*The paper presents a guided collection of problems investigating when groups are isomorphic to proper subgroups.*

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*The author explores integration of radially symmetric functions of several variables.*

This is a discusion of the importance of the existence of limits in L'Hôpital's Rule.

*An analytic proof of the fact that for any triangle \(ABC\), \(G=\frac{1}{3}(A+B+C)\) is the centroid of the triangle.*

*A simple characterization of the condition that, for an integer-sided triangle, one angle is twice another.*

*An alternative to partial fractions for certain integral calculations*

*Using substitutions to derive equations for the ellipse and hyperbola*

*A polar coordinate proof of the fact that the focal radii of an elipse (hyperbola) make equal angles with the tangent.*

*An extension of the fact that \(1/n!\) is the content (volume) of a particular \(n\)-dimensional simplex*

*Simple proofs of the formulas for the derivatives of \(\sin x\) and \(\cos x\) when \(x\) is acute*