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high school Calculus

Year band 12. The subject extends Math II polynomial calculus to exp, log, and trig across 17 lessons. The 5 sequence-limit lessons stand beside later differentiation and integration; Math I sequences are the prerequisite. The applications-of-definite-integral lesson is volume and arc length.

17 lessons

Limits of Sequences

5 lessons
Limit of a SequenceLimit of a Geometric SequenceSeriesInfinite Geometric SeriesApplications of Geometric Series

Differentiation

6 lessons
Derivatives of Various FunctionsDifferentiation MethodsAdvanced Derivative ApplicationsSecond Derivative & Inflection PointsDerivatives in Equations & InequalitiesVelocity & Acceleration

Integration

6 lessons
Integration MethodsDefinite Integral (Advanced)Functions Defined by IntegralsDefinite Integrals & Infinite SeriesArea Between Two CurvesVolume & Arc Length via Integration