**2.1 Rates of Change and Limits**

A - Average rate of change and instantaneous rate of change

B - What is a limit?

C - Limit definition, theorem, and rules

D - Squeeze theorem

**2.2 Limits Involving Infinity**

A - Horizontal asymptotes and the squeeze theorem

B - Limit rules, vertical asymptotes, and end-behavior models

C - Seeing limits at infinity, limits: decision flow

**2.3 Continuity**

A - Continuity at a point

B - Continuity of a composite function and IVT

**2.4 Rates of Change and Tangent Lines**

A - Average RoC, Instantaneous RoC, and tangent lines

B - Instantaneous RoC, and tangents at a point

**3.1 Derivative of a Function**

A - Definition of a derivative - 2 versions, graphs of f and f'

B - Graphing f from f', and one-sided derivatives

**3.2 Differentiability**

A - When does f' fail to exist, local linearity, nDerivative

B - nDertivative calculator, differentiability implies continuity, IVT for derivatives

**3.3 Rules of Differentiation**

A - Derivative rules for constants, powers, sums and differences, products, and quotients. Horizontal tangents by hand and calculator

B - Finding derivatives numerically. More on power rules. Higher order derivatives and instantaneous rate of change

**3.4** **Velocity and Other Rates of Change**

A - Circles, graphing velocity, and reading a velocity graph

B - Acceleration, studying particle motion. Derivatives in economics