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• Forward and backward difference formulae
• Centered difference formulae and Lagrange interpolation
• Newton’s divided difference formula
• Interpolation with a cubic spline
• Hermite interpolation
• Least squares approximation
• Difference Equations
• Formation of Difference equation
• Mid Term Exams
• Newton-Cotes formulae and Richardson’s extrapolation
• Numerical integration: Rectangular rule, trapezoidal rule, Simpson’s 1/3 and 3/8 rules
• Boole’s and Weddle’s rules and Gaussian Quadrature
• Differential Equation and Taylor's series method
• The Euler and modified Euler method, Runge-Kutta methods
• Predictor-Corrector type methods for solving initial value problems along with convergence and instability criteria
• Finite difference
• Collocation and Variational method for boundary value problems
• Final Term Exams