They also know how to use separable differential equations and are familiar with slope fields. Students know how to use integration to solve various real world problems including work problems and problems based upon liquid pressure and fluid force. They know how to use integration to calculate volumes of solids of revolution and surface area. Students are familiar with various integration techniques, including the chain rule, u-substitution, integration by parts, trig substitution, and partial fractions. Students know how to approximate the area under curves using numerical methods and how to calculate the exact area using integration. They are familiar using derivatives in real world situations. They know how to use Calculus to analyze various functions and sketch graphs based on their derivatives. They know how to differentiate functions and use various differentiation rules including the combination rules and the chain rule. Students successfully completing these courses will know what limits are and how to compute them. (These courses have been audited and approved by the College Board to carry the AP designation and have been acknowledged to provide students with a college-level learning experience.) Students completing this series will have taken the equivalent of two-semesters of college Calculus. This course has been audited and approved by the College Board.Īcellus AP Calculus BC is A-G Approved through the University of California.Ĭourse Objectives & Student Learning OutcomesĪcellus AP Calculus is a two part-series consisting of Acellus AP Calculus AB and BC. This provides insight few students experience in more conventional Calculus courses, empowering them with the knowledge required to solve real world problems.Īcellus AP Calculus BC is taught by veteran AP Calculus teacher, Patrick Mara. Students completing this course will be able to take the AP Calculus exam, enabling them to earn college credit for taking this course while still in high school.īesides learning how to use the basic tools of Calculus, students completing this course learn on a deeper level what they are really doing and why it works. Acellus AP Calculus is a two-part advanced placement course providing students with the curriculum required by the College Board for AP Calculus AB and BC.
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