Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  9101045431998  Analytical Mechanics I  Elective  1  1  8 

Level of Course Unit 
Second Cycle 
Language of Instruction 
Turkish 
Objectives of the Course 
The aim of this lesson; to introduce concepts of mechanics to students and solve problems with the help of these concepts 
Name of Lecturer(s) 
Prof.Dr.Murat GERÇEKLİOĞLU 
Learning Outcomes 
1  To write the Lagrangien for a free particle and a systems of particles  2  To understand integration of equations of motion  3  To introduce generalized coordinates and the principles of least action, solve problems  4  To understand equations of motion  5  To undersand conservation laws  6  To understand energy, momentum, centre of mass, angular momentum  7  To understand importance of collisions between particles and solve problems 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
Equations of motion, Generalized coordinates, the principles of least action, The Lagrangien for a free particle and a systems of particles, Conservation laws, Integration of equations of motion, Collisions between particles 
Weekly Detailed Course Contents 

1  Equations of motion  Guided Problem Solution   2  Generalized coordinates, the principles of least action  Guided Problem Solution   3  The Lagrangien for a free particle and a systems of particles  Guided Problem Solution   4  Conservation laws  Guided Problem Solution   5  Conservation laws (continue)  Guided Problem Solution   6  Integration of equations of motion  Guided Problem Solution   7  Equation in one dimension  Guided Problem Solution   8  Midterm Exam    9  Determination of the potential energy from the period of oscillations  Guided Problem Solution   10  Motion in a central field  Guided Problem Solution   11  Motion in a central field (continue)  Guided Problem Solution   12  Collisions between particles  Guided Problem Solution   13  Kepler’s problem  Guided Problem Solution   14  Elastic collisions, Rutherford’s formula  Guided Problem Solution   15  General repetition  Rehberli Problem Çözümü   16  Final Exam   

Recommended or Required Reading 
Mechanics,L.D.Landau and E.M.Lifshitz, ,Butterworth Heinemann,Amsterdam,2000
Classical Mechanics,H.Goldstein,AddisonWesley,Amsterdam,1980 
Planned Learning Activities and Teaching Methods 

Assessment Methods and Criteria   Work Placement(s)  None 

Workload Calculation 