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Course Description Course Name : Mathematics for Physics I Course Code : FZ 237 Course Type : Compulsory Level of Course : First Cycle Year of Study : 2 Course Semester : Fall (16 Weeks) ECTS : 8 Name of Lecturer(s) : Prof.Dr. AYŞE POLATÖZ Learning Outcomes of the Course : Become aware of the relationship between linear equations and matrices Identifies determinant and evaluates the systems of linear equations with the help of the of the determinant identify and apply linear dependence, linear independence concepts of and the base identify eigenvalues and eigenvectors and find eigenvalues and eigenvectors for a given matrix interpret relations among the concepts of system of linear equations, determinants, linear dependence, linear independence, eigenvalues ??and eigenvectors Remember and use the vector differential operators use integral theorems use curvilinear coordinates for the purposes Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To establish a bridge with physics and mathematics for the lecture requiring advanced Mathematical methods. Course Contents : 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. Language of Instruction : Turkish Work Place : Lecture Halls of Art and Science Faculty   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Vectors and vector operations, differentiation of vectors Study the relevant chapter in the book Lecture, discussion 2 inner product spaces, Gram-Schmidt porcess, directional derivative Study the relevant chapter in the book Lecture, discussion 3 gradient, divergance, rotational and their physical meaning Study the relevant chapter in the book Lecture, discussion 4 matrices and matrix operations Study the relevant chapter in the book Lecture, discussion 5 determinants, rank, inverse of a matrix Study the relevant chapter in the book Lecture, discussion 6 Span, linear independence Study the relevant chapter in the book Lecture, discussion 7 homogenous and non-homogenous systems of linear equations, Gauss-Jordan method Study the relevant chapter in the book Lecture, discussion 8 Mid-term exam Mid-term exam Mid-term exam 9 eigenvalues and eigenvectors Study the relevant chapter in the book Lecture, discussion 10 similarity transformation, diagonalization of matrices Study the relevant chapter in the book Lecture, discussion 11 solution of systems of linear differential equations. Study the relevant chapter in the book Lecture, discussion 12 solution of systems of linear differential equations. Study the relevant chapter in the book Lecture, discussion 13 Curvilinear coordinates Study the relevant chapter in the book Lecture, discussion 14 Coordinat transformations Study the relevant chapter in the book Lecture, discussion 15 Coordinat transformations Study the relevant chapter in the book Lecture, discussion 16/17 Final exam Final exam Final exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  1. Fizik ve Mühendislikte Matematik Yöntemler Bekir Karaoğlu 3. basım Güven Yayınları  2. Fizikte Matematik Metodları Coşkun Önem Birsen Yayınevi 1998  3. Fen ve Mühendislik Bilimlerinde Matematik Yöntemler, Selcuk Ş.Bayın ders Kitapları A.Ş. Ankara 2004  4. Matematical Methods in The Physical Sciences Marry L.BOAS, Jhon Wiley 1983  5. Matematical Methods of Physics Jon Mathews R.L. Walker W.A. Benjamin Inc.1970  6. Matematical Methods for Physicsts , G.B. Afken- H.S.Weber Fourt Editon, 1995  Fizik için Matematik Ders notları, Prof. Dr. Süleyman Bozdemir Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 2 80     Homeworks/Projects/Others 14 20 Total 100 Rate of Semester/Year Assessments to Success 40   Final Assessments 100 Rate of Final Assessments to Success 60 Total 100   Contribution of the Course to Key Learning Outcomes # Key Learning Outcome Contribution* 1 Have knowledge of a foreign language at least monitoring developments in the field of physics. 0 2 Know the importance of individual development. 3 3 Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. 1 4 Design experiments in the field of physics. 0 5 Explain the basic concepts and principles in the field of physics. 1 6 Evaluate the developmets in the field of Physics by using scientific methods and techniques. 3 7 Combine the knowledge in the field of physics with the other scientific area. 5 8 Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. 3 9 Explain the methods of producing scientific knowledge in the field of physics. 2 10 Reach the Information in the field of physics, for the purpose of classification, and uses. 1 11 Use the advanced theoretical and practical knowledge acquired in the field of physics. 0 12 Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. 0 13 Use the information technologies in Physics area for their purpose. 0 14 Take responsibility as a team or alone to overcome the problems encountered in the field of physics . 0 15 Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. 0 16 Classify, use and critically evaluate the knowledg taken by his/her efforts. 0 17 Know that learning process is life-long and acts accordingly. 0 18 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. 0 * Contribution levels are between 0 (not) and 5 (maximum).   Student Workload - ECTS Works Number Time (Hour) Total Workload (Hour) Course Related Works     Class Time (Exam weeks are excluded) 14 4 56     Out of Class Study (Preliminary Work, Practice) 14 4 56 Assesment Related Works     Homeworks, Projects, Others 14 6 84     Mid-term Exams (Written, Oral, etc.) 2 2 4     Final Exam 1 2 2 Total Workload: 202 Total Workload / 25 (h): 8.08 ECTS Credit: 8