School of Science - Department of Mathematics

( 0331212 Real Analysis)

• Course Description :Real numbers: order, absolute value, bounded subsets, completeness property, Archimedean property; supremum and infimum; sequences: limit, Cauchy sequence, recurrence sequence, increasing, decreasing sequence,  lim sup,  lim inf  of a sequence; functions: limit,  right, left limit, continuity at a point, continuity on an interval; uniform continuity (on an interval) relations between continuity and uniform continuity, differentiability: definition, right, left derivative, relation between differentiability and continuity, Rolle’s theorem, mean value theorem, applications on mean value theorem.
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• Credit Hour :
• Department : Mathematics
• Program :
• Course Level :Bachelor
• Course Outline :

  Syllabus 0331212.pdf