Theory of Analysis 1
Mathematics College of Physical and Mathematical Sciences
Rigorous treatment of calculus of a single real variable: topology, order, completeness of real numbers; continuity, differentiability, integrability, and convergence of functions.
Fall, Winter, Summer
Math 113 and Math 290.
Students will be able to prove central results from single-variable analysis, as well as other results with similar derivations.
Students will be able to distinguish between true and plausibly-sounding false propositions in the language of single-variable analysis.
Students will be able to construct examples and counterexamples illustrating relations between different concepts from single-variable analysis.
Students will be able to categorize structures in single-variable analysis according to their properties.