List of Modules

Describing motion		Vectors, functions and limits
	Displacement, average and instantaneous velocity, average and instantaneous acceleration.		Coordinate systems, scalars and vectors, components of vectors, vector addition, the scalar product, functions, introduction to limits.
Motion in one dimension		Derivatives I and curve fitting
	Motion diagrams, motion with constant acceleration		Simple differentiation rules, tangent lines, models and curve fitting.
Motion in two or more dimensions		Derivatives II and parametric curves
	Motion in a plane, tangential and radial acceleration, projectile motion, circular motion		Derivatives and shape of curves, maximum and minimum values, parametric curves.
The laws of motion		Limits and continuity
	The concept of force, inertial frames, Newton's 2^nd and 3^rd law, mass and weight, free-body diagrams		Limits, continuity and infinite limits. Using the definition of derivative.
Applications of Newton's laws		Derivatives III
	Uniform and non-uniform circular motion, friction, numerical modeling, the fundamental forces		Exponential Functions. Derivative rules, product and quotient rules, chain rule.
Work and energy		Antiderivatives
	Work done by varying forces, kinetic energy, conservative and non-conservative forces, potential energy, conservation of energy		Antiderivatives, slope fields and simple integration. Rates of Change. Related rates.
Momentum		Mean Value Theorem, Optimization and Newton's Method
	Conservation of momentum, impulse, elastic and inelastic collisions, the center of mass, rocket propulsion		Mean Value Theorem, optimization and Newton's method.
Rotational motion		Trigonometric functions
	Rotational kinematics, torque, angular momentum, rigid-body motion		Vector product, trigonometric functions and polar coordinates.
Oscillatory motion		Calculus and trigonometric functions
	Simple harmonic motion, a mass on a spring, a physical pendulum, forced and damped oscillations		Derivatives of trigonometric functions. L'Hospital's rule.
Wave motion		Implicit and inverse functions
	Sinusoidal travelling waves, reflection and transmission, the Doppler effect, superposition and interference, standing waves		Implicit functions, inverse functions, logs, derivatives of logs and inverse trig functions.