Calculus-That Will Break Your Fear

Give Me 10 Hours, I will Make You Master In Differential, Integral and Vector Calculus

4.83 (3 reviews)

Udemy

platform

English

language

Math

What you will learn

Total Derivatives using Chain Rule

Homogenous function

Euler's theorem

Maxima and Minima for a function of one variable, two variables and three variables

Continuity of a function at a particular value and in a Closed Interval

Differentiability of a function in an Open Interval

Mean Value Theorems :

Roll's Theorem

Legrange's Mean Value Theorem

Cauchy's Mean Value Theorem

Taylor's Theorem ( Generalised Mean Value Theorem )

Definite Integrals and Properties of definite integrals

Improper Definite Integrals, Convergence and Divergence

Comparison Test, P-Series Test and Integral Test

Gamma functions

Beta functions

Applications :

Areas

Length of the arc of a curve

Volume generated by revolving the areas formed about X-Axis and about Y-Axis

Limits

VECTOR CALCULUS :

Basic Vector Algebra : Dot Product ( Scalor Product ), Cross Product ( Vector Product ), Scalor Triple Product, Vector Triple Product

Gradient, Directional derivative (d.d), Unit Normal

Divergence, Solenoidal Vector

Curl or Rotation , Irrotational or Conservative Force Field

Line Integrals, Work Done

Surface Integrals : Double Integrals evaluation techniques, Change of order of integration

Calculus-That Will Break Your Fear

What you will learn

Total Derivatives using Chain Rule

Homogenous function

Euler's theorem

Maxima and Minima for a function of one variable, two variables and three variables

Continuity of a function at a particular value and in a Closed Interval

Differentiability of a function in an Open Interval

Mean Value Theorems :

Roll's Theorem

Legrange's Mean Value Theorem

Cauchy's Mean Value Theorem

Taylor's Theorem ( Generalised Mean Value Theorem )

Definite Integrals and Properties of definite integrals

Improper Definite Integrals, Convergence and Divergence

Comparison Test, P-Series Test and Integral Test

Gamma functions

Beta functions

Applications :

Areas

Length of the arc of a curve

Volume generated by revolving the areas formed about X-Axis and about Y-Axis

Limits

VECTOR CALCULUS :

Basic Vector Algebra : Dot Product ( Scalor Product ), Cross Product ( Vector Product ), Scalor Triple Product, Vector Triple Product

Gradient, Directional derivative (d.d), Unit Normal

Divergence, Solenoidal Vector

Curl or Rotation , Irrotational or Conservative Force Field

Line Integrals, Work Done

Surface Integrals : Double Integrals evaluation techniques, Change of order of integration

Volume Integrals, Triple integrals evaluation techniques

Vector Integral Theorems :

Green's Theorem

Stoke's Theorem

Guass - Divergence Theorem