MATHEMATICS - I (BSC1101)

label_important 1.1 Sequences

label_important1.2 Infinite series

label_important 1.3 Comparison test

label_important 1.4 Integral test

label_important 1.5 D'Alembert's ratio test

label_important 1.6 Cauchy's root test

label_important 1.7 Alternating series

label_important 1.8 Rolle’s Mean value Theorem

label_important 1.9 Lagrange’s Mean Value Theorem

label_important 1.10 Cauchy’s and Generalized mean value Theorem

label_important 1.11 Taylor & Maclaurin Series

label_important 2.1 Linear Differential Equation

label_important2.2 Bernoulli’s Equation

label_important 2.3 Exact Differential Equations

label_important 2.4 Newton's Law of Cooling

label_important 2.5 Law of Natural Growth and Decay

label_important 2.6 Orthogonal Trajectories

label_important 3.1 Linear Differential Equations of Higher Order

label_important3.2 General solution of f(D)y = e^ax

label_important 3.3 General solution of f(D)y = cos ax or sin ax

label_important 3.4 General solution of f(D)y = x^m

label_important 3.5 General solution of f(D)y = e^ax . f(x)

label_important 3.6 General solution of f(D)y = x^m . f(x)

label_important 3.7 Method of Variation of Parameters

label_important 3.8 Cauchy's Differential Equations

label_important 3.9 Legendre Differential Equations

label_important 3.10 Applications to Electric R-L-C circuits

label_important 4.1 Partial Differentiation

label_important4.2 Euler's Theorems

label_important 4.3 Total Derivatives

label_important 4.4 Jacobian's

label_important 4.5 Functional dependence

label_important 4.6 Taylors Series & Maclaurin Series

label_important 4.7 Maxima & Minima

label_important 4.8 Lagrange's Method

label_important 5.1 Double Integral

label_important5.2 Change of Order of Integration

label_important 5.3 Change of Variables (Double Integral)

label_important 5.4 Triple Integral

label_important 5.5 Change of Variables (Triple Integral)

label_important5.6 Application of Double Integral (Area)

label_important5.7 Application of Triple Integral (Volume)