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• Week 01: Definition and existence of integrals
• Week 02: Properties of Integrals and related results
• Week 03 :Fundamental theorem of calculus and its applications
• Week 04 :Change of variable theorem and integration by parts
• Week 05:Functions of Bounded Variation: Definition and examples
• Week 06 :Properties of functions of bounded variation and related results
• Week 07 : Improper Integrals: Definitions ,examples of improper integrals of first kind
• Week 08:Tests for convergence of improper integrals
• Week 09: Mid Term Exam
• Week 10: Improper integral of second kind;Definition;examples, related results
• Week 11: Gamma and Beta Functions
• Week 12 : Absolute and Conditional convergence of improper integrals and examples
• Week 13 : Introduction to Sequence and Series of Function ,Point-wise convergence
• Week 14: Definition of Uniform Convergence and examples of point-wise and uniform convergence
• Week 15 : Uniform convergence and continuity
• Week 16 : Uniform Convergence & Differentiation
• Week 17: Power series
• Week 18 : Final Term Exam