MATH 308 - Analytical Dynamics

Analytical Dynamics - MATH 308

Lecture Meeting: Thursday 08:00 - 10:00
Tutorial Meeting:
Thursday 10:00 - 12:00

Course Objectives:

The aim of the course is to teach the students the following topics: Generalized coordinates and generalized velocities, Lagrange’s equations for a holonomic system, case of conservative forces, energy investigation, cyclic of ignorable coordinates, the Routhian function, Routh's equation, application, Hamiltonian form of the equation of motion, Hamiltonian methods.

Intended Learning Outcomes (ILO’s)

    Knowledge and understanding of:

        K1-Define basic theorems and concepts in the analytical dynamics.

        K2-Identify methods and techniques of Lagrange and Hamilton in problem solving.

    Intellectual abilities:

        I1-Formulate physical problems concerning motion of systems of particles and bodies.
        I2-Evaluate important physical quantities such as, kinetic and potential energies, Lagrangian and Hamiltonian
        of a given dynamical system.

        I3-Apply theorems and rules of analytical dynamics to real life problems.

    Professional and Practical competencies:

        P1- Solve problems using techniques, skills, and tools of analytical dynamics.

        P2- Operate and practice with problems relating to Lagrange, Routh and Hamilton theories.
    General and Transferable Skills:

        S1-Think independently and solve problems on ethical scientific basis
        S2- Communicate with others positively.

        S3-Deal with Scientific material in English.

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