EM 201 : Mathematics III
| Course Number : EM 201 | ||||||
|---|---|---|---|---|---|---|
| Course Title : Mathematics III | ||||||
| Credits : 3 | ||||||
| Prerequisites : None | ||||||
| No | Course Content | Time Allocated (hours) | ||||
| L | T | P | A | |||
| 01 | Introduction - Different types of DEs and Solutions | 1 | ||||
| 02 | Modelling with Differential Equations - Solutions methods
| 2 | 1 | |||
| 03 | First Order Differential Equations - Solutions method Variable separable Exact Equations Linear differential equations Reducible forms | 3 | 2 | |||
| 04 | Constant coeffient Linear Differential Equations - Homogeneous Equations;Complements Solutions,First order,Second order and Higher order Equations - Inhomogeneous Equations;Particular Integral,Trial solutions (undermined coefficients),Variation of Parameters D- operators | 4 | 3 | |||
| 05 | Solutions in Series - Introduction
| 2 | 1 | |||
| 06 | Laplace Transformation - Definitions and standard theorems - Inverse Transformation - Using in solving ODEs - Converting PDEs to ODEs | 4 | 2 | |||
| 07 | System of Ordinary Differential Equations - State space representation - Eigenvalue methods | 2 | 1 | |||
| 08 | Numerical Solutions to ODE - Eular Methods - Runge Kutta Methods - Variable(Adaptive)step size algorithms | 2 | 1 | |||
| Probability | ||||||
| 09 | Introduction - Descriptive Statistics | 1 | ||||
| 10 | Concept of Probability - Conditional probability and independence,Random variables,probability functions,Mathematical expectation,Moment Generating functions, Joint Marginal and Conditional distributions. | 7 | 2 | |||
| 11 | Discrete probability distributions - Bernoulli (Point binomial)Distribution,Binomial Distribution,Poisson Distribution,Geometric Distribution,Hyper geometric Distribution,Multinomial Distribution. | |||||
| Total = 30 + 15 = 45 | 30 | 15 | ||||
| Assessment | Percentage Marks | |||||
| Continuous Assessment | 10 | |||||
| Assignment | 10 | |||||
| Course work | ||||||
| Written Examinations | 90 | |||||
| Mid-semester | 30 | |||||
| End-semester | 60 | |||||