AP Calculus II Semester 1 Review Topics PDF

AP Calc II Semester I Review Topics Unit 1: Parametric Equations, Vectors, & Vector Valued Functions Parametric to Cartesian(Rectangular), Cartesian to parametric First and Second Derivatives Slopes, tangent lines, horizontal and vertical tangency Conic Sections – graphi...

AP Calc II Semester I Review Topics Unit 1: Parametric Equations, Vectors, & Vector Valued Functions Parametric to Cartesian(Rectangular), Cartesian to parametric First and Second Derivatives Slopes, tangent lines, horizontal and vertical tangency Conic Sections – graphing circles, ellipses, specifically Graph parametric curves – with table, and with calculator Arclength of a parametric curve Operations with vectors, magnitude, dot product Linear combination form and component form Angle between vectors Unit vectors (also parallel to and normal to curves) Position, velocity and acceleration vectors Resultant vectors and direction angles Vector valued functions Derivatives, Integrals of vector valued functions Projectile motion Unit 2: Polar Functions Polar coordinate system Conversions (between polar, rectangular, and parametric forms) Polar first and second derivatives Horizontal and vertical tangents Slope of tangent to curve at specific polar point Area of region bounded by a polar curve Polar extrema (max/min) Polar arc length Symmetry of a polar curve (curve sketching aids) Unit 3: Integration techniques Memorized Formulas U-substitution Polynomial long division Completing the square Integration by parts Partial fraction decomposition Trig techniques Improper Integrals Limits - L’Hopital’s Rule (Plus - anything from last year, see the formulas sheet and notes from last year to review key concepts) Test Format o 15 Multiple Choice Questions – 30 minutes, 4 points each, 60 points total o Some calculator, some no calculator o 2 Free Response Questions – 30 minutes, 20 points each, 40 points total Grading 67 – 100 points: 90 – 100% 50 – 66 points: 80 – 89% 25 – 49 points: 70 – 79% 13 – 24 points: 60 – 69% 0 – 12 points: 50 – 59% Suggestions for Studying o Complete review problems o Review notes and practice from each unit o Create a study sheet with key information from each unit to summarize your notes o Study/re-attempt the review problems assigned for each unit o Make sure you have all key formulas memorized (cumulative formula sheet) o Review all FRQ practice sets from class (we looked at these at the end of each unit)