Euler’s Theorem on Homogeneous Functions | State and Prove | SYBSc KBCNMU JALGAON

preview_player
Показать описание
#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
Рекомендации по теме
Комментарии
Автор

Thank you so much sir
Fir Fakt aata eulers Theorem aani homogenous functions che example karvun taka
Paas houn jau

fuego
Автор

Imp MCQ ani short question dya sir plz 21-oct pepar ahe

AayushBhamare
Автор

Sir last year question paper solve sir plzz

Payalzende-xc
Автор

Sir sy bsc ch second book pan shikhava na groups code val b part

udayyt
Автор

Sir peper imp important questions konte aahe techa video bnva na 21 la paper aahe sir please 🙂 DDN bhole college la aahe sir paper

Thecreative