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  2. AP Calculus - Wikipedia

    en.wikipedia.org/wiki/AP_Calculus

    3 14.1% 15.9% 13.2% N/A 16.0% 11.8% 18.8% 2 10.0% ... the AP Calculus AB exam at the same time as the AP Calculus BC exam to make it impossible for a student to take ...

  3. Advanced Placement exams - Wikipedia

    en.wikipedia.org/wiki/Advanced_Placement_exams

    Advanced Placement (AP) examinations are exams offered in United States by the College Board and are taken each May by students. 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 ...

  4. AP Physics - Wikipedia

    en.wikipedia.org/wiki/AP_Physics

    Both exams have the same number of multiple-choice questions and have identical free-response formats. [2] AP Physics 1 has the lowest average exam scores of any AP exam, while AP Physics C: Mechanics has among the highest. [3] Both exams cover a similar mixture of topics, focusing primarily on Newtonian mechanics, kinematics, rotation, and ...

  5. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    First derivative test; Second derivative test; Extreme value theorem; Differential equation; Differential operator; Newton's method; Taylor's theorem; L'Hôpital's rule; General Leibniz rule; Mean value theorem; Logarithmic derivative; Differential (calculus) Related rates; Regiomontanus' angle maximization problem; Rolle's theorem

  6. Advanced Placement - Wikipedia

    en.wikipedia.org/wiki/Advanced_Placement

    In February 2014 College Board released data from the previous ten years of AP exams. College Board found that 33.2% of public high school graduates from the class of 2013 had taken an AP exam, compared to 18.9% in 2003. In 2013 20.1% of graduates who had taken an AP test achieved a 3 or higher compared to 12.2% in 2003.

  7. 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 15 AP scale, with 5 signifying that the student is "extremely well qualified" for equivalent college credit and 1 signifying "no recommendation." [3]

  8. Monotone convergence theorem - Wikipedia

    en.wikipedia.org/wiki/Monotone_convergence_theorem

    4.2.3.1 Continuity from below. 4.2.4 proof (lemma 3) 5 Proof of theorem. Toggle Proof of theorem subsection. ... For sums of non-negative increasing sequences ...

  9. Leibniz integral rule - Wikipedia

    en.wikipedia.org/wiki/Leibniz_integral_rule

    The sign of the line integral is based on the right-hand rule for the choice of direction of line element ds. To establish this sign, for example, suppose the field F points in the positive z-direction, and the surface Σ is a portion of the xy-plane with perimeter ∂Σ. We adopt the normal to Σ to be in the positive z-direction.

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