REAL NUMBERS , REAL SEQUENCES, INFINITIE SERIES ,CONTINUITY : LIMITS , CONTINUOUS FUNCTIONS, DIFFERENTIATION AND MEAN VALUE THEORMS, RIEMANN INTEGRATION
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Requirements
Intermediate Maths back ground
Outcomes
At the end of the course student will - CO1:Be able to gain knowledge and concepts of Real analysis and it’s applications CO2:Develop a higher level of mathematical knowledge combined with the ability to think analytically CO3:Ability to understand the different math concepts and be able to implement them in our everyday problems CO4:Be able to write simple proofs on their own and study bigger theorems CO5:Be able to demonstrate the power to integrate data and ideas of differentiation and integration during a coherent and substantive manner and use acceptable techniques for resolution connected issues and establishing theoretical results CO6:Gain Knowledge of fundamental concepts of real numbers. CO7:Verify the value of the limit of a function at a point using the definition of the limit CO8:Learn to check function is continuous understand the consequences of the intermediate value theorem for continuous functions CO9:Apply the knowledge in higher studies like P.G. and Research.
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