Mathematics - I (3110014)

label_important 1.1 Indeterminate Forms (L Hospital)

label_important1.2 Improper Integrals

label_important 1.3 Beta Function

label_important 1.4 Gamma Function

label_important 1.5 Relation Between Gamma and Beta Function

label_important 2.1 Sequences

label_important2.2 Infinite series

label_important 2.3 Comparison test

label_important 2.4 Integral test

label_important 2.5 D'Alembert's ratio test

label_important 2.6 Raabe's test

label_important 2.7 Logarithmic test

label_important 2.8 Cauchy's root test

label_important 2.9 Gauss's test

label_important 2.10 Alternatiing series

label_important 2.11 Absolute and and conditional convergence

label_important 2.12 Taylors Series & Maclaurin Series

label_important 4.1 Function of two or more variables (Limit & Continuity)

label_important4.2 Partial Differentiation

label_important 4.3 Total Derivatives (Chain Rule)

label_important 4.4 Derivative of an Implicit Functions

label_important 4.5 Gradient

label_important 4.6 Directional derivatives

label_important 4.7 Tangent and normal to a surface

label_important 4.8 Maxima & Minima

label_important 4.9 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 Application of Double Integral (Area)

label_important 5.5 Triple Integral

label_important 5.6 Change of Variables (Triple Integral)

label_important 5.7 Application of Triple Integral (Volume)

label_important 6.1 Gradient

label_important6.2 Directional derivatives

label_important 6.3 Curl & Divergence

label_important6.4 Line Integral

label_important 6.5 Surface Integral

label_important 6.6 Volume Integral

label_important 6.7 Greens Theorem

label_important 6.8 Gauss divergence Theorem

label_important 6.9 Stokes Theorem

label_important 6.10 Cayley Hamilton Theorem

label_important 6.11 Diagonalisation of matrix (Orthogonal Transformation)