Analysis 2: Horizontal Domains and Integrals

Related lectures (31)

Page 3 of 4

Covers the development of Taylor polynomials of order p around a point x.

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.

Covers changing variables in integrals with a focus on exponential functions.

Explores the convergence and divergence of integrals, analyzing their behavior under specific limits.

Explores Taylor series for function approximation and properties of definite integrals, including linearity and symmetry.

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Explores generalisations of functions and the concept of gradients in advanced analysis.

Explores the interpretation of curvilinear integrals in vector fields and the proof of potential fields.