UNDERGRADUATE: Learning Objectives
The Bachelor's degrees in Mathematics are intended to provide basic knowledge in, and standard mathematical techniques of, the areas most relevant for that degree, and to allow each student to augment that knowledge by the study of other mathematical topics that address his or her own particular interests and goals. Students should develop the intellectual approaches and habits that characterize both the development of mathematical structures and the application of mathematics: precision of thought, deep and insightful understanding of material, the need for justification of statement and for the careful application of mathematics, the art of recognizing patterns in diverse situations and areas, the ability to abstract general principles from specific situations, an appreciation of the structure and beauty of the subject and the power of its applications.
Bachelor of Science degrees provide a more robust and broader range of material for those students desiring a more intense study of mathematics. These have a greater number of core requirements in the areas appropriate for the degree and insist on a greater experience with courses that use mathematics and are offered by other departments.
The standard BA and BS degrees require a more focused study, than the applied degrees, of formal and abstract material that provides a deep understanding of the core areas of algebra and analysis. Students with these degrees and an appropriate choice of electives should be well prepared for graduate study in mathematics or a career in teaching. The Applied and Computational BA and BS focus on the areas most useful in the application of mathematics to real-world problems. These degrees should prepare students interested in a career with technologically oriented companies and who may not intend to pursue graduate study in mathematics.