Mathematics-1 -

Lesson Plan
Name of the Faculty : Navya Goel
Discipline : B.Tech.- ME
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	Convergence of sequence and series
	2^nd	tests for convergence
	3^rd	tests for convergence
	4th	Test
7^th	1^st	power series, Taylor's series
	2^nd	Series for exponential, trigonometric and logarithmic functions
	3^rd	Series for exponential, trigonometric and logarithmic functions
	4th	Revision
8^th	1^st	Fourier series: Half range sine and cosine series
	2^nd	Fourier series: Half range sine and cosine series
	3^rd	Fourier series: Half range sine and cosine series, Parseval’s theorem / Assignment
	4th	Test
9^th	1^st	Limit, continuity
	2^nd	Limit, continuity and partial derivatives
	3rd	partial derivatives, directional derivatives
	4th	Revision
10^th	1^st	total derivative , Tangent plane
	2^nd	Tangent plane and normal line
	3^rd	Maxima, minima and saddle points
	4th	Revision
11^th	1^st	Method of Lagrange multipliers
	2^nd	Gradient, curl and divergence
	3^rd	Gradient, curl and divergence / Assignment
	4th	Test
12^th	1^st	Rank of a matrix
	2^nd	inverse of a matrix
	3^rd	rank- nullity theorem
	4th	Revision
13^th	1^st	rank- nullity theorem
	2^nd	system of linear Equations
	3^rd	Symmetric, Skew-symmetric, and orthogonal Matrices
	4th	Test
14^th	1^st	Determinants
	2^nd	Eigen values
	3^rd	eigen vectors
	4th	Revision
15^th	1^st	Diagonalization
	2^nd	Diagonalization
	3rd	Cayley Hamilton Theorem , Orthogonal transformation
	4th	Orthogonal Transformation / Assignment