Real analysis or the theory of calculus–derivatives, integrals, continuity, convergence–starts with a deeper understanding of real numbers, limits, and some topology. Applications of Real Analysis involve questions of existence and uniqueness of solutions, implicit definition of functions, infinite dimensional function spaces, and tools from calculus of variations to construct optimal controls and minimizing curves and surfaces.
The Class: Type: lecture
Requirements/Evaluation: evaluation will be based primarily on exams, homework and quizzes
Prerequisites: MATH 150 and MATH 250, or permission of instructor
Distributions: Division III; Quantative/Formal Reasoning;