Lectures related to Lagrangian Multipliers: Extrema and Constraints

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Covers the properties of definite integrals and the fundamental theorem of analysis.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

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

Covers Fubini's theorem, change of variables, and area calculations in multiple integrals.

Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.