Organic chemistry is pretty much everywhere! In this episode of Crash Course Organic Chemistry, we’re talking about the amazing diversity among organic molecules. We’ll learn about the origins of organic chemistry, how to write Lewis structures, condensed structures, and skeletal formulas, and what gross organic compound the Romans used to dye their fabrics pretty colors.
Welcome to Crash Course Organic Chemistry hosted by Deboki Chakravarti! Starting next week, we’ll be tackling the notoriously complicated subject of organic chemistry, and hopefully having some fun along the way!
When you look in a mirror, and see what you think is a perfect reflection. You might be looking at a universe whose laws are fundamentally different.
How to predict and model the spread of epidemics.
The SIR model is one of the simplest ways to understand the spread of a disease such as COVID-19 (Coronavirus) through a population. Allowing the movement of populations makes the model slightly more realistic and results in ‘Travelling Wave’ solutions.
The SIR model is one of the simplest disease models we have to explain the spread of a virus through a population.
Quantum mechanics tells us that the atom’s wavefunction can be in a superposition of states – simultaneously decayed or not decayed. So is the cat’s wavefunction also in a superposition of both dead and alive.
There are many kinds of dynamics. Some are complicated, others are not. To try and understand this better, we can take a vector field that depends on just one parameter, and let this parameter change slowly. This shows that the dynamics, under influence of this parameter, is sometimes simple and then, without warning, becomes very complicated. We see bifurcations happening.
Chaos IX: Chaotic or not?
First, an old idea by Henri Poincaré (1854-1912): when studying a vector field in space, we can sometimes find a small disc that the trajectories hit repeatedly. Studying the points on the disc where the trajectories pass through is often a lot simpler than studying the vector field as a whole. We go from dynamics in continuous time to dynamics in discrete time.
Chaos VI: Chaos and the horseshoe