Reviewing Calculus VII material: one post from each month of 2015.

**January:**Completely monotone imitation of 1/x**February:**Nonlinear Closed Graph Theorem**March:**Lattice points in a disk**April:**Implicit Möbius strip**May:**Between a cubic spline and the line of regression**June:**Oscillatory explosion**July:**Retraction by contraction**August:**Rough isometries**September:**Bounded convex function with no continuous boundary extension**October:**Polynomial delta function**November:**Rarefaction colliding with two shocks**December:**Poor man’s discrete cosine transform