This series of video tutorials covers the numerical methods for Root Finding (Solving Algebraic Equations) from theory to implementation. In this course, three methods are reviewed and implemented using Python and MATLAB from scratch. At first, two interval-based methods, namely Bisection method and Secant method, are reviewed and implemented. Then, a point-based method which is knowns as Newton’s method for ...

What are Genetic Algorithms? Genetic algorithms (GAs) are like nature-inspired computer programs that help find the best solutions to problems. They work by creating lots of possible solutions, like mixing and matching traits, just as animals do. Then, they pick the best ones and repeat the process, making each new generation even better. It’s like evolution in your computer, finding ...

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 ...