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AP Calculus

This course provides an introduction to single variable calculus. The purpose of this course is to provide students with some connection between the math they are doing and the things that directly affect how we live. Here, you will develop a deep understanding of the most important concepts of the calculus: limits and continuity, the derivative and its applications, the integral and its applications, differential equations. Limits allow us to understand the behavior of a function as its inputs approach some specified value and provide the foundation for the other two concepts. Derivatives arise as slopes of tangent lines, rates of change, and linear approximations. Integrals provide a way of finding the area under a curve and the total change of a rate of change. You should understand each of these concepts theoretically, geometrically, and heuristically and be able to compute effectively enough to apply them appropriately. In order to do so you will need to develop your abilities to think mathematically and communicate effectively.
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