$$ \def\R{\mathbb R} \def\N{\mathbb N} \def\Q{\mathbb Q} \def\Z{\mathbb Z} \newcommand{\st}{~:~} \newcommand{\cee}{\mathsf{C}} \newcommand{\bee}{\mathrm{B}} \def\mathhlyellow#1{\bbox[##fff3bf,2px,border:1px solid ##b7791f]{#1}} \def\mathhlgold#1{\bbox[##ffe8a3,2px,border:1px solid ##b7791f]{#1}} \def\mathhlorange#1{\bbox[##ffddb3,2px,border:1px solid ##c05621]{#1}} \def\mathhlgreen#1{\bbox[##d9f7d7,2px,border:1px solid ##3f8f46]{#1}} \def\mathhlmint#1{\bbox[##d4f5e9,2px,border:1px solid ##2c7a7b]{#1}} \def\mathhlblue#1{\bbox[##dceeff,2px,border:1px solid ##2b6cb0]{#1}} \def\mathhlpurple#1{\bbox[##eadffd,2px,border:1px solid ##6b46c1]{#1}} \def\mathhlpink#1{\bbox[##ffdbe8,2px,border:1px solid ##b83280]{#1}} \def\mathhlred#1{\bbox[##ffd6d6,2px,border:1px solid ##c53030]{#1}} \def\mathhlgray#1{\bbox[##e8ecef,2px,border:1px solid ##64748b]{#1}} \def\mathhlgrey#1{\bbox[##e8ecef,2px,border:1px solid ##64748b]{#1}} $$

Appendix E — Links to Desmos Web Apps

Below are links to the web app versions of the Desmos interactives found throughout the textbook.

E.1 Axioms of \(\R\)

  1. Supremum of \([0,3)\)
  2. Nested Interval Theorem
  3. Uncountability of \(\R\) using NIT

E.2 Metric Spaces

  1. Distance on the number line
  2. Distance between functions
  3. Suprema and distance
  4. Open set definition demo
  5. Open set as a union of open balls
  6. Open half plane as a union of open balls
  7. Boundedness definition
  8. Boundedness in \(\R\)