Week 2: Definition and existence of integrals
See attached file of week 1
Course Material
- Week 1: The Riemann-Stieltjes Integrals
- Week 2: Definition and existence of integrals
- Week 3: properties of Riemann-Stieltjes integrals
- Week 4: Fundamental theorem of calculus and its applications
- Week 5: Change of variable theorem, integration by parts, Integration of vector valued functions
- Week 6: Sequences and Series of Functions, Properties of Sequences and Series of Functions
- Week 7: Power series with applications, Definition of point-wise and uniform convergence
- Week 8: Uniform convergence and continuity, Uniform convergence and differentiation, examples of uniform convergence
- Week 9: Mid Term Examination
- Week 10: Functions of Bounded Variation:Definition and examples
- Week 11: Properties of functions of bounded variation
- Week 12: Improper Integrals, Problems of functions of bounded variation
- Week 13: Types of improper integrals
- Week 14: Tests for convergence of improper integrals
- Week 15: beta and gamma functions
- Week 16: Absolute and conditional convergence of improper integrals
- Week 17: Conditional convergence of improper integrals
- Week 18: Final Term Examinations
- Chapters 18
- Department Mathematics
- Teacher
Dr. Muhammad Samraiz
