Theoretical Mechanics
| Title | ΘΕΩΡΗΤΙΚΗ ΜΗΧΑΝΙΚΗ / Theoretical Mechanics |
| Code | 1064 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Efthymia Meletlidou |
| Common | No |
| Status | Active |
| Course ID | 40000312 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 49
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses | Winter | - | 5 |
| Academic Year | 2021 – 2022 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600186962
|
Course Type 2016-2020
- 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/1/600186962
- Other: http://www.efi-meletlidou.com
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 0201 Calculus I
- 0202 Calculus II
- 0206 Differential Equations
Learning Outcomes
The students after the completion of the course will know:
1. The laws of Newton and especially the equation of motion.
2. The work of a force and when the mechanical energy is conserved.
3. The theory of hormonic oscillations and the behaviour of various solutions.
4. Central forces, the equivalent one-dimensional motion and the limits of motion.
5. The orbits of the law of gravitation.
6. The laws of Kepler for th motion of the planets.
General Competences
- Apply knowledge in practice
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
Veloity and accelaration of a point mass. Newton's laws. Inertial systems. Special law of Galileo;w relativity. Universal law of gravitation. Axiom of conservation of the momentum and the angular momentum. Work and kinetic energy. Forces that are produced by a potential. The theorem of conservation of energy. Integrals of motion.
One degree of freedom systems. Limits of the motion. Harmonic oscillation. Harmonic oscillation with resistance. Forced oscillations-resonance.
Cental forces. Integrals of momentum and angular momentum. Equivalent one-dimensional motion (effective potential). Differential equations of motion. Differential equations of second order with respect to time. Differental equation of second order with respect to the angle, differential equation of first order. Limits of the motion. Circular orbits. Stability of circular orbits. Attracting forces inverse proportional to the square of the distance. Equations of the obits. Escape velocity. Laws of Kepler for the motion of the planets.
Keywords
Mechanics
Educational Material Types
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | 1.3 | ✓ | ||
| Tutorial | 108 | 3.6 | ✓ | ||
| Exams | 3 | 0.1 | |||
| Total | 150 | 5 |
Student Assessment
Description
Final exams
Student Assessment methods
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Θεωρητική Μηχανική, τ. Α και Β, Ι.Δ. Χατζηδημητρίου, Εκδόσεις Γιαχούδη, 2000
Εισαγωγή στη Θεωρητική Μηχανική, Κ.Χ. Τσίγκανος, Εκδόσεις Αθ. Σταμούλης, 2004
Additional bibliography for study
Κλασική Μηχανική, T. W.B. Kibble, F.H. Berkshire, Παν. Εκδόσεις Κρήτης, 2012
Φυσική για επιστήμονες και Μηχανικούς, τ. 1, R.A. Serway, J.W. Jewett, Κλειδάριθμος, 2012
Last Update
16-03-2020
