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Information
| Unit | INSTITUTE OF NATURAL AND APPLIED SCIENCES |
| PHYSICS (MASTER) (WITH THESIS) | |
| Code | FK009 |
| Name | Mathematical Methods in Physics I |
| Term | 2018-2019 Academic Year |
| Term | Fall |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. METİN ÖZDEMİR |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
To introduce the student the basic mathematical methods used in graduate studies.
Course Content
Vector analysis, Determinant and matrices, infinite series, diferential equations, variational anaysis.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands the precision nature of mathematical expressions. |
| LO02 | Understands vector analysisi and its relation with physics. |
| LO03 | Understands how to solve differential equations. |
| LO04 | Understands infinite series. |
| LO05 | Understands the relation between mathematics and physics. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has sufficient infrastructure in various subjects of Physics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Interpret observational and experimental results. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Has a knowledge about the logic of scientific research. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Report the solution of a physics problem, experimental results or projects in a written format or orally. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Chooses and uses the necessary publications, books and methods for a scientific research. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Provides solutions to the problems encountered in the physics field applying research methods. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Can perform an independent research. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Can perform group work effectively in a research or industrial projects. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Becomes conscious of the necessity of lifelong learning. | 3 |
| PLO13 | Bilgi - Kuramsal, Olgusal | To keep track of the developments in physics and updates himself/herself invariably. | 3 |
| PLO14 | Bilgi - Kuramsal, Olgusal | Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Can make an effective written or oral presentation of the results obtained in a study. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. | 3 |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has a foundation necessary to work in a research and development organizations. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vector analysis, vektor operations | Study the relevand section of the Textbook. | |
| 2 | Gradient, divergance, curl | Study the relevand section of the Textbook. | |
| 3 | Vector theorems | Study the relevand section of the Textbook. | |
| 4 | Determinants | Study the relevand section of the Textbook. | |
| 5 | Matrices | Study the relevand section of the Textbook. | |
| 6 | Eigenvalues and eigenvectors | Study the relevand section of the Textbook. | |
| 7 | İnfinite series, basic definitions, convergence tests | Study the relevand section of the Textbook. | |
| 8 | Mid-Term Exam | Mid-term exam | |
| 9 | Function series | Study the relevand section of the Textbook. | |
| 10 | Differential equations, their classification | Study the relevand section of the Textbook. | |
| 11 | First order differential equations | Study the relevand section of the Textbook. | |
| 12 | Two or higher order differential equations | Study the relevand section of the Textbook. | |
| 13 | Series solutions of differential equations | Study the relevand section of the Textbook. | |
| 14 | Method of Frobenius | Study the relevand section of the Textbook. | |
| 15 | Introduction to variational analysis | Study the relevand section of the Textbook. | |
| 16 | Term Exams | Final exams | |
| 17 | Term Exams | Final exams |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 2 | 2 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 159 | ||
| Total Workload / 25 (h) | 6,36 | ||
| ECTS | 6 ECTS | ||