Mathematics-I for Mechanical Engineering stream (22MATM11)

label_important 1.1 Polar curves

label_important1.2 Pedal equation of polar curves

label_important 1.3 Derivatives of arcs

label_important 1.4 Radius of curvature in cartesian

label_important 1.5 Radius of curvature in parametric

label_important 1.6 Radius of curvature in polar

label_important 1.7 Pedal forms

label_important 1.8 Centre of Curvature

label_important 1.9 Evolute and Involute

label_important 2.1 Taylor & Maclaurin Series

label_important2.2 Indeterminate Forms (L Hospital)

label_important 2.3 Partial Differentiation

label_important 2.4 Total Derivatives

label_important 2.5 Change of variable (Composite Function)

label_important 2.6 Jacobian's

label_important 2.7 Maxima & Minima

label_important 2.8 Euler's Theorems

label_important 2.9 Lagrange's Method

label_important 3.1 Linear Differential Equation

label_important3.2 Bernoulli’s Equation

label_important 3.3 Exact Differential Equations

label_important 3.4 Orthogonal Trajectories

label_important 3.5 Newton's Law of Cooling

label_important 3.6 First Order Non-linear Differential Equations

label_important 3.7 Clairaut's Equation

label_important 3.8 Equations Solvable for y

label_important 3.9 Equations Solvable for x

label_important 4.1 Linear Differential Equations of Higher Order

label_important4.2 General solution of f(D)y = e^ax

label_important 4.3 General solution of f(D)y = cos ax or sin ax

label_important 4.4 General solution of f(D)y = x^m

label_important 4.5 General solution of f(D)y = e^ax . f(x)

label_important 4.6 General solution of f(D)y = x^m . f(x)

label_important 4.7 Method of Variation of Parameters

label_important 4.8 Cauchy's Differential Equations

label_important 4.9 Legendre Differential Equations

label_important 5.1 Matrix Introduction

label_important5.2 Rank of a matrix (Echelon form)

label_important 5.3 Rank of a matrix (Normal form or Canonical form)

label_important 5.4 Consistency of Non-Homogenous Linear Equations

label_important 5.5 Consistency of Homogenous Linear Equations

label_important 5.6 Gauss – Elimination method

label_important 5.7 Gauss – Jordan method

label_important 5.8 Gauss - Seidal Method

label_important 5.9 Characteristic Equation

label_important 5.10 Eigen values and Eigen vectors

label_important 5.11 Properties of Eigen values and Eigen vectors

label_important 5.12 Guass Jacobi's Method

label_important 5.13 Cayley Hamilton Theorem