| 1 |
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Introduction, Errors in Numerical Operations |
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| 2 |
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Matrix, Solutions of Linear Equation Systems, Introduction |
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| 3 |
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Direct Methods I: LU, Separation Method, Dolittle Method, Crout Method |
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| 4 |
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Direct Methods II: Cholesky Method |
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| 5 |
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Indirect Methods: Jacobi Method, Gauss Seidel Method, Error Analysis in Linear Equation System Solutions |
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| 6 |
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Nonlinear Equations I: Finding the Root Interval, Bisection Method |
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| 7 |
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Nonlinear Equations II: Fixed point iteration method, Newton Raphson Method |
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| 8 |
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MID-TERM EXAM |
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| 9 |
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Approximation Method I: Interpolation, Interpolation Polynomials |
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| 10 |
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Approximation Method II: Lagrange Interpolation, Newton Interpolation, Divided Differences Interpolation |
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| 11 |
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Numerical Derivativaton I: Forward Difference - Backword Difference - Central Difference Methods |
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| 12 |
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Numerical Derivativaton II: First and second order derivatives |
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| 13 |
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Numerical Integration I: Pivot Point, Interpolation Line and Integration Formulas |
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| 14 |
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Numerical Integration II: Interpolation Parabola, Simpson's Method, Numerical Integral Error Analysis |
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| 15 |
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An overview |
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| 16 |
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FINAL EXAM |
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| 17 |
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FINAL EXAM |
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