Year Course
Fulfills “C” of UC/CSU A-G admission requirements
Prerequisite: “B” or better grade in both semesters of Precalculus or teacher recommendation
The course is aligned with the AP Calculus AB Content Standards published by the College Board. Topics include the use of a graphing calculator, limits, the average and instantaneous rates of change, derivatives (rules for differentiation, implicit differentiation, and higher derivatives), graphical analysis using derivatives, L’Hospital’s Rule, continuity theorems (Intermediate Value Theorem, Extreme Value Theorem, Rolle’s Theorem, and the Mean Value Theorem), applications of the derivative (motion, optimization, linear approximation, and scientific contexts), antiderivatives, Riemann sums, the definite integral, the Fundamental Theorem of Calculus, the average value of a function, applications of the integral (area, volume, and scientific contexts), simple differential equations (including exponential growth and decay), and slope fields.
