Sub. Code / Sub. Name: MA6351 Transform and Partial Differential Equations Unit : Applications of Partial Differential Equations Unit Syllabus: Classification of PDE Method of separation of variables - Solutions of one – dimensional wave equation One dimensional equation of heat conduction Steady state – – solution of two dimensional equation of heat conduction (excluding insulated edges). Objective: To know how to apply Fourier series to get the solution of wave and heat equations. Session Teaching Topics to be covered Ref No * Aids 5 Ch.19; – 13 Introduction and Classification LCD/BB of . Pg. 19.1 19.3 – 2 Ch.18; – 14 Method of separation of variables. LCD/BB Pg. 657 658 – Solutions of one dimensional wave equation by method 1 Ch.3; – 15 LCD/BB of separation of variables Pg.3.6 3.8 – Problems on wave equation with the given initial 1 Ch.3; – 16 LCD/BB and boundary conditions Pg.3.10 3.60 – 17 Tutorial class Worksheet LCD/BB Solution of one-dimensional heat equation by 1 Ch.3; – 18 LCD/BB of separation of variables Pg.3.63 3.65 method – Problems on heat equation with the given initial 1 Ch.3; – 19 LCD/BB and boundary conditions Pg.3.65 3.113 – 20 Tutorial class Worksheet LCD/BB Continuous Assessment Test-I Steady state solution of two dimensional equation of 1 Ch.3; – 21 LCD/BB of separation of variables heat conduction by method Pg.3.117 3.119 – 1 Ch.3; – 22 Problems on equation for a finite plate. LCD/BB Pg.3.119 3.163 – 1 Ch.3; – 23 Problems on equation for a semi - infinite plate. LCD/BB Pg.3.119 3.163 – 24 Tutorial class Worksheet LCD/BB Content beyond syllabus covered (if any): Knowledge of heat transfer in circular plate is included. * Session duration: 50 mins
Sub. Code / Sub. Name: MA6351 Transform and Partial Differential Equations Unit : Applications of Partial Differential Equations Unit Syllabus: Classification of PDE – Method of separation of variables - Solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction (excluding insulated edges). Objective: To know how to apply Fourier series to get the solution of wave and heat equations. Session No * Topics to be covered Ref Teaching Aids 13 Introduction and Classification of . 5 – Ch.19; Pg. 19.1 – 19.3 LCD/BB 14 Method of separation of variables. 2 – Ch.18; Pg. 657 – 658 LCD/BB 15 Solutions of one dimensional wave equation by method of separation of variables 1 – Ch.3; Pg.3.6 – 3.8 LCD/BB 16 Problems on wave equation with the given initial and boundary conditions 1 – Ch.3; Pg.3.10 – 3.60 LCD/BB 17 Tutorial class Worksheet LCD/BB 18 Solution of one-dimensional heat equation by method of separation of variables 1 – Ch.3; Pg.3.63 – 3.65 LCD/BB 19 Problems on heat equation with the given initial and boundary conditions 1 – Ch.3; Pg.3.65 – 3.113 LCD/BB 20 Tutorial class Worksheet LCD/BB Continuous Assessment Test-I 21 Steady state solution of two dimensional equation of heat conduction by method of separation of variables 1 – Ch.3; Pg.3.117 – 3.119 LCD/BB 22 Problems on equation for a finite plate. 1 – Ch.3; Pg.3.119 – 3.163 LCD/BB 23 Problems on equation for a semi - infinite plate. 1 – Ch.3; Pg.3.119 – 3.163 LCD/BB 24 Tutorial class Worksheet LCD/BB Content beyond syllabus covered (if any): Knowledge of heat transfer in circular plate is included. * Session duration: 50 mins