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MuPAD Tutorial II
Introduction
Matrix Algebra
Matrices
Determinants and Inverses
Eigenvalues and Eigenvectors
Linear Systems
Diagonalization
Sylvester Formula
Resolvent Method
Spectral Decomposition
Positive Matrices
Miscellaneous Examples
References
Systems of ODEs
Intro
Phase Portrait
Linearization
Variation of Parameters
Undetermined Coefficients
Laplace Transform
Second Order ODEs
Euler System
Limit Circles
Lyapunov Method
Applications
Fourier Series
Sturm--Liouville Problems
Green Functions
Orthogonal Expansions
Fourier Series
Gibbs Phenomenon
Even and Odd Functions
Cesaro Approximations
Applications
PDEs
Heat Conduction problems
Other Heat problems
Wave equation
Transvers Vibrations
Laplace Equation
Laplace in Polar coor--s
Applications
Resources
Matrices