Mohammed Kaabar is interested in several programming languages such as Scala, C++, C, JavaScript, Python, HTML 5 and MATLAB Programming.
He became IEEE Student Member, IEEE Computer Society Member, IEEE Electron Devices Society Member, IEEE Women in Engineering Society Member and IEEE Communications Society Member, in 2011 and 2012, respectively. In 2011 & 2012, he participated in several competitions, conferences, research papers and projects. In 2011, he attended also a three-month course in numerical approximation techniques including error analysis, root finding, interpolation, function approximation, numerical differentiation, numerical integration and numerical solutions of initial value problems. Ultimately, he worked on several projects such as “PCA Implementation and Classification of Data in Recognition of Arabic Sign Language Alphabet using Polynomial Classifiers” and “Modeling a GaAs MESFET Device Structure using Silvaco Software:Athena and Atlas”. For more information about him, please visit his personal website: http://www.mohammed-kaabar.net
In this course, you will be Introduced to several numerical approximation methods such as interpolation: divided difference, polynomial approximations, iterative methods for solving linear systems, numerical differentiation and numerical integration.
During five weeks of the course, you will be learning these methods and compare them as well.
The course is divided into five weeks where each week you will find a set of video lectures posted with a PDF version of lecture notes as well.
You are welcome to take this course if you want to learn and study the advanced numerical analysis methods.
I highly recommend you to solve this problem set before looking at problem set solutions.
GOOD LUCK!
GOOD LUCK!
In this lecture, you will be introduced to whether matrix is diagonally dominant or not in order to use it for applying gauss-siedel method. Moreover, several examples about that were given.
In this lecture, you will be introduced to the successive over relaxation (SOR) method and how does this method depend on gauss-siedel method?. In addition, the algorithm of SOR method was also given, At the end of this lecture, an example about SOR method was given.
In this lecture, you will be introduced to the successive over relaxation (SOR) method and how does this method depend on gauss-siedel method?. In addition, the algorithm of SOR method was also given, At the end of this lecture, an example about SOR method was given.
In this lecture, you will be introduced to the trapezoidal rule which is one of the basic quadrature rules. Moreover, you will be introduced the proofs of both approximation part and error of trapezoidal rule.
In this lecture, you will given a summary of all topics discussed in the Advanced numerical analysis course.
This is a great course to learn about advanced topics in numerical analysis in very easy way because the instructor of this course makes everything easy to follow and gives an excellent coverage of the topics in his lectures. He also has a great knowledge of all topics of the course with all their applications because he teaches these topics using all modern education tools in order to make his students understand everything in the course and love the course in general and all courses related to numerical analysis.
Thanks Mohammed Kaabar for teaching this advanced version of your introductory course "Introduction to Numerical Analysis".
I really enjoyed this course and I found it very helpful for understanding advanced numerical approximation techniques that can be used in several real life applications. In addition, the instructor makes the course topics very interesting because he teaches the course material in an excellent way by explaining first the concept, giving many examples about that concept, and then comparing between this concept and other discussed concepts.
Taking this course makes me love mathematics, statistics, computer engineering and computer science.
Thank you Mohammed Kaabar for publishing this very interesting advanced course.
The Advanced Numerical Analysis course is a great course and very helpful in our life as well as it includes amazing topics in advanced numerical analysis such as newton's method, Muller's method, Divided difference, iterative methods and numerical integration & differentiation. In addition, the instructor is excellent because he taught the material of this course in an excellent way that makes everyone understands the course material easily without any difficulty.
This is an amazing course for anyone interested in mathematics, statistics, advanced numerical analysis and engineering because it can benefit them to solve complex mathematical, physical and engineering problems. I highly recommend everyone to register this advanced version of "Introduction to Numerical Analysis" course if you want to learn advanced topics in numerical analysis.
Thank you for offering this excellent course.
Thanks for offering this excellent course. I really liked this course so much because you made a huge effort in order to offer for us a free online course in advanced numerical analysis, and I learned several topics in advanced numerical analysis such as muller's method, newton's method using vector and inverse jacobian, divided differences, jacobi method, gauss-siedel method, SOR method and numerical integration and differentiation.
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