Mathematics-1 -

Lesson Plan
Name of the Faculty : Navya Goel
Discipline : B.Tech.- CSE
Semester : 1^st
Subject : Mathematics- 1
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	Evolutes and involutes
	2^nd	Evolutes and involutes
	3^rd	Evaluation of definite integrals
	4th	Revision
2^nd	1^st	Evaluation of improper integrals
	2^nd	Evaluation of improper integrals
	3^rd	Beta and Gamma functions and their properties
	4th	Test
3^rd	1^st	Applications of definite integrals to evaluate surface areas
	2^nd	Applications of definite integrals to evaluate volumes of revolutions / Assignment
	3^rd	Revision
	4th	Rolle’s theorem, Mean value theorems
4^th	1^st	Rolle’s theorem, Mean value theorems
	2^nd	Taylor’s and Maclaurin theorems with remainders
	3^rd	Taylor’s and Maclaurin theorems with remainders
	4th	Test
5^th	1^st	Indeterminate forms and L'Hospital's rule
	2^nd	Maxima and minima
	3^rd	Maxima and minima / Assignment
	4th	Revision
6^th	1^st	Introduction of Matrices
	2^nd	Matrices : addition and scalar multiplication, matrix multiplication
	3^rd	Linear systems of equations, linear Independence
	4th	Test
7^th	1^st	Rank of a matrix
	2^nd	Determinants, Cramer’s Rule
	3^rd	Cramer’s Rule, inverse of a matrix
	4th	Revision
8^th	1^st	Gauss elimination
	2^nd	Gauss-Jordan elimination
	3^rd	Gauss elimination and Gauss-Jordan elimination / Assignment
	4th	Test
9^th	1^st	Introduction of Vector Space
	2^nd	linear dependence of vectors, basis
	3rd	basis, dimension
	4th	Revision
10^th	1^st	Linear transformations (maps), range and kernel of a linear map
	2^nd	Rank and nullity
	3^rd	Inverse of a linear transformation, rank- nullity theorem
	4th	Revision
11^th	1^st	composition of linear maps, Matrix associated with a linear map
	2^nd	Matrix associated with a linear map / Assignment
	3^rd	Revision
	4th	Test
12^th	1^st	Eigen values
	2^nd	eigen vectors
	3^rd	Symmetric, Skew-symmetric Matrix
	4th	Revision
13^th	1^st	Symmetric, Skew-symmetric, and orthogonal Matrices
	2^nd	Eigen bases
	3^rd	Eigen bases
	4th	Test
14^th	1^st	Diagonalization
	2^nd	Diagonalization
	3^rd	Inner product spaces
	4th	Revision
15^th	1^st	Inner product spaces
	2^nd	orthogonalization
	3rd	Gram-Schmidt orthogonalization / Assigenment
	4th	Test