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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| PHYSICS PR. | |
| Code | FZ237 |
| Name | Mathematics for Physics |
| Term | 2017-2018 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYSEL KAYIŞ TOPAKSU |
| Course Instructor |
Prof. Dr. AYŞE POLATÖZ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To establish a bridge with physics and mathematics for the lecture requiring advanced Mathematical methods.
Course 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.
Course Precondition
Resources
Notes
Fizik için Matematik Ders notları, Prof. Dr. Süleyman Bozdemir
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Become aware of the relationship between linear equations and matrices |
| LO02 | Identifies determinant and evaluates the systems of linear equations with the help of the of the determinant |
| LO03 | identify and apply linear dependence, linear independence concepts of and the base |
| LO04 | identify eigenvalues and eigenvectors and find eigenvalues and eigenvectors for a given matrix |
| LO05 | interpret relations among the concepts of system of linear equations, determinants, linear dependence, linear independence, eigenvalues ??and eigenvectors |
| LO06 | Remember and use the vector differential operators |
| LO07 | use integral theorems |
| LO08 | use curvilinear coordinates for the purposes |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the basic concepts and principles in the field of physics. | |
| PLO02 | - | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | |
| PLO03 | - | Combine the knowledge in the field of physics with the other scientific area. | |
| PLO04 | - | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | |
| PLO05 | - | Explain the methods of producing scientific knowledge in the field of physics. | |
| PLO06 | - | Reach the Information in the field of physics, for the purpose of classification, and uses. | |
| PLO07 | - | Use the advanced theoretical and practical knowledge acquired in the field of physics. | |
| PLO08 | - | Design experiments in the field of physics. | |
| PLO09 | - | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | |
| PLO10 | - | Use the information technologies in Physics area for their purpose. | |
| PLO11 | - | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO12 | - | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | |
| PLO13 | - | Classify, use and critically evaluate the knowledg taken by his/her efforts. | |
| PLO14 | - | Know that learning process is life-long and acts accordingly. | |
| PLO15 | - | 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. | |
| PLO16 | - | Have knowledge of a foreign language at least monitoring developments in the field of physics. | |
| PLO17 | - | Know the importance of individual development. | |
| PLO18 | - | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vectors and vector operations, differentiation of vectors | Study the relevant chapter in the book | |
| 2 | inner product spaces, Gram-Schmidt porcess, directional derivative | Study the relevant chapter in the book | |
| 3 | gradient, divergance, rotational and their physical meaning | Study the relevant chapter in the book | |
| 4 | matrices and matrix operations | Study the relevant chapter in the book | |
| 5 | determinants, rank, inverse of a matrix | Study the relevant chapter in the book | |
| 6 | Span, linear independence | Study the relevant chapter in the book | |
| 7 | homogenous and non-homogenous systems of linear equations, Gauss-Jordan method | Study the relevant chapter in the book | |
| 8 | Mid-term exam | Mid-term exam | |
| 9 | eigenvalues and eigenvectors | Study the relevant chapter in the book | |
| 10 | similarity transformation, diagonalization of matrices | Study the relevant chapter in the book | |
| 11 | solution of systems of linear differential equations. | Study the relevant chapter in the book | |
| 12 | solution of systems of linear differential equations. | Study the relevant chapter in the book | |
| 13 | Curvilinear coordinates | Study the relevant chapter in the book | |
| 14 | Coordinat transformations | Study the relevant chapter in the book | |
| 15 | Coordinat transformations | Study the relevant chapter in the book | |
| 16 | Final exam | Final exam | |
| 17 | Final exam | Final exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |