Calculus I

Concavity, critical points & relative extrema

Indefinite integrals

Secant lines and tangent lines

Techniques for computing limits

Limits at infinity (cont.) & continuous functions

Trigonometric limits & the derivatives of the trig functions

The chain rule

Derivatives of inverse trig functions (cont.), derivatives of inverse functions, review of limits of quotients

Review of limits of quotients (cont.) & L'Hopital's rule & indeterminate forms

Applied Max-Min problems (cont.)

Applied Max-Min problems

Graphing polynomial functions & rational functions

Relative extrema (cont.) &

Graphing rational functions (cont.) & absolute extrema

Average and instantaneous rates of change, introduction to limits

Definition of the derivative

Differentiation rules (cont.) & the product and quotient Rules

Techniques for computing limits (cont.) & limits at infinity

Differentiation rules

Review of logarithmic functions (cont.) & derivatives of logarithmic functions