Classical Mechanics

Syllabus (PDF, Spanish)
This course corresponds to the first semester of the MSc Physics Program at the Institute of Physics (IFUAP), and it covers the main topics of Classical Dynamics from a Lagrangian and Hamiltonian formalism point of view. A strong background in Newtonian Mechanics, Linear Algebra, and Calculus is mandatory.
Below you'll find the lecture notes (in Spanish), assignments of each theme/topic covered in the course, as well as exams for the specified group of topics.

Lecture Notes*

  • 01. Lagrange Equations (PDF)
  • 02. Variational Principles (PDF)
  • 03. Central Forces (PDF)
  • 04. Rigid Body I: Kinematics (PDF)
  • 05. Rigid Body II: Equations of Motion (PDF)
  • 06. Oscillations (PDF)
  • 07. Hamilton Equations (PDF)
  • 08. Canonical Transformations (PDF)
  • 09. Hamilton-Jacobi Theory (PDF)
  • 10. Canonical Perturbation Theory (PDF)
  • *Spanish.

Assignments

  • 01. Lagrange Equations (PDF)
  • 02. Variational Principles (PDF)
  • 03. Central Forces (PDF)
  • 04. Rigid Body I: Kinematics (PDF)
  • 05. Rigid Body II: Equations of Motion (PDF)
  • 06. Oscillations (PDF)
  • 07. Hamilton Equations (PDF)
  • 08. Canonical Transformations (PDF)
  • 09. Hamilton-Jacobi Theory (PDF)
  • 10. Canonical Perturbation Theory (PDF)

Exams

  • 00. Diagnostic test (elementary principles) (PDF)
  • 01. Exam for themes 01 to 03 (PDF)
  • 02. Exam for themes 04 to 06 (PDF)
  • 03. Exam for themes 07 to 10 (PDF)

Textbooks

  • 01. H. Goldstein, C.P. Poole, & J. Safko, Classical Mechanics, 3rd. edition (Addison-Wesley, 2002).
  • 02. W. Greiner, Classical Mechanics: Systems of Particles and Hamiltonian Dynamics, (Springer-Verlag, 2003).
  • 03. L.D. Landau & E.M. Lifshitz, Mechanics, 3rd. edition (Butterworth-Heinenann, 2001).