Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-413 Theory of Approximation and Splines-I
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MATH-413 Theory of Approximation and Splines-I
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Euclidean Geometry Basic concepts of Euclidean geometry Scalar and vector functions Barycentric coordinates Convex hull, matrices of affine maps: translation, rotation, scaling, reflection and shear Approximation using Polynomials Curve Fitting: Least squares line fitting, least squares power fit, data linearization method for exponential functions, nonlinear least-squares method for exponential functions, transformations for data linearization, linear least squares, polynomial fitting Interpolation: Basic concepts of interpolation, Lagrange’s method, error terms and error bounds of Lagrange’s method, divided differences method, Newton polynomials, error terms and error bounds of Newton polynomials, central difference interpolation formulae; Gauss’s forward interpolation formula, Gauss’s backward interpolation formula, Hermite’s methods |
| Credit hours/ Marks:- 3 |
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