Week  Topics  Study Materials  Materials 
1 
Cartesian coordinates, rotations



2 
Vectors, unit vectors, matrices, vector operations.



3 
Position, velocity, acceleration in Cartesian, polar, cylindrical, and spherical coordinates



4 
Differentiation and integration of vectors, gradient, curl, Gauss and Stoke s theorems



5 
Newton s laws, frames of reference, equation of motion for a particle,



6 
Effects of retarding force, and other examples of dynamics



7 
Conservation theorems



8 
Simple harmonic oscillator, harmonic oscillation in two dimensions, phase diagrams



9 
Damped oscillations



10 
Sinusoidal driving forces, electric oscillations, Fourier series



11 
Newton law of gravitation, gravitational potential, lines of force and equipotential surfaces



12 
Ocean tides



13 
Concept of variational calculus, Euler s equation



14 
Euler equations with constraints, extension of Euler s equation to mechanics, Lagrange equations


