The inequalities of Bernoulli, Buniakowski-Cauchy-Schwarz, Carleman, Cesaro-Buchner, Chebychev, Gronwall, Hardy, Holder, Jensen, Minkowski, Poincare, and Young. Convex Functions. Mean Values for Finite Sequences. Mean Values for Integrals. The Arithmetic Mean-Geometric Mean Inequality and Its Applications. Walli's Formula. Stirling's Formula. Calculus of Variations. Geodesics. Isoperimetric Problems.