Functions: how to graph them; estimating when you have only the graph; dervative as an operator; solution to a differential equation is a function; Exponential behavior: exponential growth, decay and approach; relating infinitesimal behavior to long-term behavior; knowing which real life models behave in these ways' Limits and continuity: intuitive understanding; ability to use the definition in tricky cases; Estimating: linear estimates with first derivative; higher order estimates with Taylor series; integrating something near gives something near; computational tricks and knowing approximate constants; Bounding: what it means to bound a quantity in an interval; bounding partial sums of series; bounding series by integrals and vice versa; convexity makes a linear estimate into a bound; Units: exponential and logarithm takes unitless quantities; units of df/dx are units of f divided by units of x; units of \int f dx are units of f times units of x; Free and bound variables: in integrals ("dummy variables"); in sums; in max-min problems; Orders of growth: powers, exponentials, logs and their relations at 0 and infinity; O(.) notation; nth order approximation at a point; Problem-solving heuristics: check whether you understand what is being asked; look at some data; try to solve a special case; try to solve a simpler problem; Verbal skills: use of proper grammar and precise terms; recognizing counterexamples to hypotheses; recognizing counterexamples to arguments;