MAT 401 Expected Learning Outcomes

• Use and understand techniques and concepts from elementary topology and real analysis: open, closed, and compact sets, least-upper-bounds, Euclidean norm, triangle and Schwartz inequalities, convergence, limits, Cauchy sequences, epsilon-delta proof techniques, uniform convergence, continuity, differentiability.
• Prove basic results about real-valued functions in a single real variable, subsets and sequences of real numbers.
• Solve concrete problems and write clear and coherent mathematical arguments incorporating these techniques and concepts.