Vectors, Statics, and Kinematics: introduction to vectors (linear independence, completeness,basis, dimensionality), inner products, orthogonality – principles of statics, system of forces in plane and space, conditions of equilibrium – displacement, derivatives of a vector, velocity, acceleration – kinematic equations – motion in plane polar coordinates. Newtonian Mechanics: momentum, force, Newton’s laws, applications – conservation of momentum, impulse, center of mass.

Work and Energy: integration of the equation of motion – work energy theorem, applications – gradient operator – potential energy and force - interpretation – energy diagrams – law of conservation of energy – power – particle collisions.

Rotations: angular momentum – torque on a single particle – moment of inertia – angular momentum of a system of particles – angular momentum of a rotating rigid body. Central Force Motion: central force motion of two bodies – relative coordinates – reduction to one dimensional problem – spherical symmetry and conservation of angular momentum, consequences – planetary motion and Kepler’s laws.

Harmonic Oscillator: 1-D harmonic oscillator – damped and forced harmonic oscillators.

Modern Physics: relativity – introduction to quantum physics – atom model – hydrogen atom.

Kleppner, D. and Kolenkow, R. J., An Introduction to Mechanics, 2nd ed., Cambridge Univ. Press (2013).

1. Serway, R. A. and Jewett, J. W., Principles of Physics: A Calculus Based Text, 5th ed., Thomson Brooks/Cole (2012).

2. Halliday, D., Resnick, R., and Walker, J., Fundamentals of Physics, 9th ed., John Wiley (2010).

3. Young, H. D., Freedman, R. A., Sundin, T. R., and Ford, A. L., Sears and Zemansky’s University Physics, 13th ed., Pearson Education (2011).