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Course Description Course Name : Differential Equations Course Code : MF 231 Course Type : Compulsory Level of Course : First Cycle Year of Study : 2 Course Semester : Fall (16 Weeks) ECTS : 8 Name of Lecturer(s) : Asst.Prof.Dr. ZEYNEP YAPTI ÖZKURT Learning Outcomes of the Course : Apply the Solution method of differential equation methods to the physics problem establish the diferential equation of the physics problem and solve them Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To apply the solution method of differential equation to physics problem Course Contents : classification of differential equation, solution methods of differential equation, application Language of Instruction : Turkish 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 Classification of differential equations Study the relevant chapter in the book, Lecture and discussion 2 Initial value and boundary value problems and existence of solution Study the relevant chapter in the book, Lecture and discussion 3 Exact differential equation Study the relevant chapter in the book, Lecture and discussion 4 Seperable differential equation, Linear and Bernoulli equations Study the relevant chapter in the book, Lecture and discussion 5 Equations reducible to second rank Study the relevant chapter in the book, Lecture and discussion 6 The basic theory of linear equations, reduction of order Study the relevant chapter in the book, Lecture and discussion 7 Homogeneous equations with constant coefficients and non-homogeneous equations Study the relevant chapter in the book, Lecture and discussion 8 Mid-term exam Mid-term exam Mid-term exam 9 Method of undetermined coefficients and the differential operator Study the relevant chapter in the book, Lecture and discussion 10 Parameter changes, Cauchy-Euler equation Study the relevant chapter in the book, Lecture and discussion 11 Power series solutions of differential equations Study the relevant chapter in the book, Lecture and discussion 12 series solution around the singular point Study the relevant chapter in the book, Lecture and discussion 13 Laplace transforms Study the relevant chapter in the book, Lecture and discussion 14 Inverse Laplace transforms Study the relevant chapter in the book, Lecture and discussion 15 Application of Laplace transforms to the linear equations with constant coefficients Study the relevant chapter in the book, Lecture and discussion 16/17 Final exam Final exam Final exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Differential Equations, Shepley L. Ross, Blaisdell Pub. Co., London, (1964) 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 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. 2 3 Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. 2 4 Design experiments in the field of physics. 0 5 Explain the basic concepts and principles in the field of physics. 2 6 Evaluate the developmets in the field of Physics by using scientific methods and techniques. 4 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. 4 9 Explain the methods of producing scientific knowledge in the field of physics. 3 10 Reach the Information in the field of physics, for the purpose of classification, and uses. 2 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. 2 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 . 1 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. 1 17 Know that learning process is life-long and acts accordingly. 1 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 2 28 Assesment Related Works     Homeworks, Projects, Others 14 8 112     Mid-term Exams (Written, Oral, etc.) 1 2 2     Final Exam 1 2 2 Total Workload: 200 Total Workload / 25 (h): 8 ECTS Credit: 8