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0331212Real Analysis

  • Course Description :The completeness property of the set of real numbers. Applications of the supremum property. Sequence of real numbers: convergent sequences, monotone and bounded sequences. Cauchy sequences. Bolzano--Weierstrass Theorem. Limits of real valued functions. Continuous functions on R. Boundedness of continuous functions and the extreme value theorem. Uniformly continuous functions. Differentiation: Rolle’s Theorem, Mean value theorem. Taylor Theorem with remainder. L' Hospital's rule.
  • Pre Request : 0301211
  • Credit Hour :3
  • Department : Mathematics
  • Program :
  • Course Level :Bachelor
  • Course Outline :
    0331212 Syllabus.pdf