Explore advanced integration techniques and theorems in this comprehensive 2.5-hour lecture series. Delve into the Darboux Integral, examine proofs of the Fundamental Theorem of Calculus, and investigate the Stieltjes and Product Integrals. Learn a life-changing integration by parts trick and discover why "Integration Sucks." Gain insights into integral f inverse and enhance your mathematical prowess in calculus and analysis.
Overview
Syllabus
The Darboux Integral.
Proof of the Fundamental Theorem of Calculus (the one with differentiation).
Proof of the Fundamental Theorem of Calculus.
Integral f inverse.
Integration Sucks.
Stieltjes Integral.
Product Integral.
life changing integration by parts trick.
Taught by
Dr Peyam
