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Related lectures (31)

Page 2 of 4

Analytic Continuation: Residue Theorem

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

Real Functions: Definitions and Graphs

Covers real functions, definitions, graphs, parity, periodicity, and boundedness.

Green's Functions in Laplace Equations

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Piecewise Continuous Functions

Covers piecewise continuous functions, their properties, classification based on continuity, and integral types, including improper integrals.

Generalized Integrals: Definition and Applications

Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.

Multiple Integrals: Defining Integrals of Functions in R^2

Covers the definition of double integrals for functions of two variables over a domain in the plane R^2.

Unclosed Curves Integrals

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

Techniques of Integration for Double Integrals

Covers techniques for computing double integrals using Fubini's Theorem and examples.

Lebesgue Integral: Criteria and Analysis

Explores the concept of Lebesgue integrability and the criteria for Lebesgue integrability, emphasizing the importance of upper and lower integrals.

Properties of Definite Integrals: Fundamental Theorem of Analysis

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