Assignments

Russell's Paradox

Presentation

Stats Report

Presentation

Limit Definition of a Derivative

Applet 1: Sin(x) Transformations


Full applet with questions here

Applet 2: Vector Projections

Applet 3: 3d Conics


Full applet with questions here

Axiom of Choice video

Applet Collections

TitleDescripion
MIT Mathlets Large library of applets, mostly focused on post-secondary courses, but with a lot of function graphing and geometry.
Stapplet.com Lots of statistics applets.
Numbers as Sets Numbers in set notation and what they look like. Need to download software to use.
Integral-domain Algebra, Geometry, and Calculus applets arranged by subject.

Applets

TitleDescription
Delta-Epsilon Diagram An Applet that provides a graphical representation for the epsilon-delta definition of a limit. This is an application of graph theory towards calculus.
Venn Diagram Venn diagram applet that illustrates intersections, compliments, and unions. This has direct applications to probability and statistics.
Set Operations Another applet showing set notation, compliments, unions, and different set operations in a non-graphical way.

Resources

TitleDescription
Math's Fundamental Flaw Great video that talks about the history and foundation of set theory and the impact it had on math. Kinda long, but it’s got some really good bits.
How ISPs Violate the Laws of Mathematics Another video. This one is a humorous explanation of some of the axioms of set theory.
XKCD on Set Theory XKCD comic about the axiom of choice