FZK201 Mathematics for Physics

5 ECTS - 4-0 Duration (T+A)- 3. Semester- 4 National Credit

Information

Code FZK201
Name Mathematics for Physics
Term 2023-2024 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. AYSEL KAYIŞ TOPAKSU (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 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

Update Time: 03.05.2023 05:42