TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| PHYSICS PR. | |
| Code | FZ238 |
| Name | Mathematics for Physics |
| Term | 2017-2018 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 7 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite 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
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
Course 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
Course Precondition
Resources
Notes
Kompleks Değişkenler Ve Uygulamaları, Ruel V. Churchill and James Ward Brown. Beşinci Basım, McGraw-Hill Uluslararası yayınları
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines the complex numbers, makes the four operations |
| LO02 | define regions in the complex plane |
| LO03 | define analytical function |
| LO04 | Define and calculate the harmonic conjugate |
| LO05 | take complex integral |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the basic concepts and principles in the field of physics. | |
| PLO02 | - | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | |
| PLO03 | - | Combine the knowledge in the field of physics with the other scientific area. | |
| PLO04 | - | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | |
| PLO05 | - | Explain the methods of producing scientific knowledge in the field of physics. | |
| PLO06 | - | Reach the Information in the field of physics, for the purpose of classification, and uses. | |
| PLO07 | - | Use the advanced theoretical and practical knowledge acquired in the field of physics. | |
| PLO08 | - | Design experiments in the field of physics. | |
| PLO09 | - | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | |
| PLO10 | - | Use the information technologies in Physics area for their purpose. | |
| PLO11 | - | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO12 | - | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | |
| PLO13 | - | Classify, use and critically evaluate the knowledg taken by his/her efforts. | |
| PLO14 | - | Know that learning process is life-long and acts accordingly. | |
| PLO15 | - | 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. | |
| PLO16 | - | Have knowledge of a foreign language at least monitoring developments in the field of physics. | |
| PLO17 | - | Know the importance of individual development. | |
| PLO18 | - | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Complex analysis; Complex numbers, algebra of complex numbers | Study the relevant chapter in the book | |
| 2 | Complex plane and polar form of complex numbers | Study the relevant chapter in the book | |
| 3 | De Moivre formula, Euler formula | Study the relevant chapter in the book | |
| 4 | Region in complex plane, basic complex functions, mapping of complex functions | Study the relevant chapter in the book | |
| 5 | Analytical functions, derivat,ve, limit and continuity | Study the relevant chapter in the book | |
| 6 | Cauchy-Riemann equation, Harmonic functions. | Study the relevant chapter in the book | |
| 7 | İntegral in complex plane and series | Study the relevant chapter in the book | |
| 8 | Mid-term exam | Mid-term exam | |
| 9 | Cauchy thaorem | Study the relevant chapter in the book | |
| 10 | Basic formulas for integral calculation, Cauchy integral formula | Study the relevant chapter in the book | |
| 11 | Limits of some integrals, Jordan theorem, derivative of regular functions | Study the relevant chapter in the book | |
| 12 | Series expansion of analytic functions | Study the relevant chapter in the book | |
| 13 | Series expansion of analytic functions | Study the relevant chapter in the book | |
| 14 | Residue theorem, techniques to calculate Residue and calculation of integrals | Study the relevant chapter in the book | |
| 15 | Residue theorem, techniques to calculate Residue and calculation of integrals | Study the relevant chapter in the book | |
| 16 | Final exam | Final exam | |
| 17 | Final exam | Final exam |
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 |