**Assessment Dates Problem Solving Rubric**

- Estimate limits of functions graphically and numerically
- Determine limits of functions algebraically
- Apply concepts of continuity (including the intermediate value theorem)
- Applying the definition of derivative

- Calculating and estimating derivatives
- Calculate derivatives using chain rule
- Applying the Mean Value Theorem

- Solving problems involving rectilinear motion
- Solve problems involving related rates
- Solve problems involving optimization
- Use derivatives to analyze properties of a function
- Analyze various representations of functions using derivatives

- Recognize antiderivatives of basic functions
- Recognize antiderivatives of advanced functions
- Approximate a definite integral
- Calculate a definite integral using areas and properties
- Use the Fundamental Theorem of Calculus to analyze functions
- Evaluate an improper integral or show that an improper integral diverges, using L’Hopital when appropriate.

- Use and interpret the definite integral to solve problems in various contexts
- Estimate solutions to differential equations using Euler’s method and slope fields.
- Apply definite integrals to problems involving motion
- Apply definite integrals to problems involving area and volume
- Analyze differential equations and obtain general and specific solutions including logistic functions

- Determine whether a series converges or diverges
- Construct & use Taylor polynomials
- Determine or estimate the sum of a series using error
- Write a power series representing a given function and determine the radius and interval of convergence of a power series

- Calculate the derivatives of vectors, parametric, and polar functions
- Use derivatives to analyze the particle motion using vectors and parametric functions
- Use the definite integrals to find the distance & position of a particle moving along a curve given by a parametric of a vector values functions
- Find the area bounded by a polar curve and arc length of a curve defined parametrically

- Cumulative Assessment of Standards