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Concept of Vector Point Function & Vector Differentiation By GP Sir

Gradient of a Scalar Field & Directional Derivative | Normal Vector

Divergence and Curl of vector field | Irrotational & Solenoidal vector

Vector Calculus - Line Integrals of Vector Field | Example & Solution

Vector Calculus- Application of Line Integral |Scalar Potential | Work Done By Force |

Vector Calculus - Green's Theorem | Example and Solution by GP Sir

Vector Calculus - Stoke's Theorem | Example and Solution by GP Sir

Vector Calculus - Gauss Divergence Theorem | Example and Solution

Maxima And Minima of Two Variables Function | Examples And Solution

Maxima and Minima - Langrange's Method of Undetermined Multipliers

Partial Differentiation Example And Solution | Multivariable Calculus

Partial Differentiation - Euler's Theorem for Homogeneous Function

Partial Differentiation - Total Differential Coefficient Problem & Solution

Jacobian, Jacobian Transformation, Jacobian Method, Differential Calculus

Jacobian, Jacobian Properties,Jacobian Example, Differential Calculus

Jacobian, Jacobian of Implicit Function, Jacobian Example Par-III

Envelope and Evolutes, Envelope Math, Differential Calculus By GP Sir

Envelope and Evolutes, Evolute, Evolute of Curve Differential Calculus

First Order Partial Differential Equation -Solution of Lagrange Form

Non Linear Partial Differential Equations Standard Form-I By GP Sir

Non Linear Partial Differential Equations-Standard Form-II By GP Sir

Non Linear Partial Differential Equations-Standard Form-III By GP Sir

Non Linear Partial Differential Equation Standard form-IV | Clairaut's Form

Charpit's Method For Non Linear Partial Differential Equation By GP

Partial Differential Equation | Homogeneous PDE | CF & PI | Part -I

Partial Differential Equation | Homogeneous PDE | CF & PI | Part-II

Partial Differential Equation | Homogeneous PDE | CF & PI | Part-III

Partial Differential Equation | Homogeneous PDE | CF & PI | Part-IV

Partial Differential Equation | General Method To Find PI | Part-V

Partial Differential Equation | Non Homogeneous PDE | Rules of CF & PI

Partial Differential Equation | Non Homogeneous PDE | Rules of PI

Complex Analysis | Analytic Function | Cauchy Riemann Equation BY GP

Complex Analysis - Short Trick To Find Harmonic Conjugate By GP Sir

Complex Analysis - Analytic Function | Milne Thomson Method | Example & Solutions

Complex Analysis - Bilinear transformation | Conformal Mappings By GP

Complex Analysis - Complex Integration Line Integral Example & Solution

Cauchy's Integral Formula For Analytic Function | Example & Solution

Complex Analysis - Cauchy's Residue Theorem & Its Application by GP

Complex Analysis- Contour Integration | Application of Residue Theorem

Complex Analysis - Contour integration | Evaluation of Improper Integrals

Volume of Solids of Revolution | Cartesian & Parametric Form BY GP Sir

Surface Area of Solids of Revolution | Cartesian & Parametric Form

Double Integral & Area By Double Integration | Multiple Integral

Double Integration - Change of Order of Integration | Cartesian & Polar

Triple Integral | Integral Calculus | Multivariable Calculus | GP Sir

Triple Integral | Integral Calculus | Multivariable Calculus | Volume By Triple Integral

Triple Integral | Dirichlet Theorem | Integral Calculus | Multivariable Calculus

Taylor Series | Taylor Series Expansion | For Function Of Two Variable | Part-I

Taylor Series | Taylor Series Expansion | For Function Of Two Variable | Part-II

Limit of a function | Two Variable Function | Epsilon Delta definition of Limit | Examples

Limit of a function | Two Variable Function | Examples & Solution | Part-II

Continuity of a Function | Two Variable Function | Multivariable Calculus

Partial Derivative | Function Of Two Variable | Examples By Limit Definition

Differentiability | Two Variable Function | Multivariable Calculus

Leibnitz Rule | Differentiation Under The Integral Sign | PYQs Of IIT-JAM & GATE

Calculus | Important formulae | Limit Continuity And Differentiability

Calculus | Mean Value Theorem | Important formulae | Rolles, Lagrange & Cauchy

Calculus | Taylor Series | Maclaurin Series | Important formulae

Differentiability | Function Of Several Variable | Condition For Differentiability

Description:

Dive into an extensive 16-hour course on multivariable calculus taught by Dr. Gajendra Purohit. Explore vector calculus, including vector point functions, differentiation, gradient, divergence, and curl. Learn about line integrals, Green's theorem, Stoke's theorem, and Gauss divergence theorem. Study maxima and minima of multivariable functions, partial differentiation, and Jacobian transformations. Delve into partial differential equations, covering various forms and solution methods. Investigate complex analysis, including analytic functions, Cauchy-Riemann equations, and contour integration. Master techniques for calculating volumes and surface areas of solids of revolution, as well as multiple integrals. Examine Taylor series expansions for multivariable functions, limits, continuity, and differentiability. Gain a comprehensive understanding of advanced calculus concepts through numerous examples, solutions, and important theorems.

Multivariable Calculus

Dr. Gajendra Purohit

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#Mathematics #Calculus #Multivariable Calculus #Taylor Series #Vector Calculus #Complex Analysis #Vector Functions #Differential Equations #Partial Differential Equations