A unified and intensive presentation of algebra, analysis, and geometry by a team of instructors. For capable and dedicated students who can allot a substantial amount of time to the study of mathematics. Aims at providing a modern background in mathematics for a career in pure or applied mathematics, science, or engineering. Topics covered include analysis in IR, analysis in Euclidean spaces, linear algebra, geometry, algebraic theories, multi-linear algebra, ordinary differential equations. Covers and extends the material taken up in the courses Calculus in Three Dimensions, Linear Algebra I, Principles of Real Analysis I & II, and Algebraic Structures. Normally taken by students in the third and fourth semesters. On completion a number of options are open, among them the Honors Degree Program. Participation by invitation. Interested Freshmen should contact the Department in March. 6 hrs. lec., 2 hrs. rec.. Prerequisites: 21-131 and 21-132 or the equivalent.