People Innovation Excellence
 

REAL ANALYSIS (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Explain basic properties of real numbers system; Explain open, closed and compact sets and construct metric spaces; Analyze the concepts of limits, continuous functions, derivatives and integrals in theoretical approach; Analyze convergence of sequences of real numbers and sequences of functions; Solve some mathematical problems by choosing suitable theorems.

Topics:

  1. The Real Numbers System;
  2. Sequences of Real Numbers;
  3. Limits;
  4. Continuous Functions;
  5. Differentiations;
  6. The Riemann Integral;
  7. Sequences of Functions;
  8. Topology and Metric Spaces.

Published at : Updated

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