In the beginning these diff Eq. are pretty simple, but you can think of much more complex forms that will come later. In the start you will differentiate some functions (which are very simple diff equations), later you will have equations with functions as “variables”, and these functions themselves can be of more than one variable… then it gets a bit nasty, but at some stage you will notice that there is a nice “receipe” to solve many of them.
The importance of the exponential function will then be stressed, as it is part of most solutions to Diff Equations.
Yes, we covered that in class. For me differential functions were not too difficult. I have always been good with numbers and manipulating data. For example, algebra was a breeze, but geometry… not so easy. Plus, you’re right - there are plenty of shortcuts that can save you plenty of time provided you know them.
Ok, very simple:
A product has a linearly rising “cost”-function (of produced items), and a quadratically declining “asset”-function (of sold items)… which is the best
number to be produced and at what price will they be sold?
Funny… microeconomics was not that hard for me.
So although not everyone will find calculus useful in everyday life, it is handy for advancing in university to more advanced physics courses (as well as engineering) which would grossly affect your ability to, say, get a job with a nice pay scale . . .
Yes, not for the average joe, but every university student should know it.
Calculus doesn’t apply to economics, does it? If it does, please give me an example because I don’t understand.
Calc can become a very useful tool once you get into more complex aggregate supply and demand. Calc can be very useful when you get in partial derivatives and marginal analysis (often with more than one variable).
