This course is intended to give you a significant experience in solving relatively complicated problems in applied mathematics and some introduction to the approximate solution of mathematical problems using numerical methods. The course will involve a significant component in modelling. The modelling will be used to translate real problems or idealized versions of real problems into mathematical terms. A large number of numerical methods will be introduced throughout the semester. Students will be expected to implement algorithms and analyse the output of your computer code relative to the original problem.

Upon successful completion of this course, one should be able to: 1. Describe di_culties that can arise because computers usually use finite precision, often non-decimal arithmetic. 2. List sources of error in computation, particularly to be able to identify when catastrophic cancellation may occur in a given computation.

Upon successful completion of this course, the student will be able to • Analyze a practical problem, understand the mathematical basis of the problem, • Then proceed to develop and implement an algorithm to find a numerical solution of the problem. • Study the solution and develop a practical interpretation of the numerical results. • Effectively communicate the solution and its interpretation to others

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Book Title : Applied Numerical Analysis

Author : Gerald/Weatley

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Book Title : Applied Numerical Analysis

Author : Addison Wesley

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Book Title : Numerical Analysis

Author : Saeed Akhtar Bhatti

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Book Title : Numerical Methods in Scientific Computing

Author : Germund Dahlquist and Åke Björck

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Book Title : Numerical Methods for Scientific Computing

Author : J.H. Heinbockel

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Book Title : Numerical Analysis

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Book Title : Numerical Analysis and Programming

Author : Shan S Kuo

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Book Title : Numerical Analysis

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Book Title : Numerical Analysis

Author : Gerald

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