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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.
Grading: yes pass/fail option,
yes fifth course option
exams, homework and quizzes
MATH 150 and MATH 250, or permission of instructor
Core mathematics major course with daily problem sets.