Single Variable And Multivariable Calculus

Single Variable and multivariable calculus are very powerful tools when used by an Engineer especially an ECE. Imagine calculus as one of the weapons that a soldier carries with him.






Single Variable Calculus:

Single Variable Calculus deals with the real number system,set theory,series,infinite series,power series.A theorem of single variable calculus widely used by an engineer is Taylor's Theorem and it's expansion the McLauren Theorem.Another concept been discussed in Single Variable Calculus and it is very important is differantiation ant its properties.Also indefinite integrals ,Riemann integral and their application are also been analysied.In this course it is also done a small introduction in first order differential equations,and second order linear differential equations with constant coefficients.

Multivariable Calculus:

Multivariable Calculus deals with multivariable functions ,sequences,limits and continuity.It is also introduced the method of finding the derrivatives of vector functions of one variable.Partial differantion implicit differentiation,total differential and linear approximation are discussed in depth.Also the Chain Rule,the derrivatives and differentials of higher order,directional derrivatives are presented here.In single variable calculus the Talyor and McLauren theorem was presented.In Multivariable Calculus those theorems are presented for multivariable functions.Finaly Multivariable Calculus deals with Integrated calculus of several variables which includes : Double,Triple and Multiple integrals,change of variables and integral in several coordinates.