A typical multivariate calculus course covering vector-valued functions; partial derivatives; double and triple integrals; line and surface integrals of scalar functions and vector fields; polar, cylindrical, and spherical coordinate systems; and Green's Theorem, Stokes' Theorem, and the Divergence Theorem. The figure to the left shows the contour plot of a smooth surface with the gradient vector field overlaid. This shows how the gradient is perpendicular to level curves of the surface.
MATH 207 -- Statistical Data Analysis
This class is an introductory course to modern statistical techniques that moves more quickly than its MATH 107 counterpart. Techniques of data analysis are explored including graphical methods, random variables, discrete and continuous probability models, regression analysis, sampling distributions for sample proportions and means, and inference for one and two population proportions and means. The figure to the left shows the binomial probability distribution.