Calculus 101
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History and Motivation
Preliminaries
Building the Integers
Building the Rationals
Irrationals – the Secret Pythagoras Kept
Axiomatizing the Real Numbers
Sequences and Convergance
Limit Properties
Cantor’s Lemma
Subsequences and convergence
Completeness
Building the Real Numbers
Series
Real functions
Limit
Continuity
Derivative
Roll’s Theorem
Riemann Integral
Exponential
A Story
Calculus 101
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