PROBABILITY & NUMERICAL METHODS Syllabus — Government College of Engi…
Full syllabus, topics and curated resources for PROBABILITY & NUMERICAL METHODS (Government College of Engineering and Technology, Jammu).
Probability distributions, random variables, finite differences, interpolation, numerical integration and numerical methods for solving algebraic, transcendental and differential equations
- Subject code: BST8402
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: ME
- Semester: 4
PROBABILITY & NUMERICAL METHODS syllabus
Unit 1: PROBABILITY
- Random variable and its types
- probability mass function and probability density function
- distribution function
- Bernoulli distribution
- Expectation and moment generating function of Discrete Random variables
- Binomial distribution, its mean, variance and moment generating function
- mode of Binomial Distribution
- Poisson distribution, its mean, variance and moment generating function
- Poisson distribution as a limiting case of Binomial distribution
Unit 2: NUMERICAL METHODS
- Finite and divided difference
- Interpolation using Newton's and Lagrange's formulae
- Numerical integration: Trapezoidal rule and Simpson's 1/3rd rule
- Solution of polynomial and transcendental equations - Newton-Raphson method
- Iteration method
- Regula-Falsi method
- Taylor's method
- Picard's method
- Euler and modified Euler's methods
- Runge Kutta method of fourth order for solving first and second order equations