ModelCourses/Reform Calculus
Revision as of 11:27, 6 August 2012 by Anneke Bart (talk | contribs)
This calculus model covers the entire calculus sequence from a reform point of view. A specific course can be created from this mega-course by choosing choosing the appropriate topics (and deleting the rest).
- Properties of elementary functions
- Find limits.
- Concepts of continuity and differentiability
- Symbolically compute derivatives.
- Find derivatives graphically and numerically.
- Solve optimization problems
- Solve related rates problems
- Local linearity
- The geometric interpretation of the integral
- Riemann Sums.
- Integrate basic functions.
- Fundamental theorem of calculus.
- Symbolically integrate functions using a variety of techniques.
- Find integrals numerically.
- Determine if an improper integral converges or diverges.
- Compute volumes of rotation
- Apply knowledge of integration in an applied setting.
- Compute Taylor and McLaurin Series.
- Determine if a sequence converges or diverges
- Determine if a series converges or diverges
- Solve simple differential equations