 13 | Residue Theory and Residue calculation techniques. | The related chapter in the book should be read. | |
| 14 | Solution of real integrals with the help of residue theorem. | The related chapter in the book should be read. | |
| 15 | Solution of real integrals with the help of residue theorem. | The related chapter in the book should be read. | |
| 16 | Term Exams | Independent Study | |
| 17 | Term Exams |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||