Numerical Analysis II

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Course Code: 
MTH3102
Course Credit Units: 
3
Semester: 
Semester 1
Year of Study: 
Year 3
Undergraduate or Graduate Level: 
Undergraduate Level
Academic Programs: 
Bachelor Of Science (Mathematics)
College: 
College of Natural Sciences
School: 
School of Physical Sciences
Department: 
Mathematics
Course Discipline: 
mathematics
Course Description & Objectives: 

This course is continuation of the Numerical Analysis I course.   In this course we cover the following areas:  Orthogonal functions, Gauss Quadrature rules, approximation theory, numerical solution of ordinary differential equations and solutions of partial differential equations. 

Learning Outcomes: 

By the end of this course the student should be able to:

  • Define an orthogonal Sequence of functions and use orthogonal functions in integration
  • Approximate discrete data or continuous functions by least squares
  • Solve ordinary differential equations by common numerical techniques
  • Approximate a solution of a partial differential equation by finite differences
  • Write computer codes for the Gauss – Quadrature rules and the techniques for solving ordinary and partial differential equations. 

 

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