COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics for Physics FZ   237 3 4 4 6

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof. Dr. Hamide KAVAK
Instructors
Prof. Dr.AYŞE POLATÖZ1. Öğretim Grup:A
Prof. Dr.AYŞE POLATÖZ2. Öğretim Grup:A
 
Assistants
Goals
To establish a bridge with physics and mathematics for the lecture requiring advanced Mathematical methods.
Content
Vectors, vector operations, derivative of vector functions, inner product spaces,Gram-Schmidt Process, directional derivative, gradient, divergance, rotational and their physical meaning,stokes and divergance theorems, matrices and matrix operations, determinants, rank, inverse of a matrix, homogenous and non-homogenous systems of linear equations, Gauss-Jordan method, eigenvalues and eigenvektors, similarity transformation, diagonalization of matrices, solution of systems of linear differential equations.

Learning Outcomes
1) Become aware of the relationship between linear equations and matrices
2) Identifies determinant and evaluates the systems of linear equations with the help of the of the determinant
3) identify and apply linear dependence, linear independence concepts of and the base
4) identify eigenvalues and eigenvectors and find eigenvalues and eigenvectors for a given matrix
5) interpret relations among the concepts of system of linear equations, determinants, linear dependence, linear independence, eigenvalues ??and eigenvectors
6) Remember and use the vector differential operators
7) use integral theorems
8) use curvilinear coordinates for the purposes


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the basic concepts and principles in the field of physics.
X
2
Evaluate the developmets in the field of Physics by using scientific methods and techniques.
X
3
Combine the knowledge in the field of physics with the other scientific area.
X
4
Identify problems in the field of physics and for the solutions apply the analytical and simulative methods.
X
5
Explain the methods of producing scientific knowledge in the field of physics.
X
6
Reach the Information in the field of physics, for the purpose of classification, and uses.
X
7
Use the advanced theoretical and practical knowledge acquired in the field of physics.
X
8
Design experiments in the field of physics.
X
9
Inform the specialist or non-specialist groups, orally or in writing on issues related to physics.
X
10
Use the information technologies in Physics area for their purpose.
X
11
Take responsibility as a team or alone to overcome the problems encountered in the field of physics .
X
12
Plan and manage the activities for the professional developments of emplyees under his/her responsibilities.
X
13
Classify, use and critically evaluate the knowledg taken by his/her efforts.
X
14
Know that learning process is life-long and acts accordingly.
X
15
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.
X
16
Have knowledge of a foreign language at least monitoring developments in the field of physics.
X
17
Know the importance of individual development.
X
18
Monitor the developments in the field of physics, learn and evaluate in terms of social ethics.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Vectors and vector operations, differentiation of vectors Study the relevant chapter in the book Lecture
Question-Answer
Problem Solving
2 inner product spaces, Gram-Schmidt porcess, directional derivative Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
3 gradient, divergance, rotational and their physical meaning Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
4 matrices and matrix operations Study the relevant chapter in the book Lecture
Discussion
Homework
5 determinants, rank, inverse of a matrix Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
6 Span, linear independence Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
7 homogenous and non-homogenous systems of linear equations, Gauss-Jordan method Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
8 Mid-term exam Mid-term exam Testing
9 eigenvalues and eigenvectors Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
10 similarity transformation, diagonalization of matrices Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
11 solution of systems of linear differential equations. Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
12 solution of systems of linear differential equations. Study the relevant chapter in the book Lecture
Question-Answer
Discussion
Problem Solving
13 Curvilinear coordinates Study the relevant chapter in the book Lecture
Discussion
Problem Solving
14 Coordinat transformations Study the relevant chapter in the book Lecture
Question-Answer
Problem Solving
15 Coordinat transformations Study the relevant chapter in the book Lecture
Discussion
Problem Solving
16-17 Final exam Final exam Testing

Recommended or Required Reading
Textbook
Additional Resources
Fizik için Matematik Ders notları, Prof. Dr. Süleyman Bozdemir