AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. You’ll learn how to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and how to make connections amongst these representations. You will learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.n the realm of education, a holistic approach to calculus is emphasized, designed to foster a deep and multifaceted comprehension of its concepts. Students are encouraged to engage with functions through various lenses, incorporating numerical, graphical, analytical, and verbal perspectives. The derivative is presented as both the instantaneous rate of change and a means of locally approximating a function’s behavior. Similarly, the definite integral is introduced as the limit of a Riemann sum and as a method to quantify the net accumulation of a changing quantity. The intrinsic connection between derivatives and the definite integral is illuminated through the elucidation of the Fundamental Theorem of Calculus, deepening the understanding of their interplay. Effective communication skills, both written and verbal, are honed throughout the learning process. Students are equipped to adeptly model real-world scenarios, whether through functions, differential equations, or integrals, enabling them to bridge the gap between mathematical abstraction and practical application. Embracing technological tools, students engage in analysis, experimentation, and the interpretation of results, facilitating a more comprehensive understanding of complex calculus problems. The curriculum also instills the invaluable skill of critically evaluating the reasonableness and validity of solutions. Beyond the acquisition of technical knowledge, this educational journey instills a profound appreciation for the intricate world of calculus, fostering a sense of personal accomplishment and inspiring a lifelong love for the subject.