Lectures related to Improper Integrals: Fundamental Concepts and Examples

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Covers the Riemann sphere, focusing on its conditions and correlation functions in mathematical and physical contexts.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Explores numerical integration, properties of integrals, composite formulas, and error estimation.