Mathematics-3 -

Lesson Plan
Name of the Faculty : Urmila Bhardwaj
Discipline : B.Tech. (CSE)
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

Weeks	Theory
	Lecture	Topic
	Day	(including assignment / test)
1^st	1^st	SEQUENCES AND SERIES: Convergence of sequence and series
	2^nd	Tests for convergence
	3^rd	Power series
2^nd	1^st	Taylor's series
	2^nd	Series of exponential functions
	3^rd	Series of trigonometric functions
3^rd	1^st	Continued Series of trigonometric functions
	2^nd	Series of logarithmic functions/Assignment of sequences and series
	3^rd	MULTIVARIABLE CALCULUS (DIFFERENTIATION):Limit and continuity of function
4^th	1^st	Test of sequences and series
	2^nd	Partial derivatives
	3^rd	directional derivatives
5^th	1^st	total derivative
	2^nd	Tangent plane and normal line
	3^rd	Maxima, minima and saddle points
6^th	1^st	Method of Lagrange multipliers
	2^nd	Gradient, curl and divergence/Assignment of MULTIVARIABLE CALCULUS (DIFFERENTIATION)
	3^rd	MULTIVARIABLE CALCULUS (INTEGRATION) Multiple Integration: Double Integrals
7^th	1^st	Triple integrals (Cartesian and polar)
	2^nd	Test of MULTIVARIABLE CALCULUS (DIFFERENTIATION)
	3^rd	change of order of integration in double integrals
8^th	1^st	Change of variables (Cartesian to polar)
	2^nd	Green's theorem
	3^rd	Stoke's theorem
9^th	1^st	Gauss Divergence theorem
	2^nd	orthogonal curvilinear coordinates
	3^rd	Simple applications involving cubes, sphere and rectangular parallelepipeds/ Assignment of MULTIVARIABLE CALCULUS (INTEGRATION)
10^th	1^st	FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS:
	2^nd	Solution of Exact and linear equations
	3^rd	Test of MULTIVARIABLE CALCULUS (INTEGRATION)
11^th	1^st	Solution of Bernoulli’s equations
	2^nd	Solution of Euler’s equations
	3^rd	Solution of Equations not of first degree
12^th	1^st	Equations solvable for p
	2^nd	Equations solvable for y
	3^rd	Equations solvable for x and Clairaut’s type/Assignment of FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
13^th	1^st	ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDERS: Definitions, basics and formulas used
	2^nd	Second order linear differential equations with variable Coefficients
	3^rd	Method of variation of parameters
14^th	1^st	Test of FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
	2^nd	Cauchy-Euler equation
	3^rd	Power series
15^th	1^st	solution of Legendre polynomials
	2^nd	Bessel functions of the first kind and their properties
	3^rd	Test and Assignment of ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDERS