Weeks | Topics |
1 |
Mathematical Preliminaries, Taylor's theorem and its applications
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2 |
Types of Errors, Computer Arithmetic
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3 |
Solutions of Nonlinear Equations: Simple Iteration Method, Newton-Raphson Method
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4 |
Solutions of Nonlinear Equations: Bisection Method, Regula-Falsi Method
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5 |
Solutions of Nonlinear Equations: Secant Method, Combination of Newton-Raphson and Regula Falsi Methods
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6 |
Simple Iteration Method for Systems of Nonlinear Equations, Newton-Raphson Method for Systems of Nonlinear Equations
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7 |
Solutions of Systems of Linear Equations: Cramer Method, Gaussian Elimination Method, Gauss Jordan Method
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8 |
Solutions of Systems of Linear Equations: Jacobi Iteration Method, Gauss-Sidel Iteration Method
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9 |
Interpolation Methods: Interpolation with Taylor Series, Lagrange Interpolation Method
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10 |
Newton Interpolation Formulas: Newton forward difference approximation, Newton backward difference approximation
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11 |
Numerical Differentiation
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12 |
Numerical Integration
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13 |
Applications of Numerical Differentiation and Numerical Integration
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14 |
Curve Fitting: Least squares method, Linear Regression, Models converted to Linear
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