PMAT 42793: Advanced Theory of Riemann Integration

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Course Code    : PMAT 42793

Title                   : Advanced Theory of Riemann Integration

Pre-requisites   : PMAT 12543

 Learning Outcomes:

At the end of the course the student should be able to demonstrate knowledge of the concepts and theorems of Riemann Integration and to apply them in solving advanced integration problems.

 Course Content:

Riemann Integration: The Riemann integral, Properties of the Riemann integral, Fundamental theorem of calculus.

Improper Integrals: Properties of Improper Integrals, Leibnitz’s rule.

 Method of Teaching and Learning: A combination of lectures, tutorials and presentations.

Assessment: Based on tutorials, tests, presentations and end of course examination.

 Recommended Reading:

 

  1. Ross, K.A., (2nd edition, 2015) Elementary Analysis. The Theory of Calculus, Springer.
  2. Widder, D.V. (2nd edition, 2012) Advanced Calculus. Courier Corporation.

 

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