People Innovation Excellence

REAL ANALYSIS (4 Credits)

Learning Outcomes:

After finishing this course, the students should be able to: Explain the concepts of number series and its applications; Understand the concepts of series and function and its applications; Explain the concepts of topology and its applications; Demonstrate exponential, logarithmic and trigonometric functions; Create metric space; Connect the concept of improper and lebesque integral; Explain the concepts of Riemann integral and generalized Riemann Integral and its applications; Understand the concepts of limit and its applications.

Topics:

  1. Series and number series of real number;
  2. Limit;
  3. Continuous functions;
  4. Differential;
  5. Riemann Integral;
  6. Series and functions;
  7. Infinite series;
  8. Generalized Riemann integral;
  9. Introduction to topology.

 


Published at : Updated

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