MATH 341

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Theory of Analysis 1

Mathematics College of Computational, Mathematical, & Physical Sciences

Course Description

Rigorous treatment of calculus of a single real variable: topology, order, completeness of real numbers; continuity, differentiability, integrability, and convergence of functions.

When Taught

Fall, Winter, Summer

Min

3

Fixed/Max

3

Fixed

3

Fixed

0
No Prerequisites

Other Prerequisites

Math 113 and Math 290.

Title

Prove

Learning Outcome

Students will be able to prove central results from single-variable analysis, as well as other results with similar derivations.

Title

Distinguish

Learning Outcome

Students will be able to distinguish between true and plausibly-sounding false propositions in the language of single-variable analysis.

Title

Construct

Learning Outcome

Students will be able to construct examples and counterexamples illustrating relations between different concepts from single-variable analysis.

Title

Categorize

Learning Outcome

Students will be able to categorize structures in single-variable analysis according to their properties.