# Numerical and Statistical Methods for Civil Engineering (2140606)

Syllabus

Sr. Topics Teaching Hours Module Weightage
1
Reorientation:

Definition of probability, Exhaustive events, Pair wise independent events, Multiplicative law of probability, Conditional probability, Baye’s theorem

3
7 %
2
Probability Distributions:

Random variable, Mathematical Expectation, Standard Deviation, Binomial, Poisson and Normal distributions, Mean, Median, Mode

5
12 %
3
Descriptive Statistics:

Mean, Median, Mode, Standard deviation, Skewness

3
8 %
4
Correlation and Regression:

Bivariate distribution, Correlation coefficients, Regression lines, Formulas for Regression coefficients, Rank correlation

4
10 %
5
Curve Fitting:

Fitting of Linear, Quadratic, Exponential and Logarithmic curves, Least squares method

3
8 %
6
Finite Differences and Interpolation:

Finite Differences, Forward, Backward and Central operators, Interpolation by polynomials: Newton’s forward ,Backward interpolation formulae, Gauss & Stirling’s central difference formulae , Newton’s divided and Lagrange’s formulae for unequal intervals

8
15 %
7
Numerical Integration:

Newton-Cotes formula, Trapezoidal and Simpson’s formulae, error formulae, Gaussian quadrature formulae

3
8 %
8
Solution of a System of Linear Equations:

Gauss elimination, partial pivoting , Gauss-Jacobi and Gauss-Seidel methods

3
7 %
9
Roots of Algebraic and Transcendental Equations:

Bisection, false position, Secant and Newton-Raphson methods, Rate of convergence

4
10 %
10
Numerical solution of Ordinary Differential Equations:

Taylor series method, Euler method, Runge-Kutta method of order four, Milne’s Predictor-Corrector method

6
15 %