TÜRKÇE
ENGLISH
Information
| Code | FZK201 |
| Name | Mathematics for Physics |
| 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 Goal
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 | Learn to 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 | 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 | 2 |
| 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 | 3 |
| 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. | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Design experiments in the field of physics. | |
| 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. | 2 |
| 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. | |
| 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 | Vectors, Vector Operations, Derivation of Vector Functions | The relevant sections in the book should be read. | Ölçme Yöntemleri: Sözlü Sınav |
| 2 | Gradient, Divergence, Rotational Operations and Physical Applications-I. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Sözlü Sınav |
| 3 | Gradient, Divergence, Rotational Operations and Physical Applications-II. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 4 | Stokes and Divergence theorems and their applications. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 5 | Matrices and Matrix Operations, Special Matrices. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 6 | Determinant of matrices | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 7 | the inverse of the matrix. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev, Sözlü Sınav |
| 8 | Mid-Term Exam | Independent Study | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Rank of matrices | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 10 | Introduction to Homogeneous Linear Equation Systems ans its solutions | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 11 | Introduction to Nonhomogeneous Linear Equation Systems, Review by Rank Method. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 12 | Gauss Elimination Method, Gauss-Jordan Method. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 13 | Eigenvalues and Eigenvectors. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 14 | Similarity Transformation and Diagonalization of Matrices. | The relevant sections in the book should be read. | Ölçme Yöntemleri: Ödev |
| 15 | Gram-Schmidt method, | The relevant sections in the book should be read. | Ölçme Yöntemleri: Sözlü Sınav |
| 16 | Term Exams | Independent Study | Öğretim Yöntemleri: Problem Çözme |
| 17 | Term Exams | Öğretim Yöntemleri: Problem Çözme |
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 | ||