MATHEMATICS :
AP Calculus AB :
Fall : This course is fully aligned to College Board standards and scope and sequence . Students study functions and graphs , limits and continuity , derivatives , and application of the derivative . Once students derive the power rule , they use known rules for derivatives to differentiate power , radical , rational , trig , exponential , product , quotient , and composite functions . Students use rules for implicit differentiation to find derivatives of logarithmic and inverse trigonometric functions . Derivatives are used to find extrema , related rates , instantaneous slope , tangent lines , curvature , and inflection points , as well as intervals of increasing / decreasing behavior and concavity . Lastly , students learn how to take basic antiderivatives of power , exponential , and trigonometric functions . Fall semester typically covers College Board units 1-5 .
Spring : As with Fall semester , this course is taught at the college level and follows the expectations of the College Board . Students study antiderivatives and definite integrals , and apply them to find volume , work , and center of gravity . The Spring course also includes exposure to and practice with AP Free Response and Multiple Choice questions . Spring semester typically covers College Board units 6-8 .
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