PHYS244: Mathematical Methods I

Calculus of functions of several variables, partial differentiation, total differential, Euler's theorem on homogeneous functions; Constrained and unconstrained extrema, multiple integrals; Jacobian; Scalar and vector fields; Line, surface and volume integrals; Vector operators, grad, div and curl; Gauss, Stokes and Green's theorems; Ordinary differential equations with variable coefficients, series solutions.