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Course Description Course Name : Mathematical Methods in Physics I Course Code : FK-501 Course Type : Compulsory Level of Course : Second Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 6 Name of Lecturer(s) : Prof.Dr. AYŞE POLATÖZ Learning Outcomes of the Course : Gains the ability to apply mathematics to different physics problems. Makes physical cases be understood in a basic level and defined with mathematical terms. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To teach necessary advanced mathematical terms and the applications for post graduate Physics and Engineering students who will do research in various fields. Course Contents : İnfinite Series, power series, partial differentiation, multiple integrals, ordinary differential equations, calculus of variation, special functions, series solutions of differential equations. Language of Instruction : English Work Place : Lecture hall of faculty   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 İnfinite Series; Geometric series, Convergent and Divergent Series, test for convergence of Series reading the chapter in textbook Lecture 2 Power Series, İnterval of convergence, expanding functions in power series, some uses of serie reading the chapter in textbook Lecture 3 Partial Differentiation:Total differentials, chain rule, implicit differentiation, reading the chapter in textbook Lecture 4 Partial Differentiation:maximum anda minumum problems, change of variables, Differentiation of integrals: Leibniz rule reading the chapter in textbook Lecture 5 Multiple Integrals: Double and triple integrals, application of integration, reading the chapter in textbook Lecture 6 Multiple Integrals: change of variables in integrals;Jacobians, surface integrals reading the chapter in textbook Lecture 7 Ordinary Differential Equations:Separable equations, first order equations reading the chapter in textbook Lecture 8 Midterm Exam Midterm Exam Midterm Exam 9 Ordinary Differential Equations:Second order equations reading the chapter in textbook Lecture 10 Calculus of Variation reading the chapter in textbook Lecture 11 Special functions: factorial and gamma functions, recursion relation, gamma function of negative numbers reading the chapter in textbook Lecture 12 Special functions: Beta and Error functions, Stirling formula, eliptic integrals reading the chapter in textbook Lecture 13 Series Solutions of Differential Equations: Legendre equations, Rodrigues formula, legendre polynomials,, the associated Legendre functions, reading the chapter in textbook Lecture 14 Series Solutions of Differential Equations: Bessel Equations, Bessel functions, Other kind of Bessel functions, reading the chapter in textbook Lecture 15 hermite and Laguerre functions, ladder operators. reading the chapter in textbook Lecture 16/17 Final Exam Final Exam Final Exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Mathematical Methods in the Physical Sciences, Mary L. Boas Required Course Material(s)  Advanced Mathematics in Physics and Engineering, Arthur Bronwell  Mathematical Methods for Physicists, George Arfken   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 80     Homeworks/Projects/Others 1 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 Develop and deepen the knowledge as a specialist in physics or different areas based on the Physics Bachelor´s qualification level. 2 2 Comprehend the importance of multidisciplinary studies related to Physics. 3 3 Use his/her advanced theoretical and practical knowledge in Physics efficiently. 3 4 Integrate and interpret the knowledge from different disciplines with the help of his professional knowledge in Physics and conceptualize new perspectives. 4 5 Solve the problems in Physics by using research methods. 3 6 Carry out a study requiring expertise in physics independently. 2 7 Develop and provide new strategic approaches by taking responsibilty while solving the unexpected problems in Physics . 2 8 Take the responsibility of being the leader while solving the problems related to physical environments. 0 9 Evaluate the knowledge and skills gained in Physics by having a critical view and directs his/her learning. 2 10 Systematically transfer the current developments in the field of physics and his/her work to the person in physics field or outside of the field by supporting qualitative and quantitative data. 0 11 Take action to change the norms of social relations and critically examine these relationships, and develop them if necessary. 0 12 Make communication in oral and written by using at least one foreign language in the level of European Language Portfolio B2 level. 1 13 Use information and communication technologies in advanced level and use the software related with physics area. 0 14 Oversee social, scientific, cultural and ethical values in order to collect, implement, interpret data in Physics. 0 15 Develop strategies, policies and implementation plans in the issues related to the field of physics and evaluate the results obtained within the framework of quality processes. 0 16 Use the knowledge, problem solving, and / or practical skills obtained in the Physics Field in interdisciplinary studies. 2 * 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 1 10 10     Mid-term Exams (Written, Oral, etc.) 1 14 14     Final Exam 1 14 14 Total Workload: 150 Total Workload / 25 (h): 6 ECTS Credit: 6