Course Code : PMAT 32612
Title : 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 basic concepts of Riemann Integration improper integrals
- apply knowledge in solving problems
Course Contents:
Riemann Integration: The Riemann integral, Properties of the Riemann integral, Intermediate Value Theorem for Integrals, Dominated Convergence Theorem, Monotone Convergence Theorem, Fundamental theorem of calculus.
Improper integrals: Properties of Improper Integrals, Leibnitz’s rule.
Method of Teaching and Learning: A combination of lectures and tutorial discussions.
Assessment: Based on tutorials, tests and end of course examination.
Recommended Reading:
- Ross, K.A., (2nd edition, 2015) Elementary Analysis. The Theory of Calculus, Springer.
- Widder, D.V. (2nd edition, 2012) Advanced Calculus. Courier Corporation.