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Calculus-That Will Break Your Fear
Give Me 10 Hours, I will Make You Master In Differential, Integral and Vector Calculus
This Course Includes
udemy
4.6 (3 reviews )
10h 12m 
english
Online - Self Paced
professional certificate
Udemy
About Calculus-That Will Break Your Fear
This course has detailed explanation of following Topics:
Partial Derivatives :
Partial and Total Derivatives ( Chain rule), Homogeneous functions, Euler's Theorem, Maxima and Minima for a function of One variable, Two variables and Three variables.
Mean value theorems :
Continuity of a function at a particular value and in a closed interval, Differentiability of a function in an open interval, Roll's theorem, Legrange's Mean value theorem, Cauchy's Mean value theorem , Taylor's theorem ( Generalized Mean value theorem.
Definite and Improper Definite Integrals:
Properties of Definite Integrals, Convergence and Divergence, Comparison Test, P-Series Test, Integral test, Gamma and Beta functions.
Limits :
Limits definition, Indeterminate forms of Limits
.
Vector Calculus :
Basics of Vector Algebra, Dot ( Scalar ) Product , Cross ( Vector )Product , Scalar Triple Product, Vector Triple Product, Application of Partial Derivatives on Vectors :Gradient, Directional Derivative( d,d ), Unit normal, Divergence, Solenoidal vector, Curl or Rotation, Irrotational or Conservative Force Field.
Multiple Integrals :
Line integrals, Work done, Surface Integrals, Double Integrals evaluation Techniques, Volume Integrals, Triple Integrals evaluation techniques.
Vector Integral Theorems :
Green's Theorem, Stoke's Theorem and Gauss - Divergence Theorem
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 Show moreShow less.