Today we will look at complex numbers and the complex plane.
Complex Numbers and the Complex Plane
Euler's Equation for Fluids
Today we will look at the general equation for fluids.
Green's Theorem and Fluids
Today we will look at how Green's theorem allows us to determine the net force on a packet of fluid via the gradient of the pressure.
Fluid Equations
Today we will look at the equations for fluid motion. We will start by looking at generating equations of fluids.
Green's Theorem
Today we will look at Green's Theorem, perhaps the most important equation in field theory.
Exam I
Today will be our first exam. It will cover everything we've covered up to homework 3.
Stokes' Theorem
Today we will look at Stokes' Theorem, which relates divergence to curl in a very interesting way.
Homework 4
The fourth homework can be found here. It is due on Wednesday 1 October.
Line Integrals and Conserved Fields
Today we will look at general line integrals and see how our old concept of a conserved field relates to the curl of hat field.
Area and Volume Integrals
Today we will look at determining the area and volume of general shapes, as well as examples such as center of mass and moment of inertia.
The Wave Equation
Today we will look at the wave equation, which is used in everything from electromagnetism to string theory.