Straight-line motion to solve problems involving curvesĬonvergence and divergence behaviors of infinite series, determining the largest possible error associated with certain approximations involving series. Solving parametrically defined functions, vector-valued functions, and polar curves using applied knowledge of differentiation and integration. Parametric Equations, Polar Coordinates, and Vector-Valued Functions Net change over an interval of time and to find lengths of curves, areas of regions, or volumes of solids defined using functions Solving differential equations, understanding exponential growth, decay and logistic models Applying properties of integrals and practicing useful integration techniques How limits will allow you to solve problems involving changeĭifferentiation: Fundamentals and PropertiesĪpplying limits to define the derivative and determining derivativesĭifferentiation: Composite, Implicit and Inverse FunctionsĬhain Rule, Developing new differentiation techniques and Higher-order derivativesĬontextual Applications of DifferentiationĪpplying derivatives to set up and solve real-world problems involving instantaneous rates of change and use mathematical reasoning to determine limits of certain indeterminate formsĪnalytical Applications of DifferentiationĮxploring relationships among the graphs of a function and its derivatives and applying calculus to solve optimization problems.ĭefining definite integrals and how the Fundamental Theorem connects integration and differentiation. This is what you’ll be learning in Calculus: Unit Name In a full-year, two-semester calculus course, AP Calculus BC is designed to cover the material that a first-year college student would learn. It might be advantageous for students to have taken AP Calculus AB before AP Calculus BC. Students must have a strong background in math because this is a very advanced course. The more difficult of the two courses, AP Calculus BC, builds on what students gained in AP Calculus AB. The College Board offers AP Calculus BC in addition to AP Calculus AB as its two AP Calculus courses. Here are some of your major options if you choose to study AP Calculus BC: Furthermore, passing the AP Calculus BC exam gives you more math credit in college in the vast majority of cases. AP Calculus BC is an advanced Calculus class that you could go for if you’re looking at a STEM course for your undergraduate degree like pre-medicine, engineering or natural sciences. Remember to take into account your personal schedule, the subjects you are most interested in, and how AP Calculus BC will affect your plans in addition to the factors mentioned above as you make your choice. Here is all you need to know about AP Calculus BC First of all, why should you take AP Calculus BC?Īt the end of the day, you alone will determine whether or not to enroll in AP Calculus BC.
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