MATHEMATICS - I (T101)

label_important 1.1 Radius of curvature in cartesian

label_important1.2 Radius of curvature in parametric

label_important 1.3 Radius of curvature in polar

label_important 1.4 Evolute and Involute

label_important 1.5 Beta Function

label_important 1.6 Gamma Function

label_important 1.7 Relation Between Gamma and Beta Function

label_important2.1 Partial Differentiation

label_important2.2 Total Derivatives

label_important2.3 Derivative of an Implicit Functions

label_important2.4 Change of variable

label_important2.5 Jacobian's

label_important2.6 Taylors Series & Maclaurin Series

label_important2.7 Maxima & Minima

label_important2.8 Lagrange's Method

label_important 3.1 Double Integral

label_important3.2 Change of Order of Integration

label_important3.3 Change of Variables (Double Integral)

label_important 3.4 Triple Integral

label_important 3.5 Change of Variables (Triple Integral)

label_important 3.6 Application of Double Integral (Area)

label_important 3.7 Application of Triple Integral (Volume)

label_important 4.1 Exact Differential Equations

label_important4.2 Linear Differential Equation

label_important4.3 Bernoulli’s Equation

label_important 4.4 Orthogonal trajectories

label_important 4.5 Law of Natural Growth and Decay

label_important 4.6 First Order Non-linear Differential Equations

label_important 4.7 Equations Solvable for y

label_important 4.8 Equations Solvable for x

label_important 4.9 Clairaut's Equation

label_important 5.1 Linear Differential Equations of Higher Order

label_important5.2 General solution of f(D)y = e^ax

label_important5.3 General solution of f(D)y = cos ax or sin ax

label_important5.4 General solution of f(D)y = x^m

label_important 5.5 General solution of f(D)y = e^ax . f(x)

label_important 5.6 General solution of f(D)y = x^m . f(x)

label_important 5.7 Method of Variation of Parameters

label_important 5.8 Simultaneous First Order Linear Equations