Real analysis or the theory of calculus-derivatives, integrals, continuity, convergence-starts with a deeper understanding of real numbers and limits. Applications in the calculus of variations or "infinite-dimensional calculus" include geodesics, harmonic functions, minimal surfaces, Hamilton's action and Lagrange's equations, optimal economic strategies, nonEuclidean geometry, and general relativity. Format: lecture. Evaluation will be based primarily on homework, classwork, and exams. Prerequisites: Mathematics 105 and 211, or permission of instructor. No enrollment limit (expected: 25).