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Theory of Splines-I (MATH-425 & MATH-453)
Week 01-02: Basic concepts of Euclidean geometry, Scalar and vector functions, Barycentric coordinates, convex hull,
Week 01-02: Basic concepts of Euclidean geometry, Scalar and vector functions, Barycentric coordinates, convex hull,
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ch-1.pdf (0.44 MB )
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Course Material
Week 01-02: Basic concepts of Euclidean geometry, Scalar and vector functions, Barycentric coordinates, convex hull,
Week 03-04: Matrices of affine maps, Translation, Rotation, Scaling, Reflection and shear.
Week 05-06: Curve fitting, Least squares line fitting, Least squares power fit, Data linearization method for exponential functions.
Week 07-08: Nonlinear least-squares method for exponential functions, Transformations for data linearization.
Week 09: Mid Term Examination
Week 10-11: Linear least squares, Polynomial fitting, Basic concepts of interpolation, Lagrange’s method.
Week 12-13: Error terms and error bounds of Lagrange’s method, Divided differences method, Newton polynomials.
Week 14-15: Error terms and error bounds of Newton polynomials, Central difference interpolation formulae.
Week 16-17: Gauss’s forward interpolation formula, Gauss’s backward interpolation formula, Hermite’s methods.
Week 18: Final Term Examination
Chapters
10
Department
Mathematics
Teacher
Dr. Muhammad Abbas