Mathematics III (MATH 301)
The course continues with vector calculus which introduces a calculus in several variables. Differentiation of functions in more than one variable is examined and the extremal values of these functions are discussed. Specifically this course covers operations like gradients, divergents, curls of scalar and vector fields. In addition important integral theorems like Green’s, Stoke’s and Gauss’s theorem are introduced and the application to scalar and vector fields is discussed. For functions in more than one variable differential equations (partial differential equations PDE) like the diffusion and wave equation are derived and the solution strategies for linear PDEs is discussed as an initial and boundary value problem. The solutions are derived by using Laplace and Forier Transformas and the related Series. In addition Green’s solution procedure is used to solve linear PDEs.