# MA 126 Standards

Calculus II - 2017 Summer

At the end of the course, each student should be able to…

## Core Standards

• C01: LogExpDerInt. Find derivatives and integrals involving logrithmic and exponential functions.
• C02: HypDerInt. Find derivatives and integrals involving hypberbolic functions.
• C03: IntSub. Use integration by substitution.
• C04: IntParts. Use integration by parts.
• C05: IntTech. Identify appropriate integration techniques.
• C06: AreaBtCurv. Express an area between curves as a definite integral.
• C07: WashShell. Use the washer or cylindrical shell method to express a volume of revolution as a definite integral.
• C08: Work. Express the work done in a system as a definite integral.
• C09: Param. Parametrize planar curves and sketch parametrized curves.
• C10: Polar. Convert and sketch polar and Cartesian coordinates and equations.
• C11: SeqLim. Compute the limit of a convergent sequence.
• C12: PartSum. Find the value of a convergent series by expressing it as a limit of partial sums.
• C13: SerTech. Identify series as convergent or divergent along with appropriate techniques to determine convergence or divergence.
• C14: PowSer. Identify the domain of a function defined as a power series.
• C15: TaySer. Generate a Taylor or Maclaurin series from a function.
• C16: Approx. Use Taylor’s formula to approximate values within appropriate margins of error.

## Supporting Standards

• S01: LogExpPrf. Derive properties of the logarithmic and exponential functions from their definitions.
• S02: HypPrf. Prove hyperbolic function identities.
• S03: TrigId. Integrate products of trigonometric functions by applying trigonometric identities.
• S04: TrigSub. Use trigonometric substitution.
• S05: PartFrac. Use partial fractions to integrate rational functions.
• S06: CrossSect. Use cross-sectioning to express a volume as a definite integral.
• S07: WorkDiff. Use the work differential to express the work done in pumping a tank of liquid as a definite integral.
• S08: ParamAppl. Parametrize a curve to find arclengths, surface areas, and slopes.
• S09: PolarAppl. Use polar coordinates to express an arclength or area as a definite integral.
• S10: SeqForm. Define and use explicit and recursive formulas for sequences.
• S11: GeoAlt. Determine if a geometric series or alternating series is convergent or divergent.
• S12: IntTest. Use the integral test to determine series convergence.
• S13: RatioRoot. Use the ratio and root tests to determine series convergence.
• S14: CompTests. Use the comparison tests to determine series convergence.
• S15: PowSerConv. Find a power series converging to a function.
• S16: TaySerConv. Prove the convergence of a Taylor or Maclaurin Series using Taylor’s Formula.