Lesson Plan- Mathematics

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Lesson Plan

Name of the Faculty :Navya Goel
Discipline :B.tech (ME / CS / Civil)
Semester :2ndSem
Subject :Mathematics – II
Course Code :HAS-104C
Lesson Plan Duration :15 weeks (from January, 2018 to April, 2018)

Weeks	Theory
1^st	Lecture	Topic
	Day	(including assignment / test)
	1^st	Introduction of ordinary differential equation
	1^st	Exact differential equation
	2^nd	Equation reducible to exact equation
	2^nd	(by inspection and for homogeneous equation )
	3^rd	Equation reducible to exact equation
	3^rd	(type 3)
	4^th	Equation reducible to exact equation
	4^th	(type 4)
	1^st	Introduction of linear differential equation
2^nd	2^nd	Complementary function of L.D.E.
	3^rd	Particular integral of L.D.E.
	4^th	Particular integral of L.D.E.
	1^st	Method of variation of parameters to find P.I
3^rd	2^nd	Cauchy’s linear equation
	3^rd	Legendre’s linear equation
	4^th	Simultaneous linear equation with constant
	4^th	co-efficient
	1^st	Application of L.D.E. to electric circuit(LC,LCR circuit)
4^th	2^nd	Application of L.D.E. to electric circuit(LC,LCR circuit) : problems
	3^rd	Newton’s Law of cooling and heat flow
	4^th	Orthogonal trajectory
	4^th	Assignment : O.D.E. of first order
	1^st	Test : O.D.E. of first order
5^th	2^nd	Introduction of partial differential Equation
	2^nd	Formation of pde
	3^rd	Solution of pde
	4^th	Lagrange’s linear pde
	1^st	Non linearpde of first order
6^th		a) f(p,q) =0
		b) clairaut equation
	2^nd	Non linearpde of first order
		c) f(z,p,q) =0
		d) f₁(x,p) = f₂(y,q)
	3^rd	Charpit’s method
	4^th	Homogeneous linear pde with constant coefficient
	4^th	Rules to write Complementary function
	1^st	Homogeneous linear pde with constant coefficient
7^th	1^st	Rules to write particular integral
	2^nd	Homogeneous linear pde with constant coefficient
	2^nd	Rules to write particular integral
	3^rd	Homogeneous linear pde with constant coefficient
	3^rd	Rules to write particular integral
	4^th	Application of pde
	4^th	Method of separation of variables
	1^st	Wave equation
8^th	2^nd	Wave equation : problems
	3^rd	One dimentional heat equation
	3^rd	Assignment : P.D.E. and its application
	4^th	Introduction of laplace transform
	4^th	Laplace transform of elementary function and its properties
	1^st	Test : P.D.E. and its application
9^th	2^nd	Inverse laplace transform
	3^rd	Inverse laplace transform : problems
	4^th	Existenence condition of laplace transform
		Transform of derivatives
		Transform of integrals
	1^st	Multiplication by tⁿ
10^th	1^st	Division by t
	2^nd	Evaluation of integral by laplace transform
	3^rd	Convolution theorem
	4^th	Application of L.D.E. to solve boundary value problem with constant coefficient
	1^st	Simultaneous L.D.E with constant coefficient
11^th		Second shifting theorem
		Assignment : Laplace Transform
	2^nd	Concept of sequences
	3^rd	Concept of sequence
	4^th	Test :Laplace Transform
	1^st	Infinite series : concept , convergence and divergence
12^th	1^st	of series
	2^nd	Infinite series : geometric series , convergence
	3^rd	Necessary and sufficient condition for convergence of series
	4^th	Comparison test : concept
	1^st	Comparison test : problems
13^th	2^nd	D’ Alembert’s Ratio test : concept
	3^rd	D’ Alembert’s Ratio test (problems)
	4^th	Cauchy’s Root test : concept
	1^st	Cauchy’s Root test: problems
14^th	2^nd	Raabe’s test, Logarithmic test , Gauss test : concept
	3^rd	Raabe’s test, Logarithmic test , Gauss test : problems
	4^th	Cauchy’s integral test
	1^st	Alternating series
15^th	2^nd	Absolute convergence and conditional convergence
	3^rd	Absolute convergence and conditional convergence : problems
	3^rd	Assignment : infinite series
	4^th	Test : infinite series

Lesson Plan- Mathematics – II

Lesson Plan

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