Mathematics-3 -

Lesson Plan
Name of the Faculty : Urmila Bhardwaj
Discipline : B.Tech.- ME
Semester : 3^rd
Subject : Mathematics-3
Lesson Plan Duration : 15 weeks (from August, 2018 to November, 2018 )
Work Load (Lecture) per week (in hours) : Lectures - 03 and 01 Tutorial
Weeks	Theory
	Lecture/Tutorial	Topic
	Day	(Including assignment / Test)
1^st	1^st	Definition of Partial Differential Equations, First order partial differential equations
	2^nd	Solutions of first order linear PDEs
	3^rd	Solution to homogenous and linear partial differential equations of second order by complimentary function and particular integral method.
	4th	Test of above three topics
2^nd	1^st	Solution to homogenous and linear partial differential equations of second order by complimentary function and particular integral method.
	2^nd	Solution to non homogenous and linear partial differential equations of second order by complimentary function and particular integral method.
	3^rd	Solution to non homogenous and linear partial differential equations of second order by complimentary function and particular integral method.
	4th
3^rd	1^st	Second-order linear equations and their classification with Initial conditions
	2^nd	Second-order linear equations and their classification with boundary conditions
	3^rd	D'Alembert's solution of the wave equation
	4th	Test of above three topics
4^th	1^st	Duhamel's principle for one dimensional wave equation.
	2^nd	Heat diffusion and vibration problems
	3^rd	Separation of variables method to simple problems in Cartesian coordinates.
	4th	Test of above three topics
5^th	1^st	The Laplacian in plane, cylindrical and spherical polar coordinates
	2^nd	Solutions with Bessel functions and Legendre functions
	3^rd	One dimensional diffusion equation and its solution by separation of variables
	4th	Test of above three topics, Assignment of 1st unit
6^th	1^st	Probability spaces and conditional probability
	2^nd	Independence of events ; Discrete random variables
	3^rd	Independent random variables, the multinomial distribution
	4th	Test of above three topics
7^th	1^st	Poisson approximation to the binomial distribution
	2^nd	Infinite sequences of Bernoulli trials
	3^rd	Sums of independent random variables
	4th	Test of above three topics
8^th	1^st	Expectation of Discrete Random Variables, Moments
	2^nd	Variance of a sum, Correlation coefficient
	3^rd	Chebyshev's Inequality
	4th	Test of above three topics
9^th	1^st	Continuous random variables and their properties
	2^nd	Distribution functions and densities
	3rd	Normal, exponential and gamma densities
	4th	Test of above three topics
10^th	1^st	Bivariate distributions and their properties
	2^nd	Distribution of sums and quotients
	3^rd	Conditional densities, Bayes' rule
	4th	Test of above three topics, Assignment of 2nd unit
11^th	1^st	Basic Statistics
	2^nd	Measures of Central tendency
	3^rd	Moments, skewness and Kurtosis
	4th	Test of above three topics
12^th	1^st	Evaluation of statistical parameters using Binomial distribution
	2^nd	Evaluation of statistical parameters using Poisson distribution
	3^rd	Evaluation of statistical parameters using Normal distribution
	4th	Test of above three topics
13^th	1^st	Rank correlation. Curve fitting by the method of least squares- fitting of straight lines
	2^nd	Second degree parabolas and more general curves
	3^rd	Large sample test for single proportion
	4th	Test of above three topics
14^th	1^st	Difference of proportions
	2^nd	Tests for single mean, difference of means
	3^rd	Difference of standard deviations
	4th	Test of above three topics
15^th	1^st	Test for ratio of variances
	2^nd	Chi-square test for goodness of fit
	3rd	independence of attributes
	3rd	of attributes
	4th	Test of above three topics, Assignment of 3rd unit