Courses Catalogue

Analytical Mechanics

COURSE CODE: MAT3203
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Education (Mathematics) - B.Ed
COLLEGE/SCHOOL/FACULTY: College of Education, Open and Distance Learning
STATUS: Elective
PROGRAMME TYPE: Undergraduate

Course Content and Outline

COURSE CONTENT

·      Lagrangian mechanics. Constraints, generalised coordinates, derivation of Lagrange's equations from Newton's laws.

·      Constants of the motion: ignorable coordinates and Jacobi's function.

·      Qualitative analysis of systems with a single degree of freedom using Jacobi's function.

·      Examples, including conservative central forces and the Lagrangian analysis of the spinning top. Hamiltonian mechanics.

·      Generalized momenta and the Hamiltonian.  Derivation of Hamilton's equations from Lagrange's equations.

·      Conservation results and phase plane analysis. Poisson brackets.  Equations of motion in Poisson bracket form.

·      Canonical transformations. Liouville's Theorem and the Poincare recurrence theorem.

MODE OF DELIVERY

·         Lecture and discussion

·         Group discussion

·         Reading and problem assignments

 

INSTRUCTIONAL MATERIALS/EQUIPMENT

  • Whiteboard and Markers
  • Flip Charts
  • LCD Projectors
  • CDs,DVDs and Tapes