Topics Covered on the CCC
The Clemson Calculus Challenge potentially covers topics from a standard first year calculus course (a rough approximation to the Calculus AP exam AB and BC), with most of the emphasis being on the first semester (approximately AB). Mathematical skill and insight (over formal knowledge) are emphasized in the creation of the exams. The following is a list of topics that will be considered “fair game” for coverage on the exams in the Clemson Calculus Challenge. This list is painted in broad strokes, but the exams are designed so that the problems can be solved (perhaps with a bit of ingenuity) using the techniques/concepts below.
- The concept of a limit (formally and informally)
- Limit laws, tangent lines, and general applications of limits
- Continuity
- Differentiability, theoretical and practical applications of the derivative
- Differentiation rules and practice
- Applications of differentiation
- Integration
- Basic techniques and applications of integration
- Basic differential equations and modeling
- Sequences and Series
- Parametric and Polar Form