Week - 1 |
Multivariable Calculus: Definitions, Rotation of the Coordinate axes, Scalar and Vector Products, Vector Calculus: Derivatives |
Week - 2 |
Gradients, Divergence of vector field, Curl of a vector field, |
Week - 3 |
Vector Integration, Line integrals Multiple integrals, Arc length, Surface area, Volume calculation |
Week - 4 |
Cylindrical coordinates, Spherical coordinates, Gauss’ Theorem, Stokes’ Theorem; |
Week - 5 |
Complex Calculus: Complex algebra |
Week - 6 |
- |
Week - 7 |
Cauchy-Riemann conditions, Laplace equations, Exponential function |
Week - 8 |
Complex integrations, Cauchy’s integral theorem |
Week - 9 |
Singularities, Residue Integration |
Week - 10 |
Conformal Mapping |
Week - 11 |
- |
Week - 12 |
Introduction to Optimization: Unconstrained optimization |
Week - 13 |
Linear programming, Linear programming problems |
Week - 14 |
Constrained optimization, Lagrange multipliers, Second-order conditions |