Week 16 : Uniform Convergence & Differentiation
Course Material
- 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
- Chapters 18
- Department Mathematics(SCB)
- Teacher
Kiran Shaffee
