Team Discussion
Today’s discussion question comes from math tutor Robert Wear:
“I know it’s important to use the whiteboard,
Calculus: What concepts DON’T we cover?
While Yup covers most basic calculus concepts, occasionally we do receive calculus questions that fall outside of our range. To distinguish between basic and higher level calculus, we use the AP Calculus concept outline, which is divided across two courses: Calculus AB and Calculus BC. Currently, Yup only covers Calculus AB concepts. The following concepts fall under AP Calculus BC and are therefore outside of Yup’s range:
- Calculating derivatives of vector-valued functions, parametric functions, and functions in polar coordinates
- Using derivatives to determine velocity, speed or acceleration for a particle moving along curves given by parametric or vector-valued functions
- Using derivatives of polar functions to provide information about a given curve.
- Using definite integrals to determine displacement, distance, and position of a particle moving along a curve given by parametric or vector-valued functions
- Solving problems involving planar motion
- Using Euler’s method to approximate a solution or a point on a solution curve for differential equations
- Evaluating improper integrals or showing that improper integrals diverge
- Evaluating integrals using integration by parts or partial fractions
- Applying definite integrals to problems involving length of a curve
- Calculating areas bounded by polar curves with definite integrals
- Calculating the length of a planar curve using definite integrals
- Solving differential equations involving logistic growth
- Determining whether a series converges or diverges
- Determining or estimating the sum of a series
- Constructing and using Taylor polynomials
- Writing a power series to represent a given function
- Determine the radius and interval of convergence of a power series
As always, let us know what questions you have!
— Team Yup