Calculus

[sidnt]

ref things are changing

• motion
• temperature
• prices
• populations

could we predict how things are going to change? calculus helps us build models of changes to predict things like trajectory of rockets model money coming in and going out of an organization, and build models to optimize it

iow, calculus is mathematics of change

in calculus we mostly study things that change according to a pattern that pattern is mathematically represented by the concept of functions

concepts of limits, integration and differentiation to analyze functions

[sidnt]

we are thinking about motion that has to fulfil the following contracts:

• the movement of a point P along a straight line.
• this movement is to be from a fixed point A to another fixed point B
• and this movement has to be completed in t1 time always

(q) how many ways are there to fulfil this movement?

[sidnt]

• can we divide a finite length into an infinite number of lengths?
• if we had an infinite number of lengths to add, could it add up to a finite length?