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Unit 1
L1 Partial Differentiation
L2 Total Derivative
L3 Euler's Theorem
L4 Maxima and Minima
L5-6 Lagrange Multipliers
L7 Infinite Series
L8 Convergence Tests on Infinite Series
Unit 2
L9 Double Integrals
L9 Double Integrals in Polar Form
L10 Change of Variables
L10 Jacobians
L11 Change of Order
L12 Triple Integrals
L13 Triple Integrals in Cylindrical Coordinates
L14 Triple Integrals in Spherical Coordinates
Unit 3
L1 Rank of Matrix
L2 Eigenvalues and Eigenvector
L3 Eigenvalues and Eigenvector
L4 System of Linear Equation
Unit 4
L1 Elementary Vector Analysis
L2 Vector Products
L3 Vector Differential Calculus
L4 Vector Integral Calculus
L5 Del Operator
L6 Polar Coordinates
L7 Line Integral
L8 Surface Integral
L9 Volume Integral
L10 Green's Theorem
L11 Gauss' Theorem (Divergence Theorem)
L12 Stokes' Theorem
Unit 4 ppt