Basic plotting -- Parametric equations -- Optimization problems -- Interpolation -- Conic through five points -- An implicit function -- Inverse functions -- Partial fraction decomposition -- Derivatives by definition -- Implicit differentiation -- Taylor polynomials -- Teaching the definite integral -- Deriving Simpson's rule -- Numerical integration -- Improper integrals -- Integration by trig substitution -- Integration by parts -- Integration by parts twice -- Surface area of a solid of revolution -- A separable differential equation -- Newton's law of cooling -- Logistic growth -- L'Hôpital's rule -- Lines and planes -- Curvature from every angle -- The Lagrange multiplier, part one -- The Lagrange multiplier, part two -- The Lagrange multiplier, part three -- Iterated integration