Backwards Learning is all about the way you want to learn rather than the way the institutions
want you to learn.
You sit in math class and the teacher asks "What's an imaginary number?"
You ask in return "Why would I need to learn about a number that does not exist? What is it used for?"
and of course the teacher would reply
"It's hard to explain, but they use it in science."
"So what do I need it for?"
and the conversation goes on.
Here at BackwardsLearning.org we give you cool or practical things you might want to do in REAL life
and then tell you what you need to know to achieve them. If the things you need to know are complicated to the
point that you really need a teacher in a class room to help you then we can point you to the classes in the
appropriate schools you need to go to to learn what you need to.
I want to :
Make a race car go around a corner at 220 km per hour on a dirt road.
To do this I need to:
1. Make the wheels stay an the road as much as possible. If the wheel is not
touching the road then the car is not turning.
To do this I need to know:
a) that when the wheel hits a pothole and comes out the other side the spring
and shock absorber system will make the wheel bounce several times if the
combination of shock absorber and spring is incorrectly set up. To make the
wheel bounce as little as possiblewe need to understand how a second
order system responds to a step function.
To understand a step function we need to understand :
(i) what a Piece wise or Split Function is. See Split Functions at this website.
Namely Step seven on that site.
To understand a second order system response we need to understand :
(ii)Second Order Linear Differential equation
works with a forced response.
See Forced Response at this website.
To understand a second order system response we must understand what
a second order system is first.
To understand a second order system we must understand what
a first order system is first.
To understand a first order system we must understand what
a differential equation is first.
To understand a differential equation we must understand what
integration is first.
To understand integration we must understand what
the derivative is first.
To understand the derivative we must understand what
trigonometry is first.
To understand what trigonometry is we must understand what
a graph is first.
To understand a graph is we must understand what
a number line is first.
To understand a number line we must understand how to count first
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