Riemann Sums and Definite Integrals

This lecture covers the concept of Riemann sums and definite integrals, starting with the definition of an entire series and the radius of convergence. It then delves into Taylor series, geometric series, and the exponential of complex numbers. The lecture also explores the Taylor formula, the left and right derivatives, and the indefinite integral of a function. The instructor explains the properties of definite integrals, the algebraic area between a function and the x-axis, and the regular subdivision of intervals. The lecture concludes with the definition of Riemann sums and the relationship between the sound sequence and limits.