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Course Description Course Name : Mathematical Methods in Dynamical Diffusion Course Code : FK-612 Course Type : Optional Level of Course : Second Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 6 Name of Lecturer(s) : Assoc.Prof.Dr. MEHMET KARAKILÇIK Learning Outcomes of the Course : Describes the diffusion Writes diffusion equations in a plane sheet, cylinder and sphere Calculates the diffusion coefficients Describes the diffusion of different medium(in gases, liquids and solutions) Defines the simultaneous diffusion of heat and moisture Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : FK-501 Mathematical Methods in Physics I Recommended Optional Programme Components : None Aim(s) of Course : This course aims to help students make single-and multi-dimensional mathematical models in and dynamic diffusion, and, determine the factors of diffusion of liquid and gaseous fluids according to these models. Course Contents : The diffusion equations Methods of solution when the diffusion coefficient is constant Diffusion in a plane sheet Diffusion in a cylinder Diffusion in a sphere Concentration–dependent diffusion Numerical methods Midterm Exam Some calculated results for variable diffusion coefficients The definition and measurement of diffusion coefficients Non-Fickian Diffusion Diffusion in heterogeneous media Diffusion and chemical reaction Simultaneous diffusion of heat and moisture Language of Instruction : Turkish Work Place : Seminar Hall of Department of Physics   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 The diffusion equations Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 2 Methods of solution when the diffusion coefficient is constant Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 3 Diffusion in a plane sheet Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 4 Diffusion in a cylinder Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 5 Diffusion in a sphere Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 6 The diffusion equations Methods of solution when the diffusion coefficient is constant Diffusion in a plane sheet Diffusion in a cylinder Diffusion in a sphere Concentration –dependent diffusion Numerical methods Midterm Exam Some calculated Results for variable diffusion coefficients The definition and measurement of diffusion coefficients Non-Fickian Diffusion Diffusion in heterogeneous media Diffusion and chemical reaction Simultaneous diffusion of heat and moisture Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 7 Numerical methods Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 8 Midterm Exam Solving problems related to course topics Written Exam. 9 Some calculated Results for variable diffusion coefficients Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 10 The definition and measurement of diffusion coefficients Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 11 Non-Fickian Diffusion Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 12 Diffusion in heterogeneous media Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 13 Diffusion and chemical reaction Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 14 Diffusion and chemical reaction Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 15 Simultaneous diffusion of heat and moisture Textbooks and other resouces Lecture notes, powerpoint presentation and problem solving, homework 16/17 Final Exam Solving problems related to course topics Written Exam.   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  The Mathematics of Diffusion, Crank, J. Brunel University, Oxford Univ. Press, 1975, Oxford, England Required Course Material(s)   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. 3 2 Comprehend the importance of multidisciplinary studies related to Physics. 4 3 Use his/her advanced theoretical and practical knowledge in Physics efficiently. 4 4 Integrate and interpret the knowledge from different disciplines with the help of his professional knowledge in Physics and conceptualize new perspectives. 3 5 Solve the problems in Physics by using research methods. 5 6 Carry out a study requiring expertise in physics independently. 4 7 Develop and provide new strategic approaches by taking responsibilty while solving the unexpected problems in Physics . 4 8 Take the responsibility of being the leader while solving the problems related to physical environments. 5 9 Evaluate the knowledge and skills gained in Physics by having a critical view and directs his/her learning. 5 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. 3 11 Take action to change the norms of social relations and critically examine these relationships, and develop them if necessary. 3 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. 4 14 Oversee social, scientific, cultural and ethical values in order to collect, implement, interpret data in Physics. 4 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. 3 16 Use the knowledge, problem solving, and / or practical skills obtained in the Physics Field in interdisciplinary studies. 4 * 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