Advanced Numerical Analysis

Learn "Advanced Numerical Analysis" in Five Weeks Only
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235 students
Advanced Numerical Analysis
Rating: 0.0 out of 5 (0 ratings)
235 students
Use the divided difference to interpolate and approximate functions by polynomials.
Use the iterative methods with algorithms to implement several numerical methods.
Apply the midpoint rule for finding numerical integration.
Apply the trapezoidal rule for finding numerical integration.
Use the divided difference formula to proof the approximation part and error part in the basic quadrature rules.
The ability to use computer software such as Maple to apply several numerical methods and approximations.


  • Introduction to Numerical Analysis
  • Linear Algebra
  • The desire to learn


 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.

Who this course is for:

  • Anyone who wants to learn advanced methods in numerical analysis.
  • Students who had a background in the bascis of numerical analysis.
  • Students who had a background in the linear algebra.

Course content

7 sections • 21 lectures • 6h 49m total length
  • Newton’s Method for Systems
  • Müller’s Method


Online Instructor of Numerical Analysis at Udemy
Mohammed K A Kaabar
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  • 473 Students
  • 1 Course

Mohammed Kaabar received his undergraduate and graduate degrees both in Mathematics from Washington State University (WSU), Pullman, WA, United States. He is a holder of Palestinian Authority Passport, and he was born in Furjairah, United Arab Emirates. He visited and lived in USA, Canada, Malaysia, Singapore, UAE, and Indonesia. He speaks four languages: Arabic, English, Bahasa (Malaysia and Indonesia), and Spanish. He studied through distance education programs several STEM and leadership courses offered by Harvard University, MIT, École Polytechnique Fédérale de Lausanne (EPFL), University of Michigan, UC Berkeley, University of Toronto, University of Rochester, and University of British Colombia. He has a diverse cultural and educational experience from visiting and residing in various beautiful countries worldwide such as United States of America, Canada, United Arab Emirates, Singapore, Indonesia, and Malaysia. He worked as an adjunct math faculty member at Moreno Valley College, California, United States, and he also worked as a lab instructor and math tutor at the Math Learning Center (MLC) at Washington State University, Pullman. He is the author of (A Friendly Introduction to Differential Equations) and (A First Course in Linear Algebra) Books, and his research interests are fractional differential equations, applied mathematics, math education, data science and analysis, STEM education, and educational leadership. He is an invited Technical Program Committee (TPC) member for several conferences in applied mathematics and engineering indexed by IEEE Xplore and SCOPUS/ISI/Web of Science and held in several countries such as USA, Italy, Canada, Spain, France, UK, Indonesia, Kazakhstan, Malaysia, India, Turkey, UAE, Tunisia, Morocco, Saudi Arabia, Jordan, and Bahrain. He is a former editor for the American Mathematical Society (AMS) Blog, and he is also a certified peer reviewer and member of the math editorial board at Multimedia Educational Resource for Learning and Online Teaching (MERLOT) which is a program of the California State University System partnering with education institutions, professional societies, and industry. For more information about him, please visit his personal website.