![]() Analysis of Functions: Calculus allows us to analyze the behaviors of functions by relating limits to differentiation, integration, and infinite series and relating each of these concepts to the others.īoth AP Cal AB and BC share 8 units: Limits and Continuity, Differentiation: DefinitionĪnd Fundamental Properties, Differentiation: Composite, Implicit, and Inverse Functions, Contextual Applications of Differentiation, Analytical Applications of Differentiation, Integration, and Accumulation of Change, Differential Equations, Applications of Integration.Limits: Beginning with a discrete model and then considering the consequences of a limiting case allows us to model real-world behavior and to discover and understand significant ideas, definitions, formulas, and theorems in calculus: for example, continuity, differentiation, integration, and series (BC only).It is critical that students grasp the relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus-a central idea in AP Calculus. Changes: Using derivatives to describe rates of change of one variable concerning another or using definite integrals to describe the net change in one variable throughout another allows students to understand the difference in various contexts. ![]() Both courses cover 3 big ideas: Change, Limits, and Analysis of functions. AP Cal AB and BC cover similar topics, with BC going deeper into specific topics.
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