Concept
Residue (complex analysis)
Related lectures (58)
Trigonometric Integrals: Residues Method
Covers the calculation of integrals using the residues method and discusses singularities, poles, and examples.
Residues Method: Generalized Integrals
Covers the calculation of generalized integrals using the residues method and provides examples for better understanding.
Essential Singularity and Residue Calculation
Explores essential singularities and residue calculation in complex analysis, emphasizing the significance of specific coefficients and the validity of integrals.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Inverse Z Transform: Properties and Linear Systems
Explores the inverse Z transform, properties of linear systems, and signal decomposition.
Generalized Integral and Main Value
Covers the concept of the generalized integral and main value, including singularities, principal value at infinity, and residues.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Fourier Transform: Residue Method
Covers the calculation of Fourier transforms using the residue method and applications in various scenarios.
Mellin Transform: Residue Method
Covers the calculation of Mellin transforms using the residue method and provides examples of its application.
Underdamped Response of 2nd Order System
Explores the underdamped response of a 2nd order system and how damping affects oscillation frequency and decay.