TÜRKÇE
ENGLISH
Information
| Code | FZK201 |
| Name | Mathematics for Physics |
| Term | 2024-2025 Academic Year |
| Semester | 3. 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. AYŞE POLATÖZ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this lesson is to build a bridge between physics and mathematics for the lessons needed an advanced methematic methods.
Course Content
Vectors, vector operations; derivation of vector functions, Gram-Schmidt staggering method, directional derivative, gradient, divergence, rotational operations and physical meanings; Stokes and Divergence theorem; Matrices and matrix operations, special matrices; determinant; rank; the inverse of the matrix; homogeneous and inhomogeneous linear equations systems, Gauss-Jordan Method; eigenvalues and eigenvectors; transformation of similarity, diagonalization of matrices; linear processors are introduced in this lesson.
Course Precondition
None
Resources
Fizikte ve Mühendislikte Matematiksel Yöntemler, Bekir Karaoğlu
Notes
Linear Algebra, Seymour Upschutz and Marc Lipson
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Establish relationships between linear equation systems and matrices. |
| LO02 | Solve linear equations systems using determinant. |
| LO03 | Define the linear dependence, linear independence, and base concepts. |
| LO04 | Define eigenvalues and eigenvectors. |
| LO05 | Find the eigenvalues and eigenvectors for a given matrix. |
| LO06 | Explicate the relationship between the lineer equation system, determinant, linear dependence, linear independence, eigenvalue and eigenvector. |
| LO07 | Use vector differential operators. |
| LO08 | Use integral theorems. |
| LO09 | Uses curvilinear coordinates in line with their purposes. |
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. | 3 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Improves himself by knowing that the learning process is lifelong. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Knowing the importance of individual development, she/he implements what is necessary. | |
| 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 | Vectors, Vector Operations, Derivation of Vector Functions | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Gradient, Divergence, Rotational Operations and Physical Applications-I. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Gradient, Divergence, Rotational Operations and Physical Applications-II. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Stokes and Divergence theorems and their applications. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Matrices and Matrix Operations, Special Matrices. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Determinant of matrices | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | the inverse of the matrix. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Independent Study | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Rank of matrices | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Introduction to Homogeneous Linear Equation Systems ans its solutions | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Introduction to Nonhomogeneous Linear Equation Systems, Review by Rank Method. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Gauss Elimination Method, Gauss-Jordan Method. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Eigenvalues and Eigenvectors. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Similarity Transformation and Diagonalization of Matrices. | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Gram-Schmidt method, | The relevant sections in the book should be read. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Independent Study | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Independent Study | Ölçme Yöntemleri: Yazılı 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 | ||