MATH 5100 Intermediate Calculus
Application of differential equations. Analysis of indeterminate limits, improper integrals and power series. Examination of differential and integral calculus of multivariate functions with applications to the optimization of functions and multiple integrals. Review of line integrals and flow lines of vector fields, the divergence and rotational of a field and its role in the theorems of Green, Stokes and Gauss. Determination of potential fields and their applications to physics and engineering. Use of software for symbolic and numerical computations.