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  2. AP Calculus - Wikipedia

    en.wikipedia.org/wiki/AP_Calculus

    It can be seen from the tables that the pass rate (score of 3 or higher) of AP Calculus BC is higher than AP Calculus AB. It can also be noted that about 1/3 as many take the BC exam as take the AB exam. A possible explanation for the higher scores on BC is that students who take AP Calculus BC are more prepared and advanced in math.

  3. Advanced Placement exams - Wikipedia

    en.wikipedia.org/wiki/Advanced_Placement_exams

    The tests are the culmination of year-long Advanced Placement (AP) courses, which are typically offered at the high school level. AP exams (with few exceptions [1]) have a multiple-choice section and a free-response section. AP Studio Art requires students to submit a portfolio for review.

  4. AP Precalculus - Wikipedia

    en.wikipedia.org/wiki/AP_Precalculus

    Section II is worth 37.5% of the exam score, with the non-calculator and calculator sections weighed equally. [5] AP Precalculus exams will be scored on the standard 1–5 AP scale, with 5 signifying that the student is "extremely well qualified" for equivalent college credit and 1 signifying "no recommendation." [3]

  5. Advanced Placement - Wikipedia

    en.wikipedia.org/wiki/Advanced_Placement

    A 2017 study found similar participation rates (49.5% for AP Chemistry, 52.3% for AP Physics, 54.5% for Biology, and 68.9% for Calculus). History exams were found to have slightly higher participation rates (57.9% for AP European History, 58.5% for AP World History, and 62.8% for AP U.S. History), and 65.4% of AP English students took either ...

  6. AP Physics - Wikipedia

    en.wikipedia.org/wiki/AP_Physics

    AP Physics C: Mechanics and AP Physics 1 are both introductory college-level courses in mechanics, with the former recognized by more universities. [1] The AP Physics C: Mechanics exam includes a combination of conceptual questions, algebra-based questions, and calculus-based questions, while the AP Physics 1 exam includes only conceptual and algebra-based questions.

  7. Fundamental theorem of calculus - Wikipedia

    en.wikipedia.org/.../Fundamental_theorem_of_calculus

    The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations can be ...

  8. AP Chemistry - Wikipedia

    en.wikipedia.org/wiki/AP_Chemistry

    The 2014 AP Chemistry exam was the first administration of a redesigned test as a result of a redesigning of the AP Chemistry course. The exam format is now different from the previous years, with 60 multiple choice questions (now with only four answer choices per question), 3 long free response questions, and 4 short free response questions.

  9. Concave function - Wikipedia

    en.wikipedia.org/wiki/Concave_function

    [3] [4] Points where concavity changes (between concave and convex) are inflection points. [5] If f is twice-differentiable, then f is concave if and only if f ′′ is non-positive (or, informally, if the "acceleration" is non-positive). If f ′′ is negative then f is strictly concave, but the converse is not true, as shown by f(x) = −x 4.