Numerical Methods and Statistical Analysis
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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 2711304) as prescribed for C(EA · Semester 1 divides the course into 9 units, covering 28 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 (2711304)Unit 1 Motivation, Data and Decisions, Measurement Uncertainties, Random
- Various Statistical Measures. 3 7
Unit 2 Basic Probability, Sample Space, Events, Axioms of Probability,
- Sample space with equality likely outcomes
- Conditional probability
- Independent events
Unit 3 Random number generation. Sample statistics, empirical distributions,
- goodness of fit, and sampling from normal populations. 4 9
Unit 4 Random Variables, Continuous/Discrete random variables, exception,
- conditional distributions
- moment generating functions
- Multiple regressions
Unit 5 Distributions, Bernoulli, Binomial, Poisson, Uniform, Normal,
- Chi square test
- t-test and F-test
- Interpolation And Curve Fitting
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. 4 9
Unit 10 Matrix Factorization and Linear System
- Cholesky Factorization
- QR factorization by House holder matrices Lufactorization 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
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