2140606 NSM Syllabus Civil Engineering
| Sr.No. | 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
Teaching Hours
|
7.00%
Module Weightage
|
|
2
|
Probability Distributions: Random variable, Mathematical Expectation, Standard Deviation, Binomial, Poisson and Normal distributions, Mean, Median, Mode |
5
Teaching Hours
|
12.00%
Module Weightage
|
|
3
|
Descriptive Statistics: Mean, Median, Mode, Standard deviation, Skewness |
3
Teaching Hours
|
8.00%
Module Weightage
|
|
4
|
Correlation and Regression: Bivariate distribution, Correlation coefficients, Regression lines, Formulas for Regression coefficients, Rank correlation |
4
Teaching Hours
|
10.00%
Module Weightage
|
|
5
|
Curve Fitting: Fitting of Linear, Quadratic, Exponential and Logarithmic curves, Least squares method |
3
Teaching Hours
|
8.00%
Module Weightage
|
|
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
Teaching Hours
|
15.00%
Module Weightage
|
|
7
|
Numerical Integration: Newton-Cotes formula, Trapezoidal and Simpson’s formulae, error formulae, Gaussian quadrature formulae |
3
Teaching Hours
|
8.00%
Module Weightage
|
|
8
|
Solution of a System of Linear Equations: Gauss elimination, partial pivoting , Gauss-Jacobi and Gauss-Seidel methods |
3
Teaching Hours
|
7.00%
Module Weightage
|
|
9
|
Roots of Algebraic and Transcendental Equations: Bisection, false position, Secant and Newton-Raphson methods, Rate of convergence |
4
Teaching Hours
|
10.00%
Module Weightage
|
|
10
|
Numerical solution of Ordinary Differential Equations: Taylor series method, Euler method, Runge-Kutta method of order four, Milne’s Predictor-Corrector method |
6
Teaching Hours
|
15.00%
Module Weightage
|