The course will develop numerical methods aided by technology to solve algebraic, transcendental, and differential equations, and to calculate derivatives and integrals. The course will also develop an understanding of the elements of error analysis for numerical methods and certain proofs. The course will further develop problem solving skills.
The purpose of this course is to present basic calculus concepts and show you how to deal with problems. In this way the development of the calculus comes about as a means of solving problems by using MATLAB laboratory
Distribution of Marks
George B. Thomas, Jr. " Calculus", International Edition 11'th, Addison-Wesley, 2005.
Ross L. Fenny and George B. Thomas, Jr. " Calculus", Addison-Wesley, 1990.
Frank E. Junior and Fillip Schmidt, "Collage Mathematics", Shum's Series, McGraw-Hill Inc. 1992, Academia International 2001.
Chapter One Preliminaries(errors)
Chapter Two: Solving Nonlinear Equations
Interval Halving (Bisection),
Linear Interpolation Methods
Chapter Three Solving Set of Equations
Matrices and Vectors, Elimination Methods
Gaussian Elimination & Gauss Jordan, The invers of a matrix and matrix pathology
Chapter Five: Approximation of Functions
Taylor & Maclaurin Series
Chapter Four: Interpolation & Curve Fitting
Fitting a Polynomial to Data
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