What is Principal Component Analysis? Principal Component Analysis (PCA) is a statistical procedure and an Unsupervised Learning Algorithm for reducing the dimensionality of a data set while retaining as much information as possible. PCA does this by finding a set of new variables, called “Principal Components”, that are linear combinations of the original variables. The principal components are chosen so ...

In this video tutorial, “Numerical Computations in MATLAB” has been reviewed. In fact, the built-in capabilities of MATLAB are used to perform numerical computations, which are very useful in enormous fields of applied science and engineering, including: Root finding and equation solving Solving system of equations Eigenvalues, eigenvectors and eigendecomposition Singular Value Decomposition Interpolation, curve fitting and surface modeling Numerical ...

In this video tutorial, “Optimization” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Three sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Linear Programming and Mixed-Integer LP (YouTube) Section 2: Quadratic Programming (YouTube) Section 3: ...

In this video tutorial, “Numerical Solution of Differential Equations” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Three sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Solving Ordinary Differential Equations (YouTube) Section 2: Solving Boundary ...

In this video tutorial, the way of working with “Polynomials” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online This video tutorial are available on YouTube and it is embedded into this page. Video File Working with Polynomials (YouTube)   Citing This Work If you wish, you can cite this ...

In this video tutorial, “Integration and Differentiation” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Four sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Numerical Integration using integral and quadgk (YouTube) Section 2: Double and ...

In this video tutorial, “Interpolation” has been reviewed and implemented using MATLAB. Watch Online Five sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Polynomial Fitting using polyfit (YouTube) Section 2: Interpolation Using interp1 to interpn (YouTube) Section 3: Interpolation Using interpft (YouTube) Section 4: Interpolation using ...

In this video tutorial, “Eigenvalues and Eigenvectors”  and “Singular Value Decomposition” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Two sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Eigenvalues and Eigenvectors (ِYouTube) Section 2: Singular Value ...

In this video tutorial, “Root Finding Methods” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Four sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Finding roots of polynomials using roots (ِYouTube) Section 2: Finding roots ...

The Runge-Kutta method is a numerical technique used to solve ordinary differential equations by iteratively approximating the solution. This essential technique is pivotal for solving ordinary differential equations, commonly employed in modeling dynamic systems. Python and MATLAB serve as ideal platforms for hands-on learning, offering robust libraries. Mastering Runge-Kutta is crucial for applications in physics, engineering, and biology. Join our ...