Welcome to Mr. Hill's Calculus and AP Calculus Page
Calculus I
1 credit
Grade: 12
Prerequisite:C grade in Math 5 Honors and teacher recommendation
This course develops calculus in an intuitive, conceptual manner. This course will focus on
piecewise functions, transformations, compositions, inverses, limits and continuity, relationship
between distance, velocity, and acceleration, rates of change, area under and between a curve,
summation notation, curve analysis, differentiability, Riemann sums, integrals and derivatives of
polynomial and trigonometric functions, Fundamental Theorem of Calculus, Newton’s Method,
optimization applications, and l’Hopital’s Rule.
AP Calculus BC
1 credit
Grade: 12
Prerequisite:Calculus I with B grade or better or math department recommendation
This course, along with Calculus 1, prepares students for the AP Calculus BC test (equivalent to
Calculus 2). This course will focus on derivatives and integrals of exponential, inverse
trigonometric, and natural log functions, implicit differentiation, Mean Value Theorem, improper
integrals, related rates applications, advanced integration techniques, differential equations,
slope fields, Newton’s Law of Cooling, volumes of revolution, arc length, infinite series, tests for
convergence, logistic curves, areas for polar curves, MacLaurin and Taylor Polynomials.
Students will have the opportunity to take the Advanced Placement Test in Calculus, which
could lead to college credit. This test is approximately $88.00.
Calculus Expectations
AP Calculus Expectations
Term 1 Syllabus
Term 2 Syllabus
