Numerical and Statistical Methods
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Numerical and Statistical Methods Syllabus — Unit-wise Content
The official GTU curriculum for Numerical and Statistical Methods (subject code 3144007) as prescribed for Civil Infra · Semester 4 divides the course into 8 units, covering 34 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 (3144007)Unit 1 Numerical Solutions
- Roots of Algebraic and Transcendental Equations: Bisection
- false position
- Secant and Newton-Raphson methods
Unit 2 Interpolation
- Finite Differences
- Newton's Forward and Backward interpolation
- Newton’s divided formulae and Lagrange’s interpolation formulae for unequal intervals
Unit 3 Numerical Integration
- Newton-Cotes formula
- Trapezoidal and Simpson’s formulae
- Gaussian quadrature formulae
Unit 4 Numerical solution of ODE
- Taylor’s series method
- Euler methods and Runge - Kutta methods
- Statistical Methods
Unit 5 Probability
- Classical & Set theoretic approach
- Conditional probability
- Bayes' theorem
- Probability distribution
- probability mass function
- probability density function
- Poisson distribution
- Normal distribution
Unit 6 Basic Statistics
- Measures of central tendency
- Correlation and Regression
Unit 7 Curve fitting
- Curve fitting by of method of least squares
- fitting of straight lines
- second degree parabola and more general curves
- Bachelor of Civil and Infrastructure Engineering Subject Code: 3144006
Unit 8 Applied Statistics
- Sampling and Estimation: Formation of Hypothesis
- Test of significance: Large sample test for single mean & proportion
- Difference of means & proportions
- Test of significance for Small samples: t- test for single mean
- difference of means
- t-test for correlation coefficients
- F- test for ratio of variances
- Chi-square test for goodness of fit and independence of attributes