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What is Calculus?
Well, it is the study of the continuous rates of the change of quantities. It is the study of how various
quantities change with respect to other quantities. For example, one would like to know how distance changes
with respect to (from now onwards we will use the abbreviation w.r.t) time, or how time changes w.r.t speed,
or how water flow changes w.r.t time etc. You want to know how this happens continuously. We will see
what continuously means as well.
In this lecture, we will talk about the following topics:
-Real Numbers
-Set Theory
-Intervals
-Inequalities
-Order Properties of Real Numbers
Let’s start talking about Real Numbers. We will not talk about the COMPLEX or IMANGINARY
numbers, although your text has something about them which you can read on your own. We will go through
the history of REAL numbers and how they popped into the realm of human intellect.
