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  2. AP Calculus - Wikipedia

    en.wikipedia.org/wiki/AP_Calculus

    The AP Program includes specifications for two calculus courses and the exam for each course. The two courses and the two corresponding exams are designated as Calculus AB and Calculus BC. Calculus AB can be offered as an AP course by any school that can organize a curriculum for students with advanced mathematical ability. [1]

  3. 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 ...

  4. 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.

  5. AP Precalculus - Wikipedia

    en.wikipedia.org/wiki/AP_Precalculus

    Advanced Placement (AP) Precalculus (also known as AP Precalc) is an Advanced Placement precalculus course and examination, offered by the College Board, in development since 2021 [1] and announced in May 2022. [2] The course debuted in the fall of 2023, with the first exam session taking place in May 2024.

  6. Precalculus - Wikipedia

    en.wikipedia.org/wiki/Precalculus

    Precalculus prepares students for calculus somewhat differently from the way that pre-algebra prepares students for algebra. While pre-algebra often has extensive coverage of basic algebraic concepts, precalculus courses might see only small amounts of calculus concepts, if at all, and often involves covering algebraic topics that might not have been given attention in earlier algebra courses.

  7. AP Computer Science Principles - Wikipedia

    en.wikipedia.org/wiki/AP_Computer_Science_Principles

    The AP exam uses paper and pencil. (With the exception of year 2020, only Create and Explore were tested. In 2021, only Create and the multiple choice section were tested.) [7] It lasts 180 minutes and includes approximately 76 questions. The exam is composed of two sections: 74 Multiple-Choice Questions

  8. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    Since the converse of premise (1) is not valid, all that can be stated of the relationship of P and Q is that in the absence of Q, P does not occur, meaning that Q is the necessary condition for P. The rule of inference for necessary condition is modus tollens: Premise (1): If P, then Q; Premise (2): not Q; Conclusion: Therefore, not P

  9. Fermat's principle - Wikipedia

    en.wikipedia.org/wiki/Fermat's_principle

    Fig. 1: Fermat's principle in the case of refraction of light at a flat surface between (say) air and water. Given an object-point A in the air, and an observation point B in the water, the refraction point P is that which minimizes the time taken by the light to travel the path APB .