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Linear Algebra

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Scalars, vectors, and one dimensional motion

Vector operations in one dimension

Vector operations in two dimensions

Vector components

Solving two dimensional vector problems

Relative velocity

Define: Distance VS. displacement, speed VS. velocity, acceleration position, velocity, acceleration - time graphs

Kinematic equations

Newton's first law of motion

Newton's second law of motion

Multiple forces acting on an object

Newton's third law of motion

Friction: Static and kinetic

Two dimensional forces

Tension and pulley problems

Conservation of energy

Work and energy

Power and efficiency

Momentum and motion

Momentum and impulse

Conservation of momentum in one dimension

Conservation of momentum in two dimensions

Elastic and inelastic collisions

Translational equilibrium

Rotational equilibrium

Equilibrium problems

Horizontal circular motion

Vertical circular motion

Gravitation, orbit, escape velocity

Electric force

Electric field

Electric potential and electric potential energy

Projectile motion

Fundamentals of light

Light and matter

Reflection of light

Refraction of light and Snell's Law

Application of reflected and refracted light

Diffraction and interference of light

Application of diffraction

Voltage

Current

Resistance

Ohm’s law

Voltage divider method

EMF and terminal voltage

Power, energy and efficiency

Circuitry problem solving

Magnets and magnetic fields

Electric currents produce magnetic fields

Force on electric charge moving in a magnetic field

Magnetic field due to a long straight wire & force between two parallel wires

Solenoids & electromagnets

Induced EMF and Lenz’s law

Faraday’s law

Induced EMF in a moving conductor

Electric generators & counter EMF (Back EMF)

Transformers and power transmission

Introduction to waves

Mechanical waves

Wave behavior at a boundary

Superposition of waves

Waves in two dimensions

Sound waves

Waves behave like particles

Postulate of the special theory of relativity, time dilation and twin paradox

Length contraction & relativistic momentum, mass and energy

Vibration and energy

The periodic nature of SHM and simple pendulum

Rotational Vs. translational kinematics

Torque and rotational inertia

Rotational kinetic energy and angular momentum

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