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1st part of 3-semester course on Calculus and Real Analysis: Starting with the basics of propositional calculus and set theory, we then introduce functions, relations, and proofs by induction. We study convergence of real and complex sequences and series, as well as continuity, differentiability, and Riemann integrability of functions of one real variable. Appendix includes an introduction to axiomatic set theory and the axiom of choice as well as a construction of the real numbers.