·
Review: sets, inequalities
and absolute values inequalities.
·
Functions: definition,
limits, continuity, asymptotic lines, and derivatives (definition, theorems,
chain rules, implicit differentiation, rates of change, derivative of higher
order).
·
Trigonometric functions and
inverse trigonometric functions and their derivatives.
·
Applications: slop of a
tangent, the differential and approximations, the critical points, the relative
and absolute maxima and minima, concavity and points of inflection, curve
sketching, Roll’s theorem, mean value theorem, and L’hopital’s rule.