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Course Description Course Name : Theoretical Mechanics Course Code : FZ 336 Course Type : Compulsory Level of Course : First Cycle Year of Study : 3 Course Semester : Spring (16 Weeks) ECTS : 8 Name of Lecturer(s) : Prof.Dr. METİN ÖZDEMİR Learning Outcomes of the Course : Knows the variational anaysis in its simplest form. Knwos how to derive Lagrange equations using variational analysis. For a given system, knows how to write the Lagrangian function and then find the Euler-Lagrange equations. Knows how to apply Newton´s laws to a system of particles. Knows the form of interaction between particles and the consequences of these. Has knowledge on rotational motion and its properties. Has knowledge on the energy, mometum and center of mass of a system of particles and can solve problesm relevant to these subjects. Knows the moment of inertia and can calculate it for various common geometries. Knows some properties of rocket motion. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : The purpose of this course is to familiarize the students with Newton´s laws of motion and Euler-Lagrange equations; to show how these can be applied to various problems and how to solve the resulting equations. The studenst are expected to have taken the standart math and physics courses during their freshman and sophomore years. Course Contents : Variational anaysis, Lagrange equations using variational analysis, interaction between particles, moment of inertia, rocket motion 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 Introduction to variational analysis Make preperation related with subject lecture, discussion 2 Variational analysis (cont´d), Euler´s equation Make preperation related with subject lecture, discussion 3 Hamilton´s priciple, Lagrangian function and Euler-Lagrange equations Make preperation related with subject lecture, discussion 4 Lagrangian function and Euler-Lagrange equations (cont´d) Make preperation related with subject lecture, discussion 5 Applications of Euler-Lagrange equations Make preperation related with subject lecture, discussion 6 Hamilton´s equations Make preperation related with subject lecture, discussion 7 Th edynamics of a system of particles; center of mass; lineer and angular momentum; energy Make preperation related with subject lecture, discussion 8 Mid-term exam Mid-term exam Mid-term exam 9 Collision of two particles, elastic and inelastic collisions Make preperation related with subject lecture, discussion 10 Rocket motion Make preperation related with subject lecture, discussion 11 Rotation about a fixed axis Make preperation related with subject lecture, discussion 12 Moment of inertia and its calculation for various geometries Make preperation related with subject lecture, discussion 13 Motion in a non-inertial frame Make preperation related with subject lecture, discussion 14 Coriolis force, equations of motion and their solutions Make preperation related with subject lecture, discussion 15 Coriolis force, equations of motion and their solutions (cont´d) Make preperation related with subject lecture, discussion 16/17 Final examination Final examination Final examination   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  1. Calssical Dynamics of systems and particles, by Marion and Thornton, 5th ed.  2. Any freshman physics course text book, e.g., Fundamnetals of Physics by Resnick and Holliday. 3. Any text book on differential equations. 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. 3 3 Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. 3 4 Design experiments in the field of physics. 2 5 Explain the basic concepts and principles in the field of physics. 5 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. 4 8 Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. 5 9 Explain the methods of producing scientific knowledge in the field of physics. 5 10 Reach the Information in the field of physics, for the purpose of classification, and uses. 4 11 Use the advanced theoretical and practical knowledge acquired in the field of physics. 5 12 Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. 4 13 Use the information technologies in Physics area for their purpose. 3 14 Take responsibility as a team or alone to overcome the problems encountered in the field of physics . 2 15 Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. 3 16 Classify, use and critically evaluate the knowledg taken by his/her efforts. 3 17 Know that learning process is life-long and acts accordingly. 3 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. 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 14 6 84     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