Numerical Method (CSC212) — Notes, Syllabus & Past Questions

Numerical techniques for solving mathematical equations using computer algorithms.

Core Course6 Chapters
Chapter 130 Pages

Solution of Nonlinear Equations

Errors in Numerical Calculations, Sources of Errors, Propagation of Errors, Review of Taylor's Theorem, Solving Non-linear Equations by Trial and Error method, Half-Interval method and Convergence.

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Chapter 229 Pages

Interpolation and Regression

Interpolation vs Extrapolation, Lagrange's Interpolation, Newton's Interpolation using divided differences, forward differences and backward differences, Cubic spline interpolation.

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Chapter 323 Pages

Numerical Differentiation and Integration

Differentiating Continuous Functions (Two-Point and Three-Point Formula), Differentiating Tabulated Functions by using Newton's Differences, Maxima and minima of Tabulated Functions.

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Chapter 426 Pages

Solving System of Linear Equations

Review of the existence of solutions and properties of matrices, Gaussian elimination method, pivoting, Gauss-Jordan method, Inverse of matrix using Gauss-Jordan method.

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Chapter 518 Pages

Solution of Ordinary Differential Equations

Review of differential equations, Initial value problem, Taylor series method, Picard's method, Euler's method and its accuracy, Heun's method, Runge-Kutta methods.

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Chapter 67 Pages

Solution of Partial Differential Equations

Review of partial differential equations, Classification of partial differential equation, Deriving difference equations, Laplacian equation and Poisson's equation, engineering examples.

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