MTL107: Difference between revisions
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| credit_structure = 3-0-0 | | credit_structure = 3-0-0 | ||
| pre_requisites = | | pre_requisites = | ||
| overlaps = MTL509, CLL113, CVL763 | | overlaps = [[MTL509]], [[CLL113]], [[CVL763]] | ||
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== MTL107 : Numerical Methods and Computations == | == MTL107 : Numerical Methods and Computations == | ||
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'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 | 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'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 | ||
Latest revision as of 16:42, 14 April 2026
| MTL107 | |
|---|---|
| Numerical Methods and Computations | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | MTL509, CLL113, CVL763 |
MTL107 : Numerical Methods and Computations
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'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