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Euler’s Theorem on Homogeneous Functions | State and Prove | SYBSc KBCNMU JALGAON
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#functionoftwovariables
#homogeneousfunctions
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#Calculusofseveralvariables
#functionoftwovariables
CLASS: S.Y.B.Sc Sem.-III
Subject: MTH-301: Calculus of Several Variables
Prepared by:- Prof. Achyut A. chavan
University:-KBCNMU JALGAON
New video from 2024
Description:-
This Playlist is very important for Engineering &
Basic Science Students. This video is very useful
for B.Sc./B.Tech students also preparing NET,
GATE and IIT-JAM Aspirants.
Complete Syllabus Video
MTH -301: Calculus of Several Variables
Unit- 1: Functions of Two and Three Variables
1.1 Limit of Functions Of Two Variables | Example of limit does not exist
Repeated Limits | Iterated Limits | Functions of Two Variables
1.2 Continuity of Functions Of Two Variables
1.3 Partial Derivatives first order
1.4 Differentiability
1.5 Necessary and Sufficient Conditions for Differentiability
1.6 Partial Derivatives of Higher Order
Find Approximate Value Using Differentiation
1.7 Schwarz’s Theorem
1.8 Young’s Theorem.
Unit-2: Jacobian, Composite Functions and Mean Value Theorems
2.1 Jacobian (Only for Two and Three Variable)
2.2 Composite Functions (Chain Rule)
2.3 Homogeneous Functions.
2.4 Euler’s Theorem on Homogeneous Functions.
2.5 Mean Value Theorem for Function of Two Variables.
Unit -3: Taylor’s Theorem and Extreme Values
3.1 Taylor’s Theorem for Function of Two Variables. and
3.2 Maclaurin’s Theorem for Function of Two Variables.
3.3 Absolute and Relative Maxima & Minima.
3.4 Necessary Condition for Extrema.
3.5 Critical Point, Saddle Point.
3.6 Sufficient Condition for Extrema.
Unit -4: Double and Triple Integrals
4.1 Double Integrals by Using Cartesian and Polar Coordinates.
4.2 Change of Order of Integration.
4.3 Area by Double Integral.
4.4 Evaluation of Triple Integral as Repeated Integral.
4.5 Volume by Triple Integral.
Recommended Book:
Mathematical Analysis: S.C.Malik
Do Like & Share this Video with your Friends. If
you are watching for the first time then Subscribe.
Problems & Concepts by A.A.Chavan
Sir will help BSc, Engineering and Basic Science
students to understand following topic of
Mathematics.
#functionoftwovariables
#TwoVariable
#EngineeringMahemaics #BSCMaths #GATE
#IITJAM #CSIRNET
#Calculusofseveralvariables
#functionoftwovariables
#homogeneousfunctions
#eulertheorem
#Calculusofseveralvariables
#functionoftwovariables
CLASS: S.Y.B.Sc Sem.-III
Subject: MTH-301: Calculus of Several Variables
Prepared by:- Prof. Achyut A. chavan
University:-KBCNMU JALGAON
New video from 2024
Description:-
This Playlist is very important for Engineering &
Basic Science Students. This video is very useful
for B.Sc./B.Tech students also preparing NET,
GATE and IIT-JAM Aspirants.
Complete Syllabus Video
MTH -301: Calculus of Several Variables
Unit- 1: Functions of Two and Three Variables
1.1 Limit of Functions Of Two Variables | Example of limit does not exist
Repeated Limits | Iterated Limits | Functions of Two Variables
1.2 Continuity of Functions Of Two Variables
1.3 Partial Derivatives first order
1.4 Differentiability
1.5 Necessary and Sufficient Conditions for Differentiability
1.6 Partial Derivatives of Higher Order
Find Approximate Value Using Differentiation
1.7 Schwarz’s Theorem
1.8 Young’s Theorem.
Unit-2: Jacobian, Composite Functions and Mean Value Theorems
2.1 Jacobian (Only for Two and Three Variable)
2.2 Composite Functions (Chain Rule)
2.3 Homogeneous Functions.
2.4 Euler’s Theorem on Homogeneous Functions.
2.5 Mean Value Theorem for Function of Two Variables.
Unit -3: Taylor’s Theorem and Extreme Values
3.1 Taylor’s Theorem for Function of Two Variables. and
3.2 Maclaurin’s Theorem for Function of Two Variables.
3.3 Absolute and Relative Maxima & Minima.
3.4 Necessary Condition for Extrema.
3.5 Critical Point, Saddle Point.
3.6 Sufficient Condition for Extrema.
Unit -4: Double and Triple Integrals
4.1 Double Integrals by Using Cartesian and Polar Coordinates.
4.2 Change of Order of Integration.
4.3 Area by Double Integral.
4.4 Evaluation of Triple Integral as Repeated Integral.
4.5 Volume by Triple Integral.
Recommended Book:
Mathematical Analysis: S.C.Malik
Do Like & Share this Video with your Friends. If
you are watching for the first time then Subscribe.
Problems & Concepts by A.A.Chavan
Sir will help BSc, Engineering and Basic Science
students to understand following topic of
Mathematics.
#functionoftwovariables
#TwoVariable
#EngineeringMahemaics #BSCMaths #GATE
#IITJAM #CSIRNET
#Calculusofseveralvariables
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