Classical Mechanics (PHYS 501)

2020 Fall
Faculty of Engineering and Natural Sciences
Physics(PHYS)
3
10.00
Durmu┼č Ali Demir durmus.demir@sabanciuniv.edu,
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English
Doctoral, Master
--
Formal lecture
Discussion based learning
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CONTENT

Hamilton's principle, Euler-Lagrange equations, bound states and scatttering in the Kepler problem, rigid body motion, Euler's equations, Special relativity, Hamilton's equations, canonical transformations, Poisson brackets, Hamilton-Jacobi theory, small vibrations and the mechanics of continuous media.

OBJECTIVE

After a brief mathematical background, the course aims presentation of basic techniques for analysis of mechanics systems.

LEARNING OUTCOME

The student will be able to write down equations of motion for a given mechanical system and solve them.

PROGRAMME OUTCOMES


1. Develop and deepen the current and advanced knowledge in the field with original thought and/or research and come up with innovative definitions based on Master's degree qualifications 3

2. Conceive the interdisciplinary interaction which the field is related with ; come up with original solutions by using knowledge requiring proficiency on analysis, synthesis and assessment of new and complex ideas. 2

3. Evaluate and use new information within the field in a systematic approach. 3

4. Develop an innovative knowledge, method, design and/or practice or adapt an already known knowledge, method, design and/or practice to another field; research, conceive, design, adapt and implement an original subject. 4

5. Critical analysis, synthesis and evaluation of new and complex ideas. 3

6. Gain advanced level skills in the use of research methods in the field of study. 3

7. Contribute the progression in the field by producing an innovative idea, skill, design and/or practice or by adapting an already known idea, skill, design, and/or practice to a different field independently. 4

8. Broaden the borders of the knowledge in the field by producing or interpreting an original work or publishing at least one scientific paper in the field in national and/or international refereed journals. 3

9. Demonstrate leadership in contexts requiring innovative and interdisciplinary problem solving. 3

10. Develop new ideas and methods in the field by using high level mental processes such as creative and critical thinking, problem solving and decision making. 4

11. Investigate and improve social connections and their conducting norms and manage the actions to change them when necessary. 2

12. Defend original views when exchanging ideas in the field with professionals and communicate effectively by showing competence in the field. 3

13. Ability to communicate and discuss orally, in written and visually with peers by using a foreign language at least at a level of European Language Portfolio C1 General Level. 3

14. Contribute to the transition of the community to an information society and its sustainability process by introducing scientific, technological, social or cultural improvements. 4

15. Demonstrate functional interaction by using strategic decision making processes in solving problems encountered in the field. 3

16. Contribute to the solution finding process regarding social, scientific, cultural and ethical problems in the field and support the development of these values. 3


1. Develop the ability to use critical, analytical, and reflective thinking and reasoning 4

2. Reflect on social and ethical responsibilities in his/her professional life. 2

3. Gain experience and confidence in the dissemination of project/research outputs 3

4. Work responsibly and creatively as an individual or as a member or leader of a team and in multidisciplinary environments. 3

5. Communicate effectively by oral, written, graphical and technological means and have competency in English. 3

6. Independently reach and acquire information, and develop appreciation of the need for continuously learning and updating. 3


1. Design and model engineering systems and processes and solve engineering problems with an innovative approach. 3

2. Establish experimental setups, conduct experiments and/or simulations. 3

3. Analytically acquire and interpret data. 3


1. Employ mathematical methods to solve physical problems and understand relevant numerical techniques. 4

2. Conduct basic experiments or simulations. 2

3. Analytically acquire and interpret data. 3

4. Establish thorough understanding of the fundamental principles of physics. 4


1. Apply software, modeling, instrumentation, and experimental techniques and their combinations in the design and integration of electrical, electronic, control and mechanical systems. 3

2. Interact with researchers from different disciplines to exchange ideas and identify areas of research collaboration to advance the frontiers of present knowledge and technology; determine relevant solution approaches and apply them by preparing a research strategy. 3

3. Take part in ambitious and highly challenging research to generate value for both the industry and society. 3


1. Develop abstract mathematical thinking and mathematical intuition.

2. Demonstrate a broad understanding of several areas of advanced mathematics and of their interrelations.

3. Have knowledge of the fundamental and advanced concepts, principles and techniques from a range of topics.

4. The ability to tackle complex problems, reveal structures and clarify problems, discover suitable analytical and/or numerical methods and interpret solutions.

5. Analyze problems of the area of specialization, plan strategies for their solution, and apply notions and methods of abstract and/or applied mathematics to solve them.


1. Apply a broad knowledge of structure & microstructure of all classes of materials, and the ability to use this knowledge to determine the material properties. 4

2. Apply a broad understanding of the relationships between material properties, performance and processing. 4

3. Apply a broad understanding of thermodynamics, kinetics, transport phenomena, phase transformations and materials aspects of advanced technology. 4

4. Demonstrate hands-on experience using a wide range of materials characterization techniques. 1

5. Demonstrate the use of results from interpreted data to improve the quality of research, a product, or a product in materials science and engineering. 2


1. Assess and identify developments, strategies, opportunities and problems in energy security and energy technologies. 2

2. Define and solve technical, economic and administrative problems in energy businesses. 2

3. Establish knowledge and understanding of energy security, energy technologies, energy markets and strategic planning in energy enterprises. 2

4. Demonstrate an awareness of environmental concerns and their importance in developing engineering solutions and new technologies. 1

5. Acquire a series of social and technical proficiencies for project management and leadership skills. 1


1. Apply knowledge of mathematics, science, and engineering in computer science and engineering related problems. 5

2. Display knowledge of contemporary issues in computer science and engineering and apply to a particular problem. 3

3. Demonstrate the use of results from interpreted data to improve the quality of research or a product in computer science and engineering. 2


1. Use advanced Math (including probability and/or statistics), advanced sciences, advanced computer and programming, and advanced Electronics engineering knowledge to design and analyze complex electronics circuits, instruments, software and electronic systems with hardware/software. 4

2. Analyze and design advanced communication networks and systems, advanced signal processing algorithms or software using advanced knowledge on diff. equations, linear algebra, complex variables and discrete math. 3


1. Apply knowledge of key concepts in biology, with an emphasis on molecular genetics, biochemistry and molecular and cell biology. 2

2. Display an awareness of the contemporary biological issues in relation with other scientific areas. 1

3. Demonstrate hands-on experience in a wide range of biological experimental techniques. 1


1. Establish a strong theoretical background in several of a broad range of subjects related to the discipline, such as manufacturing processes, service systems design and operation, production planning and control, modeling and optimization, stochastics, statistics. 2

2. Develop novel modeling and / or analytical solution strategies for problems in integrated production and service systems involving human capital, materials, information, equipment, and energy, also using an interdisciplinary approach whenever appropriate. 2

3. Implement solution strategies on a computer platform for decision-support purposes by employing effective computational and experimental tools. 2

4. Acquire skills to independently explore and tackle problems related to the discipline that were not encountered previously. Develop appropriate modeling, solution, implementation strategies, and assess the quality of the outcome. 1

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 34
Midterm 66

RECOMENDED or REQUIRED READINGS

Textbook

Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics), L. D. Landau and E.M. Lifshitz