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 (2014today)
Registered students: 86
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Elective Courses  Winter    5 
Academic Year  2019 – 2020 
Class Period  Winter 
Faculty Instructors 

Weekly Hours  3 
Class ID  600147627

Type of the Course
 Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600147627
 Other: http://www.efimeletlidou.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 onedimensional 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 oscillationsresonance.
Cental forces. Integrals of momentum and angular momentum. Equivalent onedimensional 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
16032020