Calculus for Engineers (MAT1011)

label_important 1.1 Maxima and Minima of functions of one variable

label_important1.2 Beta Function

label_important 1.3 Gamma Function

label_important 1.4 Relation Between Gamma and Beta Function

label_important 2.1 Laplace Transform

label_important2.2 Laplace Transform of Some Standard Functions

label_important 2.3 First, Second Shifting Theorem and Change of Scale Property

label_important 2.4 Transforms of Derivatives

label_important 2.5 Transforms of Integrals

label_important 2.6 Laplace Transform of Periodic Functions

label_important 2.7 Laplace Transform of Unit Step and Unit Impulse Functions

label_important2.8 Inverse Laplace Transform

label_important 2.9 First, Second Shifting Theorem and Change of Scale of Property

label_important 2.10 Inverse Laplace Transform of Derivatives

label_important 2.11 Multiplication by Power of ‘s’

label_important3.1 Function of two or more variables (Limit & Continuity)

label_important3.2 Partial Differentiation

label_important3.3 Total Derivatives

label_important3.4 Jacobian's

label_important 4.1 Taylors Series & Maclaurin Series

label_important4.2 Maxima & Minima

label_important4.3 Lagrange's Method

label_important 5.1 Double Integral

label_important5.2 Change of Order of Integration

label_important5.3 Change of Variables (Double Integral)

label_important5.4 Application of Double Integral (Area)

label_important5.5 Triple Integral

label_important5.6 Change of Variables (Triple Integral)

label_important5.7 Application of Triple Integral (Volume)

label_important 6.1 Gradient

label_important6.2 Directional derivatives

label_important6.3 Curl & Divergence

label_important6.4 Solenoidal & Irrotational

label_important 7.1 Line Integral

label_important7.2 Surface Integral

label_important7.3 Volume Integral

label_important7.4 Greens Theorem

label_important7.5 Gauss divergence Theorem

label_important7.6 Stokes Theorem