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<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL107<br /> | name = Numerical Methods and Computations<br /> | credits = 3<br /> | credit_structure = 3-0-0<br /> | pre_requisites = <br /> | overlaps = MTL509, CLL113, CVL763<br /> }}<br /> <br /> == MTL107 : Numerical Methods and Computations ==<br /> Errors in computation: source and types of errors, error propagation. Computer representation of numbers: floating point representation, rounding error and floating point arithmetic. Roots of nonlinear equation in one variable: Direct and iterative methods, order of convergence. Iterative methods for roots of nonlinear system of equations. Linear systems of equations: Direct and iterative methods, rate of convergence of iterative methods, Condition number and ill-conditioned systems. Interpolation: Lagrange, Newton divided difference formula, Newton&#039;s interpolations, errors in interpolation. Approximation: least square and uniform approximations. Differentiation: differentiation using interpolation formulas. Integration using interpolation: Newton-Cotes formulas, Gauss quadrature rules. Ordinary differential equations: Taylor, Euler and Runge-Kutta methods. Implementation of these methods. Courses of Study 2024-2025 Mathematics 267</div>

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