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## Course Objectives

To understand the extension of the studies of single variable differential and integral calculus to functions of two or more independent variables. Also, the emphasis will be on the use of Computer Algebra Systems by which these concepts may be analyzed and visualized to have a better understanding. Hence, Join The Best B.Sc Maths Tuition Class In Noida.

## Course Learning Outcomes: This course will enable the students to learn:

i) The conceptual variations when advancing in calculus from one variable to
multivariable discussions.
ii) Inter-relationship amongst the line integral, double and triple integral formulations.
iii) Applications of multi variable calculus tools in physics, economics, optimization, and understanding the architecture of curves and surfaces in plane and space etc.

## Calculus of Functions of Several Variables Tuition

Functions of several variables, Level curves and surfaces, Limits and continuity, Partial differentiation, Higher order partial derivative, Tangent planes, Total differential and differentiability, Chain rule, Directional derivatives, The gradient, Maximal and normal property of the gradient, Tangent planes and normal lines. Hence, Join The Best Calculus Of Function Of Several Variables Tuition In Noida.

## Extrema of Functions of Two Variables and Properties of Vector Field Tuition

Extrema of functions of two variables, Method of Lagrange multipliers, Constrained optimization problems; Definition of vector field, Divergence and curl. Hence, Join The Best Calculus Tuition In Noida.

## Double and Triple Integrals Tuition In Noida

Double integration over rectangular and nonrectangular regions, Double integrals in polar coordinates, Triple integral over a parallelepiped and solid regions, Volume by triple integrals, triple integration in cylindrical and spherical coordinates, Change of variables in double and triple integrals. Hence, Join The Best Double And Triple Integrals Tuition In Noida.

## Green’s, Stokes’ and Gauss Divergence Theorem  Tuition

Line integrals, Applications of line integrals: Mass and Work, Fundamental theorem for line integrals, Conservative vector fields, Green’s theorem, Area as a line integral; Surface integrals, Stokes’ theorem, The Gauss divergence theorem. Hence, Join The Best Online Math Tuition.

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