ApL101
| ApL101 | |
|---|---|
| Applied Mathematics in Engineering Applications | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | |
ApL101 : Applied Mathematics in Engineering Applications
[edit]Ordinary Differential Equation: Second order ODEs, Method of Undetermined Coefficients, Variation of Parameters, Strum-Liouville eigenvalue problem, Difference equation. Partial Differential Equation: Classification of PDEs, Heat, Wave and Laplace Equations, Separation of variables to solve PDEs. Fourier Transform: Fourier sine transform, Fourier cosine Transform, Technique for solving ODEs and PDEs. Probability Theory: Axioms of probability, Conditional probability, Random variable, Uncertainty in engineering system, Discrete and Continuous distributions, Distribution function, Joint probability distribution, Moments, Covariance, Correlation coefficient. Stochastic Processes: Definition of Stochastic process, Stochastic FE model, Stationary process, Markov chain, Poisson process.