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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. Thomas Jefferson High School for Science and Technology

    en.wikipedia.org/wiki/Thomas_Jefferson_High...

    In 2007, for schools with more than 800 students in grades 10–12, TJ was cited as having the highest-performing AP Calculus BC, AP Chemistry, AP French Language, AP Government and Politics, U.S., and AP U.S. History courses among all schools worldwide. [82] In 2014, 3864 AP Exams were taken by students; over 97% earned a score of 3, 4, or 5.

  4. Jaime Escalante - Wikipedia

    en.wikipedia.org/wiki/Jaime_Escalante

    In 1983, the number of students enrolling and passing the calculus test more than doubled. That year, 33 students took the exam, and 30 passed. That year, he also started to teach calculus at East Los Angeles College. [10] [9] By 1987, 83 students passed the AB version of the exam, and another 12 passed the BC version. That was the peak for the ...

  5. 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.

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    It is fundamentally the study of the relationship of variables that depend on each other. Calculus was expanded in the 18th century by Euler with the introduction of the concept of a function and many other results. [40] Presently, "calculus" refers mainly to the elementary part of this theory, and "analysis" is commonly used for advanced parts ...

  7. Angle bisector theorem - Wikipedia

    en.wikipedia.org/wiki/Angle_bisector_theorem

    Consider a triangle ABC.Let the angle bisector of angle ∠ A intersect side BC at a point D between B and C.The angle bisector theorem states that the ratio of the length of the line segment BD to the length of segment CD is equal to the ratio of the length of side AB to the length of side AC:

  8. Triangle inequality - Wikipedia

    en.wikipedia.org/wiki/Triangle_inequality

    Three examples of the triangle inequality for triangles with sides of lengths x, y, z.The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

  9. Harmonic series (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(mathematics)

    Applications of the harmonic series and its partial sums include Euler's proof that there are infinitely many prime numbers, the analysis of the coupon collector's problem on how many random trials are needed to provide a complete range of responses, the connected components of random graphs, the block-stacking problem on how far over the edge ...

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