Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.
This tutorial starts with a very micro view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices.
The two annual TED conferences, in Long Beach/Palm Springs and Edinburgh, Scotland, bring together the world's most fascinating thinkers and doers, who are challenged to give the talk of their lives (in 18 minutes or less). TED Talks began as a simple attempt to share what happens at TED with the world. Under the moniker ideas worth spreading, talks were released online. They rapidly attracted a global audience in the millions. Indeed, the reaction was so enthusiastic th...
TED is a nonprofit devoted to Ideas Worth Spreading. It started out (in 1984) as a conference bringing together people from three worlds: Technology, Entertainment, Design. Since then its scope has become ever broader. Along with two annual conferences -- the TED Conference in Long Beach and Palm Springs each spring, and the TEDGlobal conference in Edinburgh UK each summer -- TED includes the award-winning TED Talks video site, the Open Translation Project and TED Conver...
Another example of using substitution to solve a first order homogeneous differential equations.
Differential equations with only first derivatives.
Introduction to the Convolution
Transforms and the Laplace transform in particular. Convolution integrals.
Introduction to the Line Integral
Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem.
Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.
Thinking about forms of derivatives in multi-dimensions and for vector-valued functions: partial derivatives, gradient, divergence and curl.
An example of conservation of momentum in two dimensions.
Linear momentum. Conservation of momentum. Elastic collisions.
Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the smallest solution to Ax=b
We explore creating and moving between various coordinate systems.
Understanding why distance is area under velocity-time line
In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.
Comparing Population Proportions 1
Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.
Introduction to Poisson Processes and the Poisson Distribution.
Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.
Finding the equation of the line tangent to f(x)=xe^x when x=1
Calculating derivatives. Power rule. Product and quotient rules. Chain Rule. Implicit differentiation. Derivatives of common functions. You can figure out the derivative of f(x). You're also good for g(x). But what about f(x) times g(x)? This is what the
Snell's Law Example 2
Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.
Basics of price inflation and the CPI (consumer price index)
Inflation and deflation. CPI-U. Real and nominal return. Phillips Curve.
Function Inverses Example 2
Revisiting what a function is and how we can define and visualize one.