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Harmonic Functions
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Classroom Contents
Advanced Engineering Mathematics
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- 1 Analytic Functions, C-R Equations
- 2 Harmonic Functions
- 3 Line Integral in the Complex
- 4 Cauchy Integral Theorem
- 5 Cauchy Integral Theorem (Contd.)
- 6 Cauchy Integral Formula
- 7 Power and Taylor Series of Complex Numbers
- 8 Power and Taylor Series of Complex Numbers (Contd.)
- 9 Taylor's , Laurent Series of f(z) and Singularities
- 10 Classification of Singularities, Residue and Residue Theorem
- 11 Laplace Transform and its Existence
- 12 Properties of Laplace Transform
- 13 Evaluation of Laplace and Inverse Laplace Transform
- 14 S30 2072
- 15 Applications of Laplace Transform to PDEs
- 16 Fourier Series (Contd.)
- 17 Fourier Integral Representation of a Function
- 18 Introduction to Fourier Transform
- 19 Applications of Fourier Transform to PDEs
- 20 Laws of probability I
- 21 Laws of probability II
- 22 Problems in probability
- 23 Random variables
- 24 Special Discrete Distributions
- 25 Special Continuous distributions
- 26 Vector Spaces, Subspaces, Linearly Dependent / Independent of Vectors
- 27 Review Groups, Fields and Matrices
- 28 Basis, Dimension, Rank and Matrix Inverse
- 29 Jordan Canonical Form,Cayley Hamilton Theorem
- 30 Concept of Domain, Limit, Continuity and Differentiability
- 31 Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices
- 32 Spectrum of special matrices,positive/negative definite matrices
- 33 System of Linear Equations, Eigen values and Eigen vectors
- 34 Linear Transformation, Isomorphism and Matrix Representation
- 35 Orthogonality , Gram-Schmidt Orthogonalization Process
- 36 Inner Product Spaces, Cauchy - Schwarz Inequality
