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Week
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Topics
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Study Metarials
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1
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Introduction to numerical analysis, error concept and error types, Taylor and Maclaurin series
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R1-Chapter 1, R2-Chapter 2, R3-Chapter 1
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2
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The solution of linear equation systems by numerical methods, matrix concepts, matrix types, matrix transposition, matrix operations, elementary row operations, the inverse of matrices
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R4-Chapter 3, R5-Chapter 7
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3
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Determinant calculation (Sarrus method), minor and cofactor calculation, determinant calculation with cofactor, determinant properties
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R4-Chapter 3, R5-Chapter 7
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4
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Solution method of linear equation systems, positive and semi-positive definite matrices, Cholesky factorization method, Jacobi iteration method, Gauss Seidel iteration method
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R4-Chapter 3, R5-Chapter 7
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5
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Numerical solution of nonlinear equations, division by two method, interpolation method, Newton Raphson method
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R6-Chapter 6, R7-Chapter 3, R3-Chapter 6, Chapter 8
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6
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Secant method, Repetition method, Least squares method
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R6-Chapter 6, R7-Chapter 3, R3-Chapter 6, Chapter 8
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7
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Interpolation, linear interpolation method, curvilinear interpolation method, Lagrange interpolation method
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R3-Chapter 7, R2-Chapter 9
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8
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Numerical differential, Taylor series method, Euler method
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R1-Chapter 10, R2-Chapter 9
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9
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Picard iteration method, Range Kunta method
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R1-Chapter 10, R2-Chapter 9
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10
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Second order Range Kunta method, Heun method
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R1-Chapter 10, R2-Chapter 9
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11
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Midpoint method, Ralston method
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R1-Chapter 10, R2-Chapter 9
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12
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Third order Range Kunta method, Fourth order Range Kunta method
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R1-Chapter 10, R2-Chapter 9
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13
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Numerical integral, trapezoid rule
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R1-Chapter 8, R2-Chapter 8
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14
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Simpson 1/3, Simpson 3/8
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R1-Chapter 8, R2-Chapter 8
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