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Multivariable Calculus

Lecture 01: Functions of several variables

Lecture 02: Limits for multivariable functions-I

Lecture 03: Limits for multivariable functions-II

Lecture 04: Continuity of multivariable functions

Lecture 05: Partial Derivatives-I

Lecture 06: Partial Derivatives-II

Lecture 07: Differentiability-I

Lecture 08: Differentiability-II

Lecture 09: Chain rule-I

Lecture 10: Chain rule-II

Lecture 11: Change of variables

Lecture 12: Euler’s theorem for homogeneous functions

Lecture 13: Tangent planes and Normal lines

Lecture 14: Extreme values-I

Lecture 15: Extreme values-II

Lecture 16: Lagrange multipliers

Lecture 17: Taylor’s theorem

Lecture 18: Error approximation

Lecture 19: Polar-curves

Lecture 20: Multiple Integrals

Lecture 21-Change of order of Integration

Lecture 22-Change of Variables in Multiple Integral

Lecture 23-Introduction to Gamma Function

Lecture 24

Lecture 25

Lecture 26

Lecture 27

Lecture 28

Lecture 29

Lecture 30

Lecture 31

Lecture 32

Lecture 33

Lecture 34

Lecture 35

Lecture 36

Lecture 37

Lecture 38

Lecture 39

Lecture 40

Description:

INTENDED AUDIENCE: UG & PG students COURSE OUTLINE: This course is a basic course offered to UG and PG students of Engineering/Science background. It contains various topics related to the calculus of the functions of two or more variables. In particular, this course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.

Multivariable Calculus

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#Mathematics #Calculus #Multivariable Calculus #Chain Rule #Partial Derivatives #Differentiability