Week 16: Uniform convergence and Differentiation
principles_of_mathematical_analysis_walter_rudin.3rd edition
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Course Material
- Week 1: Definition and existence of integrals
- Week 2: properties of Integrals
- Week 3: Fundamental theorem of calculus and it's applications
- Week 4: Change of Variable theorem & Integration by parts
- Week 5: Functions of bounded variation definition and examples
- Week 6: properties of functions of bounded variation
- Week 7: Introduction of Improper integrals & Improper integrals of first kind
- Week 8: Tests for convergence of Improper integrals
- Week 9: mid term exam
- Week 10: Improper integrals of 2nd kind
- Week 11: Beta and Gamma functions
- Week 12: Absolute and conditional convergence of Improper integrals & more examples of Improper integrals
- Week 13: Introduction of sequence and series of functions & definition of pointwise convergence
- Week 14: Definition of uniform convergence & it's examples
- Week 15: Uniform convergence and continuity
- Week 16: Uniform convergence and Differentiation
- Week 17: Power series
- Week 18: Final Exam
- Chapters 18
- Department Mathematics
- Teacher
Sabiha Mumtaz
