The Real Number System. Ordered field axioms. Well-Ordering Principle. Completeness Axiom. Archimedean Property. Sequences in R. Bolzano-Weierstrass Theorem. Cauchy Sequences. Continuity in R. Limits. Continuity. Uniform Continuity. Differentiability in R. Chain Rule. Mean Value Theorem and its Applications. Integrability in R. Riemann Sums. Fundamental Theorem of Calculus
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Prerequisite:
MATH243 | FOUNDATIONS OF MATHEMATICS
