Theoretical Mechanics

Course Information
TitleΘΕΩΡΗΤΙΚΗ ΜΗΧΑΝΙΚΗ / Theoretical Mechanics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorEfthymia Meletlidou
Course ID40000312

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 86
OrientationAttendance TypeSemesterYearECTS
CoreElective CoursesWinter-5

Class Information
Academic Year2019 – 2020
Class PeriodWinter
Faculty Instructors
Weekly Hours3
Class ID
Course Type 2016-2020
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
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.
Educational Material Types
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Communication with Students
Course Organization
Student Assessment
Final exams
Student Assessment methods
  • Written Exam with Problem Solving (Summative)
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
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