Programme 10 Partial Differentiation 370 Small increaments Inverse functions Stationary value of a function Lagrange undetermined multipliers
Programme 11 Partial Differential Equations 414 Introduction Partial differential equation The heat conduction equation for a uniform finite bar Laplace's Equation Laplace's Equation in plane polar coordinates
Programme 12 Matrix algebra Singular and non-singular matrices Elementary operations nd euivalent matrices Consistency of a set of equations Solution of a set of equations Eigenvalues and Eigenvectors
Programme 13 Numerical solutions of partial differential equations 517 Introduction Numerical approximation to derivatives Function of real two variables Grid values Computational molecules Summary of procedures
Programme 14 Multiple integration 1 566 Introduction Differentials Area enclosed by a close curve Line integrals Green's theorem
Programme 16 Integral Functions 661 Integral function The beta function The error function
Programme 17 Vector analysis 1 697 Introduction Triple products Partial differentiation of vectors Scalar and vector fields Summary of grad, div and curl
Programme 19 Vector analysis 3 795 Curvilinear coordinates Orthogonal coordinate system in space Scale factors General curvilinear coordinate system (u, v, w)
Programme 20 Complex analysis 1 821 Functions of a complex variable Complex mapping Non-linear transformation
Programme 21 Complex analysis 2 861 Differentiation of a complex function Harmonic function Complex integration Conformal transformation (Conformal mapping)
Programme 22 Complex analysis 3 909 Maclaurin series Radius of Converence Singular points Circle of convergence Taylor's series Laurent,s series etc
Programme 23 Optimization and linear programming 940 Optimization The simplex method Applications