Purpose

The purpose of this course is to give undergraduates in materials science and engineering an introduction to most of the essential mathematical concepts that they will need as part of a complete undergraduate education. This course is intended for sophomore who are just beginning their major in materials science and engineering. Students are expected to understand and be able to apply concepts from basic calculus (integration and differentiation of functions of a single variable, limits and continuity, fundamental theorem of calculus, Taylor series) and from multi-variable calculus (partial differentiation, vector differential operators, multidimensional integration, vector algebra) although some concepts will be reviewed as needed.