NUMERICAL METHODS & TRANSFORM CALCULUS Syllabus — Government College…
Full syllabus, topics and curated resources for NUMERICAL METHODS & TRANSFORM CALCULUS (Government College of Engineering and Technology, Jammu).
Numerical methods for interpolation, equations, integration and differential equations along with Laplace and Fourier transforms
- Subject code: BST8301
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: EE
- Semester: 3
NUMERICAL METHODS & TRANSFORM CALCULUS syllabus
Unit 1: Numerical Methods
- Finite and divided difference, Interpolation using Newton's and Lagrange's formulae
- Solution of polynomial and transcendental equations - Newton-Raphson method, Iteration method and Regula-Falsi method
- Numerical integration: Trapezoidal rule and Simpson's 1/3rd rule
Unit 2: Numerical Methods
- Taylor's method, Picard's method
- Euler and modified Euler's methods
- Runge Kutta method of fourth order for solving first and secondorder equations
Unit 3: Laplace Transform
- Laplace Transform
- Properties of Laplace Transform: Linear property, change of scale property, first shifting property, second shifting property
- Multiplication & division by t property, convolution property
- Laplace transform of periodic functions, Laplace transform of derivatives
- Finding inverse Laplace transform by different methods
- Evaluation of integrals by Laplace transform
- solving differential equations of higher order by Laplace Transform