![]() ![]() ![]() Related Rates: where you have to differentiate with respect to time (filling containers etc).You have to understand the difference between what the area under an f graph and the area under an f’ graph finds you. f, f, f’’ Graphs: Students often find the ones where you have to go backwards (integrating) the hardest.Also watch out the cross sections perpendicular questions. Area and Volume of Revolution: Watch out when you finding the area about the y axis (you need to swap letters) and also watch out for when you are revolving the area between curves about another line (washer method).This question often also asks for Riemann sums and trapezium rule. Also be aware of the differences between average rate of change, instantaneous rate of change and average value. The questions often ask you to use mean value theorem/intermediate value theorem, but these are phrased in a “hidden” way and students struggle with this. These questions always get combined with forming an equation for the total amount and then differentiating this to find the max/min amount using the first and second part of the fundamental theorem of calculus. Rates/Flows: These are given in a table.Your first thought should always be, can I use calculator? Most students struggle to get used to the style at first, but once you get used to them are easy! The calculator section of the AP Calculus free response section relies heavily on the use of a calculator. Analysis of Series (geometric, harmonic, taylor and power)įree response papers are similar across papers and are very similar across papers.In addition to topics from Calculus AB, the AP Calculus BC exam covers the following: This is because everything from the Calculus AB exam is also covered on the Calculus BC exam. Students taking the Calculus BC exam will earn a score for both Calculus AB and Calculus BC. The major difference between Calculus AB and BC is the range of topics rather than difficulty. Make sure you are strong with using your graphing calculator. domain and range and modulus function, asymptotes) but you can still get away with doing very well in the exam without being “super strong” at these topics. Pre-requisite topics from pre calc are solving quadratics and inequalities, algebraic fractions, logs, indices, trig, polynomial division, functions (composite, inverse, inc. The topics in AP calc are limits, continuity and intermediate value theorem, differentiation (first principles, averages rate of change versus instantaneous rate of change, basic rules combined with product and quotient rule, implicit differentiation, related rates, stationary points, increasing/decreasing, points of inflection, concavity, analysing derivate graphs, mean value theorem), integration (rules, area under a curve, volume of revolution, integral graphs, differential equations, Riemann sums, mean value theorem for integrals) and kinematics. It is usually not accepted by colleges unless there are extenuating circumstances. This means possibly qualified and that one fails to qualify for any college credit. This means qualified and is the equivalent of a B-, C+ or C. This means very well qualified and is the equivalent of an A, B+ or B. 4 = 60% (this has been as low as 51% in the past).A 5 means extremely well qualified and is the equivalent of an A+ or A. This has been as low as 60% in the past though. Percentage-wise grade boundaries are roughly: Grade boundaries depends on how well everyone did overall and the curve that the AP use. Grades range from 5 to 1, with 5 being the highest. Also check which course your univiersity requires. If you did well in precalculus, especially if you found this course quite easy, you should consider going taking BC. How can students decide between taking AB and BC? Precalculus is the main prerequisite for both Calculus AB and Calculus BC. Every single AP Calculus AB and BC past exam papers including full papers, mark schemes and written mark schemes/model solutions for the multiple choice and free response questions from 1969 onwards can be found below. ![]()
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