Numerical And Statistical Methods for Civil Engineering
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Numerical And Statistical Methods for Civil Engineering Syllabus — Unit-wise Content
The official GTU curriculum for Numerical And Statistical Methods for Civil Engineering (subject code 2140606) as prescribed for Civil Engineering · Semester 4 divides the course into 10 units, covering 40 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2140606)Unit 1 Reorientation
- Definition of probability
- Exhaustive events
- Pair wise independent events
- Multiplicative law of probability
- Conditional probability
- Baye’s theorem
Unit 2 Probability Distributions
- Random variable
- Mathematical Expectation
- Standard Deviation
- Poisson and Normal distributions
- Mode Statistics
Unit 3 Descriptive Statistics
- Standard deviation
Unit 4 Correlation and Regression
- Bivariate distribution
- Correlation coefficients
- Regression lines
- Formulas for Regression coefficients
- Rank correlation
Unit 5 Curve Fitting
- Fitting of Linear
- Exponential and Logarithmic curves
- Least squares method Numerical Methods
Unit 6 Finite Differences and Interpolation
- Finite Differences
- 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
Unit 7 Numerical Integration
- Newton-Cotes formula
- Trapezoidal and Simpson’s formulae
- error formulae
- Gaussian quadrature formulae
Unit 8 Solution of a System of Linear Equations
- Gauss elimination
- partial pivoting
- Gauss-Jacobi and Gauss- Seidel methods
Unit 9 Roots of Algebraic and Transcendental Equations
- false position
- Secant and Newton-Raphson methods
- Rate of convergence
Unit 10 Numerical solution of Ordinary Differential Equations
- 06 Taylor series method
- Euler method
- Runge-Kutta method of order four
- Milne’s Predictor-Corrector method
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