Analytical Mechanics (PHYS504) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Analytical Mechanics PHYS504 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English
Course Type N/A
Course Level Natural & Applied Sciences Master's Degree
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture.
Course Coordinator
Course Lecturer(s)
  • Assoc. Prof. Dr. Yasemin Saraç Oymak
Course Assistants
Course Objectives This course provides a fundamental understanding about the concepts of classical mechanics. It presents Newtonian mechanics at a mathematically advanced level and provides tools and concepts of Lagrangian mechanics that is important for the study of quantum mechanics. Establishing a firm physical and mathematical foundation, the course aims to improve the student’s problem solving skills.
Course Learning Outcomes The students who succeeded in this course;
  • To understand and apply the concepts of classical mechanics
  • To understand and use Hamilton's Principle-Lagrangian and Hamiltonian Dynamics
  • To improve the ability to work in different coordinate systems
  • To understand and apply Newton’s laws, conservation principles, central force, scattering, rigid body
  • To develop skills in formulating and solving physics problems related to the rotational and translational motion of rigid bodies
  • To be able to use both analytical and numerical solution methods in classical mechanics
Course Content Matrices, vectors and vector calculus, some methods in the calculus of variations, Hamilton's Principle-Lagrangian and Hamiltonian Dynamics; central force motion, dynamics of a system of particles, dynamics of rigid bodies

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Matrices, Vectors, and Vector Calculus Chapter 1 Read the related section from the course books
2 Some Methods in the Calculus of Variations Review the lecture notes of last week and read the related section from the course books
3 Hamilton's Principle-Lagrangian and Hamiltonian Dynamics Review the lecture notes of last week and read the related section from the course books
4 Hamilton's Principle-Lagrangian and Hamiltonian Dynamics Review the lecture notes of last week and read the related section from the course books
5 Hamilton's Principle-Lagrangian and Hamiltonian Dynamics Review the lecture notes of last week and read the related section from the course books
6 Central Force Motion Review the lecture notes of last week and read the related section from the course books
7 Central Force Motion Review the lecture notes of last week and read the related section from the course books
8 Central Force Motion Review the lecture notes of last week and read the related section from the course books
9 Midterm
10 Dynamics of a System of Particles Review the lecture notes of last week and read the related section from the course books
11 Dynamics of a System of Particles Review the lecture notes of last week and read the related section from the course books
12 Dynamics of a System of Particles Review the lecture notes of last week and read the related section from the course books
13 Dynamics of Rigid Bodies Review the lecture notes of last week and read the related section from the course books
14 Dynamics of Rigid Bodies Review the lecture notes of last week and read the related section from the course books
15 Dynamics of Rigid Bodies Review the lecture notes of last week and read the related section from the course books
16 Final Exam

Sources

Course Book 1. Classical Mechanics , Goldstein, Poole, and Saiko (Third Edition)
3. Classical Dynamics of Particles and Systems , Jerry B. Marion and Stephen T. Thornton (Fifth Edition)
Other Sources 2. Classical Mechanics. Systems of Particles and Hamiltonian Dynamics, W. Greiner
4. Course of Theoretical Physics (Mechanics), L. D. Landau and E. M. Lifshitz

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 5 40
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 25
Final Exam/Final Jury 1 35
Toplam 7 100
Percentage of Semester Work 65
Percentage of Final Work 35
Total 100

Course Category

Core Courses
Major Area Courses X
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Acquiring core knowledge of theoretical and mathematical physics together with their research methodologies. X
2 Gaining a solid understanding of the physical universe together with the laws governing it. X
3 Developing a working research skill and strategies of problem solving skills in theoretical, experimental, and/or simulation physics. X
4 Developing and maintaining a positive attitude toward critical questioning, creative thinking, and formulating new ideas both conceptually and mathematically. X
5 Ability to sense, identify, and handle the problems in theoretical, experimental, or applied physics, or in real-life industrial problems. X
6 Ability to apply the accumulated knowledge in constructing mathematical models, determining a strategy for its solution, making necessary and appropriate approximations, evaluating and assessing the correctness and reliability of the procured solution. X
7 Ability to communicate and discuss physical concepts, processes, and the newly obtained results with the colleagues all around the world both verbally and in written form as proceedings and research papers. X
8 Reaching and excelling an advanced level of knowledge and skills in one or more of the disciplines offered. X
9 An ability to produce, report and present an original or known scientific body of knowledge. X
10 An ability to make methodological scientific research. X
11 An ability to use existing physics knowledge to analyze, to determine a methodology of solution (theoretical/mathematical/experimental) and to solve a problem. X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 2 28
Presentation/Seminar Prepration
Project
Report
Homework Assignments 5 4 20
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 1 12 12
Prepration of Final Exams/Final Jury 1 17 17
Total Workload 125