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MTH621 : Real Analysis I

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Course Info
Course Category	Mathematics
Course Level	Undergraduate
Credit Hours	3
Pre-requisites	N/A
Instructor	Dr. Salman Amin Malik PhD University of La Rochelle, France

Course Contents
Informal Introduction Set Of Integers The Field Ordered Set The Completeness Axiom The Principle Of Mathematical Induction Some Concepts From Set Theory Sequences and Subsequences Equivalent Definition Of Limit Point Of Set Infinite Series The Ratio Test Theorem Abel's Test Power Series Introduction To Functions Continuity Bounded Functions Uniform Continuity Monotonic Functions Derivative Of A Function The Chain Rule Rolle's Theorem The L'Hopital Rule Taylor Polynomials Riemann Sums Riemann Integral: Lemmas Properties Of The Integrals Fundamental Theorem Of Calculus And Related Theorems Second Mean Value Theorem