AP Calculus AB Part B is the second part of a full academic year of work in calculus and related topics, comparable to courses in colleges and universities. Students must have a thorough knowledge of college preparatory mathematics including algebra, axiomatic geometry, trigonometry, and analytic geometry. Topics include: Functions, Graphs, Limits, Derivatives and Integrals. Conceptual understanding of the essential concepts of calculus is emphasized in theory and practice. Professional mathematics organizations have strongly endorsed the use of graphing calculators in mathematics instruction, and consequently these calculators are also used throughout the course and required for a portion of the AP exam. Due to the rigorous nature of this course, students who are considering taking AP Calculus should seek the advice of their current mathematics teacher.
Representations should be used to model and interpret physical, social, and mathematical phenomena.
Mathematical thinking should be communicated coherently and clearly to teachers, peers and others.
Students should be able to judge the meaning, utility and reasonableness of the results of symbol manipulation including things carried out by technology.
Functions should be analyzed by investigating rates of change, intercepts, zeros, asymptotes, and local & global behavior.
Estimation should be used to gain a deeper understanding of the concept and seeing the validity of a solution.
Students should be able to use the language of mathematics to express mathematical ideas incisively.