Numerical analysis

$54.91

This is an introductory course in numerical analysis. It gives insight into the theory and application of numerical algorithms to solving a variety of mathematical problems. Topics include computer arithmetic, the solution to a system of equations, number systems and errors, an approximation of functions, polynomials and interpolation, numerical integration, differentiation, numerical solution of initial value problems, matrix computations, etc. The course also entails the use of numerical software packages, like MATLAB and/or a high-level programming language.

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Description

This is an introductory course in numerical analysis. It gives insight into the theory and application of numerical algorithms to solving a variety of mathematical problems. Topics include computer arithmetic, the solution to a system of equations, number systems and errors, an approximation of functions, polynomials and interpolation, numerical integration, differentiation, numerical solution of initial value problems, matrix computations, etc. The course also entails the use of numerical software packages, like MATLAB and/or a high-level programming language.
On course completion, students would have:
• Learned some applicable methods for solving different kinds of equation systems, non-linear optimization problems as well as techniques for approximating functions using simpler functions, like trigonometric and polynomials functions.
• Learned vital mathematical methods to solving real-life problems, including interpretation and analysis of the results and understanding of the importance of reproducibility.
• Learned various limitation skills of the various mathematical approximations, and the consequence of computer approximation errors
Prerequisites: A fundamental knowledge of college-level mathematics (usually calculus and linear algebra), and a proficiency in basic programming level

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