NOC:Introduction to Methods of Applied Mathematics


Lecture 1 - Introduction to First Order Differential Equations


Lecture 2 - Introduction to First Order Differential Equations (Continued...)


Lecture 3 - Introduction to Second Order Linear Differential Equations


Lecture 4 - Second Order Linear Differential Equations With Constant Coefficients


Lecture 5 - Second Order Linear Differential Equations With Constant Coefficients (Continued...)


Lecture 6 - Second Order Linear Differential Equations With Variable Coefficients


Lecture 7 - Factorization of Second order Differential Operator and Euler Cauchy Equation


Lecture 8 - Power Series Solution of General Differential Equation


Lecture 9 - Green's function


Lecture 10 - Method of Green's Function for Solving Initial Value and Boundary Value Problems


Lecture 11 - Adjoint Linear Differential Operator


Lecture 12 - Adjoint Linear Differential Operator (Continued...)


Lecture 13 - Sturm-Liouvile Problems


Lecture 14 - Laplace transformation


Lecture 15 - Laplace transformation (Continued...)


Lecture 16 - Laplace Transform Method for Solving Ordinary Differential Equations


Lecture 17 - Laplace Transform Applied to Differential Equations and Convolution


Lecture 18 - Fourier Series


Lecture 19 - Fourier Series (Continued...)


Lecture 20 - Gibbs Phenomenon and Parseval's Identity


Lecture 21 - Fourier Integral and Fourier Transform


Lecture 22 - Fourier Integral and Fourier Transform (Continued...)


Lecture 23 - Fourier Transform Method for Solving Ordinary Differential Equations


Lecture 24 - Frames, Riesz Bases and Orthonormal Bases


Lecture 25 - Frames, Riesz Bases and Orthonormal Bases (Continued...)


Lecture 26 - Fourier Series and Fourier Transform


Lecture 27 - Time-Frequency Analysis and Gabor Transform


Lecture 28 - Window Fourier Transform and Multiresolution Analysis


Lecture 29 - Construction of Scaling Functions and Wavelets Using Multiresolution Analysis


Lecture 30 - Daubechies Wavelet


Lecture 31 - Daubechies Wavelet (Continued...)


Lecture 32 - Wavelet Transform and Shannon Wavelet