Theoretical Mechanics II
| Title | ΘΕΩΡΗΤΙΚΗ ΜΗΧΑΝΙΚΗ ΙΙ / Theoretical Mechanics II |
| Code | ΓΘ0212 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Efthymia Meletlidou |
| Common | No |
| Status | Inactive |
| Course ID | 40000608 |
| Academic Year | 2016 – 2017 |
| Class Period | Winter |
| Faculty Instructors | |
| Weekly Hours | 5 |
| Class ID | 600036317
|
Course Type 2016-2020
- Background
- Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600036317
- Other: http://users.auth.gr/~tsiganis
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Theoretical Mechanics II is a core Physics course that demands a strong mathematical background. Also, the General Physics course that deals with mechanics is considered previous knowledge, as well as Theoretical Mechanics I, which introduces Newtonian theory.
In terms of mathematics, knowledge of calculus (derivatives and integrals of functions of one or more variables) and differential equations are needed.
Learning Outcomes
The scope of this course is to introduce the theories of mechanics that post-date the first fundamental theory of Newton, namely Lagrangean Mechanics and Hamiltonian Mechanics, as well as to present many applications in problems of every-day Physics. At the same time, we present how Lagrangean Mechanics can be founded not as a continuation of Newton's theory but as an independent mechanics theory, through the principle of least action, which is used as an axiom in many modern Physics theories. Moreover, the mechanics of solid bodies, which is the basis of modern engineering mechanics, is presented. Finally, the theory of Special Relativity of Einstein is presented, as the basis for General Relativity.
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
Constraints and degree of freedom. Analytical mehcanics of Lagrange: equations of Lagrange, integrals of motion, equillibria, examples. Theory of small oscillations around an equillibrium. Hamiltonian mechanics: equations of Hamilton, Hamilton's principle, Poisson brackets and integrals of motion, examples. Kinematics and Dynamics of solid bodies, examples. Introduction to the Theory of Special Relativity (kinematics and dynamics).
Keywords
Lagrangean mechanics, Hamiltonian mechanics, Dynamics of solid bodies, Special Relativity
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Description
E-mail and web-page for distributing notes
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 3 | ✓ | |||
| Tutorial | 2 | ✓ | |||
| Total | 5 |
Student Assessment
Description
Writen exam (end of semester)
Student Assessment methods
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [8797]: ΘΕΩΡΗΤΙΚΗ ΜΗΧΑΝΙΚΗ ΤΟΜΟΣ Β' , ΧΑΤΖΗΔΗΜΗΤΡΙΟΥ ΙΩΑΝΝΗΣ
Βιβλίο [24812]: Κλασσική μηχανική, Τριανταφυλλόπουλος Ηλίας
Last Update
19-09-2013
