This course will facilitate to become aware of applications of multivariable calculus tools in physics, economics, optimization, and understanding the architecture of curves and surfaces in plane and space, etc.
Sc, B. Tech CSE, M. Tech branch to enhance more knowledge about the subject and to score better marks in the exam. Calculus of Functions of Several Variables: 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.
Extrema of Functions of Two Variables and Properties of Vector Field: Extrema of functions of two variables, Method of Lagrange multipliers, Constrained optimization problems; Definition of vector field, Divergence and curl.
Double and Triple Integrals: Double integration over rectangular and nonrectangular regions, Double integrals in polar co-ordinates, Triple integral over a parallelopiped and solid regions, Volume by triple integrals, Triple integration in cylindrical and spherical coordinates, Change of variables in double and triple integrals. Calculus and Analytic Geometry. Addison-Wesley, ISBN: Don't show me this again.
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