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The course syllabus is:

Dynamics

• Introduction to Dynamics, Ordinary Differential Equations, Newtonian dynamics, Reference frames. Projectiles.

• Momentum. Variable mass problems. Rocket equation.

• Simple harmonic motion. Harmonic oscillator. Damped SHM. Forced SHM.

• Conservation laws. Conservative forces. Conservation of energy and momentum.

• Central forces. Potential. Angular Momentum. Orbits.

• Inverse square forces. Gravity. Kepler’s laws.

• Coupled oscillators. Normal modes. Compound pendulums.

Vector Calculus

• Introduction to fields. Equipotentials. Scalar and vector fields.

• Gradient. Divergence. Curl. Laplacian operator. Vector operator identities.

• Line integrals, surface integrals, and volume integrals – in Cartesian and curvilinear coordinates.

• Divergence Theorem. Flux and the continuity equation. Gauss Law.

• Stokes’ Theorem, Scalar potential. Conservative forces and fields.

• Poisson’s equation. Vector potential.

• Curvilinear surfaces. Line, surface, volume elements, div, grad, curl in orthogonal curvilinear

coordinates.

Thank you