Continuity
http://www.maa.org/taxonomy/term/41613/0
enWalking with a Slower Friend
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/walking-with-a-slower-friend
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Fay and Sam go for a walk. Sam walks along the left side of the street while Fay, who walks faster, starts with Sam but walks to a point on the right side of the street and then returns to meet Sam to complete one segment of their journey. The authors determine Fay’s optimal path minimizing segment length, and thus maximizing the number of times they meet during the walk. Two solutions are given: one uses derivatives; the other uses only continuity.</em></p>
</div></div></div>The Importance of Being Continuous
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-importance-of-being-continuous
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author discusses issues connected with determining a continuous antiderivative for an integrand continuous over a given interval. The solutions obtained by computer algebra systems often do not fulfill this continuity requirement.</em></p>
</div></div></div>Oscillating Sawtooth Functions
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/oscillating-sawtooth-functions
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author describes examples of sawtooth functions which are derivatives but are not continuous.</em></p>
</div></div></div>Limits, Continuity, and Differentiability
http://www.maa.org/programs/faculty-and-departments/course-communities/limits-continuity-and-differentiability
Intermediate Value Theorem
http://www.maa.org/programs/faculty-and-departments/course-communities/intermediate-value-theorem
Continuity and Limits (Classroom Capsules and Notes)
http://www.maa.org/programs/faculty-and-departments/course-communities/continuity-and-limits-classroom-capsules-and-notes