Welcome to Advanced Calculus! In this course, you will learn Analysis, that
is the theory of differentiation and integration of functions. However, you will
also learn something more fundamental than Analysis. You will learn what is
a mathematical proof. You may have seen some proofs earlier, but here, you will
learn how to write your own proofs. You will also learn how to understand someone
else’s proof, find a flaw in a proof, fix a deficient proof if possible and discard it if
not. In other words you will learn the trade of mathematical exploration.