Monday, June 21, 2010

Why study Calculus? How does it apply to real life careers?

I use calculus almost everyday. But im an engineer, so that just comes with the job and the $140k salary. :)Why study Calculus? How does it apply to real life careers?
calculus is the study of change and it's one of the more useful mathematics in our world. we're not going to find perfect shapes such as squares, circles, etc. in nature. everything in our world is not perfect so just using geometry and algebra won't cut it. those maths certainly are useful within calculus, but by themselves they are not that useful in the real world. think about calculating the area of a square or a circle. easy right? now how about a irregular shaped object like a blob. think of something like an amoeba which is a pretty irregular and weird shape. now how do you calculate the area of that? using calculus and something called integrals! although some things in real life may seem perfect like a door or a window, they are going to have very slight bumps and deformations depending on the surface. basically, they are not going to be perfectly smooth. things that are not linear and constantly changing can be analyzed using calculus. think about how to find the slope of a line. but how about finding the slope of a curve? unlike lines, curves have continuously changing slopes so at every single point on the curve, there will probably be a different slope! calculating this complicated sounding slope is called the derivative. calculus is just one of the many different branches of mathematics that helps us to understand the world around us better. studying these infinitesimal changes in our world is what calculus is all about. problems involving these very small changes cannot be solved using algebra alone.Why study Calculus? How does it apply to real life careers?
I forgot a lot of my math from high school, and i really, really don't see myself using it. Some career paths are very centered on math-sciences and business use it a lot. But for me(psychology), I need almost no math (which is wonderful :))


the basic math you probably already know is about as much as you are going to use in the real world unless you go into a math centric career like i said before.


for example-i never have and never will take calculus-but i took statistics (which i recommend if you have a choice between the 2)


when are you ever going to actually need to use imaginary numbers?


exactly.
If you are not an engineer or something that uses math daily, then you might not need calculus as much. But it is much quicker to solve some sorts of problems than algebra. Such as rate problems, or my favorite optimization problems.
You can solve all types of rate problems, you can make approximations, etc.


It does have its uses, will you use it every day, probably not. But it's another tool for the mental toolbox.
Anything after geometry is just used to open your mind up to think of other ways to do something. basically teaching you to think outside the box more complex wise...

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