Analytical Mechanics I

Fall 2016

Course summary:

This junior-level course aims to introduce the techniques of classical mechanics for studying the dynamics of point-like particles and solid objects. The Lagrangian and Hamiltonian (analytical) mechanics, is an alternative to the Newtonian (vectorial) description of motion. Their main difference is that the Newtonian mechanics is based on vectors (e.g. forces), while in the analytical mechanics the equation of motion is obtained from scalers like energy. Lagrangian and Hamiltonian approaches will be covered in the Analytical Mech. II course.
Computer skills to do symbolic calculations with e.g. Maple or Mathematica, and computer programing (e.g. C++ and Fortran) for solving numerically the equations is highly desirable.

Contents:

(Formal Syllabus)

  1. Vector Calculus
  2. Newtonian Mechanics of particles in 1D
  3. Oscillations*
  4. Newtonian Mechanics of particles in 3D
  5. Noninertial reference frames
  6. Graviation and Central Forces
  7. * Dynamics of systems of particles

Reference Textbook:

Additional References:

  1. Classical Dynamics of Particles and System, Thornton and Marion (5th edition)
  2. Mechanics, Symon


Office Hours:





Evaluation:

Midterm exam #1: 25% (Chs 1-4) 17 Aban, Grades (from 5)
Midterm exam #2: 30% (Chs 5-6) 4 Dey Exam Sheet, Solutions, Grades (from 6)
Final exam: 35% (Chs 1-6) Exam Sheet, Solutions, Grades (from 7)


Exercises and quizzes: 10% (to be gained in the Problem-Solving Sessions)
Computer Project(s): +5% (this extra credit aims to motivate students to develop their skills in using computers in physics)







Computer Projects:

Please contact Mr. Nourmandipour.


Course Evaluation:

You are welcome to do a course evaluation. (See responses).