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MATH 2P20 NUMERICAL ANALYSIS I Lecture Notes

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Numerical Integration and Di?erentiation Here the objective is clear; we knowthat many functions are impossible tointegrate analyticallysowewanttohaveanaccuratewayofdoingthisnumerically We would also like to have some idea and control over the accuracy of the results Integration Thewayhowwecannumericallyevaluate RB A y(x)dxis to choose a



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Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly



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numerical analysis has enabled the development of pocket calculators and computer software to make this routine But numerical analysis has done much more than this We will see that far more complex functions de?ned e g only implicitly can be evaluated just as easily and with the same tech-nology



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Rectangular coordinates in 3-space Spheres and cylindrical surfaces Vectors viewed geometrically Vectors in coordinate systems Vectors determined by length and angle Dot product Cross product and their geometrical properties Parametric equations of lines in 2-space and 3-space





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What is numerical analysis?

    Introduction Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems. Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly.

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