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Lecture NumberNumerical MethodsRemarks
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1Introduction, Significant figures and Significant errors, Numbers and their accuracy, Inherent errors (Data Errors, Conversion Errors), Numarical Errors (Computational Errors Round off error), Examples
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2Chopping, Trunctation Error, Absolute, Relative and Relative percentage errors, Examples.
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3operators - Forward Difference, Backward Difference, Shift Difference Operators, Definitions and Some relations among them.
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4Interpolation, The problem of I nterpolation, Equispaced arguments, Difference Tables, Examples
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5Deduction of Newton's Forward Interpolation Formula, Remaider Term (Expression only), Problems
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6Newton's Backward interpolation formula (Statement only) with remainder term. Problems.
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7Unequally - spaced arguments, Lagrange's Interpolation formula (statement only), Some Problems
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8Numerical Problems on Interpolation with both equi and unequally spaced arguments.
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9Numerical Integration: Trapizoidal formula and Some problems
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10Statement of Simpson's 1/3 formula. Problems on Numerical Integration.
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11Solution of Numerical Integration: To find a real root of an algebraic or transcendental Equation, Location of root (Tabular method)
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12Bisection method with geometrical significance and some examples
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13Newton-Rapson Method with Geometrical Significance. Some Problems on it.
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14Class Test
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