当前课程知识点：Complex Variables and Integral Transforms > Chapter 8 Laplace Transform > Discussing topics for Chapter 8 > Lecture 8 - Applications of residue - Examples
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返回《Complex Variables and Integral Transforms》慕课在线视频列表
-Lecture 1 - Complex Number and Functions
-Lecture 2 - Algebraic operations of complex numbers
-Lecture 3 - Geometrical Representations in complex plane
-Lecture 4 - Representations of triangle and exponent
-Lecture 5 - Product, quotient and deMoivre's formula
-Lecture 6 - Roots of complex number
-Lecture 7 - Concept of Domain
-Lecture 8 - Funtions of complex variables
-Lecture 9 - Geometrical explanations for functions of complex number
-Lecture 10 - Limit and continuity of complex functions
-Exercise 1
-Discussing topics for Chapter 1
-Lecture 1 - Derivative of complex functions
-Lecture 2 - Concept of analytic function
-Lecture 3 - Equivalent conditions for analytic function
-Lecture 4 - Cauchy-Riemann equations
-Lecture 5 - Exponential function and Logarithmic function
-Lecture 6 - Trigonometric function and hyperbolic function
-Exercise 2
-Discussing topics for Chapter 2
-Lecture 1 - Definition of complex integral
-Lecture 3 - Cauchy theorem in multiply connected domains
-Lecture 4 - Anti derivative and indefinite integral
-Lecture 5 - Cauchy integral formula
-Lecture 6 - Higher order derivatives of analytic functions
-Lecture 7 - Analytic functions and harmonic functions
-Exercise 3
-Discussing topics for Chapter 3
-Lecture 2 - Concept of power series
-Lecture 3 - Calculations of radius of convergence
-Lecture 5 -Series with both positive and negative terms
-Lecture 7 - Applications of Laurent Expantions
-Exercise 4
-Discussing topics for Chapter 4
-Lecture 1 - Isolated singular points
-Lecture 3 - Residues and its calculations
-Lecture 4 - Rules for calculating residue I
-Lecture 5 - Rules for calculating residue II
-Lecture 6 - Applications of residue - I
-Lecture 7 - Applications of residue - II
-Lecture 8 - Applications of residue - Examples
-Exercise 5
-Discussing topics for Chapter 5
-Lecture 1 - Concept of conformal mapping
-Lecture 2 - Geometrical explanations of the derivative
-Lecture 3 - Fractional linear mapping I
-Lecture 4 - Fractional linear mapping II
-Lecture 5 - Determine the fractional linear mapping
-Lecture 6 - Determine the fractional linear mapping - examples
-Lecture 7 - Some special mappings
-Exercise 6
-Discussing topics for Chapter 6
-Lecture 1 - Fourier integral formula
-Lecture 2 - Fourier transform and its inverse - I
-Lecture 3 - Fourier transform and its inverse - II
-Lecture 4 - Properties of fourier transform
-Lecture 5 - Convolution and applications of fourier transform
-Exercise 7
-Discussing topics for Chapter 7
-Lecture 1 - Concept of Laplace transform
-Lecture 2 - Properties of Laplace transform - I
-Lecture 3 - Properties of Laplace transform - II
-Lecture 4 - Inverse of Laplace transform
-Lecture 5 - Applications of Laplace transform
-Exercise 8
