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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]
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. AP Computer Science Principles requires students to complete the Create task, which is part of the AP grade for the class. AP exams were taken by subject in 2013.
Free response questions typically require little work for instructors to write, but can be difficult to grade consistently as they require subjective judgments. Free response tests are a relatively effective test of higher-level reasoning, as the format requires test-takers to provide more of their reasoning in the answer than multiple choice ...
Advanced Placement (AP) Physics B was a physics course administered by the College Board as part of its Advanced Placement program. It was equivalent to a year-long introductory university course covering Newtonian mechanics , electromagnetism , fluid mechanics , thermal physics , waves , optics , and modern physics .
Students' answers to the free-response section are reviewed in early June by readers that include high school and college statistics teachers gathered in a designated location. [12] [17] The readers use a pre-made rubric to assess the answers and normally grade only one question in a given exam. Each question is graded on a scale from 0 to 4 ...
The heavily computational AP Physics B course served as the College Board's algebra-based offering for four decades. As part of the College Board's redesign of science courses, AP Physics B was discontinued; therefore, AP Physics 1 and 2 were created with guidance from the National Research Council and the National Science Foundation. [2]
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The quadratic formula =. is a closed form of the solutions to the general quadratic equation + + =. More generally, in the context of polynomial equations, a closed form of a solution is a solution in radicals; that is, a closed-form expression for which the allowed functions are only n th-roots and field operations (+,,, /).