Numerical Methods and Statistical Analysis
Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.
English Book & Chapters
English Book Coming Soon
We are working hard to add this material. Stay tuned for updates!
Follow on Instagram for UpdatesGTU Previous Year Papers
Papers Coming Soon
We are working hard to add this material. Stay tuned for updates!
Follow on Instagram for UpdatesNumerical Methods and Statistical Analysis Syllabus — Unit-wise Content
The official GTU curriculum for Numerical Methods and Statistical Analysis (subject code ME01069031) as prescribed for C(E · Semester 1 divides the course into 9 units, covering 42 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 (ME01069031)Unit 1 Motivation, Data and Decisions, Measurement Uncertainties, Random
- Various Statistical Measures
Unit 2 Basics of Probability
- Sample Space
- Axioms of Probability
- Sample space with equality likely outcomes
- Conditional probability
- independent events
- Total probability rule
- multiplication rule
- Baye's theorem
Unit 3 Random Variable
- cumulative distribution function
- Type of random variables
- probability mass function
- probability density function
- Distribution of function of random variable
Unit 4 Random number generation, Continuous/Discrete random variables, 04 10
- Program Name: Master of Engineering Level: PG Branch: Civil Engineering (Transportation Engineering) Course / Subject Code: ME01069031 Course / Subject Name: Numerical Methods and Statistical Analysis moment generating functions
- Multiple regressions
- Sample statistics
- empirical distributions
- Goodness of fit, and sampling from normal populations
Unit 5 Bernoulli distribution; Binomial distribution; Poisson Distribution;
- Uniform distribution
- Exponential distribution
- Gamma distribution
- Normal distribution
- Conditional distribution
- Chi-square test
- t-test and F-test
- Interpolation And Curve Fitting
Unit 7 Parameter estimation, moment method, maximum likely hood,
- interval estimation
Unit 8 Numerical Methods
- Basic: Summary of basic concepts from Linear algebra and numerical analysis
- Operation counts
- Matrix Norms
- Type of Errors in Numerical computation
Unit 9 Numerical Integration, Gaussian Quadrature, Romberg Integration,
- Adaptive Quadrature
Unit 10 Matrix Factorization and Linear System, Cholesky Factorization, QR
- factorization by House holder matrices Lu- factorization and Gaussian elimination
- partial pivoting
- error Analysis (statement of result) soling triangular system by substitution
- solving full systems by factorization
- Lu-factorization for banded and sparse matrices
- storage schemes
- Iterative Methods
- Gauss - Seidal and SOR Iterations
- Conjugate gradient method
Study on Android App:
