This course provides additional mathematical techniques and deepens the understanding of concepts in mathematics to support continued study in science and engineering. Emphasis is placed upon using mathematics to gain insight into natural and man-made phenomena that give rise to problems in differential equations and vector calculus. Calculus topics focus on three- dimensional space curves, vector fields and operations, divergence and curl, line and surface integrals. Topics in differential equations include systems of ordinary differential equations and Laplace transforms. Introduction is made to classical partial differential equations and their numerical solution.