Numerical and Statistical Methods

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NUMERICAL AND STATISTICAL 3144007
FREE PDF 3144007
Code: 3144007 Credits: 4 Semester 4 Civil Infra

Numerical and Statistical Methods

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

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

3 lecture hours

  • Roots of Algebraic and Transcendental Equations: Bisection
  • false position
  • Secant and Newton-Raphson methods

Unit 2 Interpolation

3 lecture hours

  • Finite Differences
  • Newton's Forward and Backward interpolation
  • Newton’s divided formulae and Lagrange’s interpolation formulae for unequal intervals

Unit 3 Numerical Integration

3 lecture hours

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

Unit 4 Numerical solution of ODE

3 lecture hours

  • Taylor’s series method
  • Euler methods and Runge - Kutta methods
  • Statistical Methods

Unit 5 Probability

10 lecture hours

  • Classical & Set theoretic approach
  • Conditional probability
  • Bayes' theorem
  • Probability distribution
  • probability mass function
  • probability density function
  • Poisson distribution
  • Normal distribution

Unit 6 Basic Statistics

7 lecture hours

  • Measures of central tendency
  • Correlation and Regression

Unit 7 Curve fitting

3 lecture hours

  • 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

10 lecture hours

  • 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

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