Numerical Analysis (MTCE2063)

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Numerical Analysis, Scheid, Schaum Series, Latest Edition

Complex Variables, Murray R. Spiegel, Schaum Series, Latest Edition

1. To introduce various techniques for solving linear, non-linear, and difference equations using various numerical methods.

2. To apply gained knowledge to solve practical problems.

CLO:1              Learn solution of non-linear equations.

CLO:2              Understand finite difference.

CLO:3              Be able to do numerical integration.

CLO:4              Solve linear simultaneous equations.

CLO:5              Recognize complex variables.

• Bisection method
• Newton’s method
• Secant method
• Method of false position
• Method of successive approximation

• Finite differences
• Difference operators and tables
• Differences of polynomials
• Newton’s and Gauss interpolating techniques for equally spaced data
• Simple theorems on divided differences
• Newton’s formula for unequal intervals
• Lagrange’s formula of interpolation
• Numerical differentiation

• Review of integration concept and their physical significance for Engineering
• Trapezoidal and Simpson’s rule numerical integration techniques

• Jacobi’s method, Gauss-Seidal method
• Sparse matrices, Solution of differential equation
•  Euler and modified Euler methods
• Runge-Kutta method

• Limit, continuity, zeros and poles
• Cauchy-Reimann Equations
• Conformal transformation
• Contour integration