Which, if any, of the following topics are essential? What depth of coverage
is needed? When should essential topics be taught?
- Algebra: factoring, simplifying and manipulating rational functions;
factor theorem, remainder theorem, etc.
- Functions and their properties (without calculator): linear,
quadratic, polynomial, trigonometric, logarithmic, exponential.
- Geometry and trigonometry.
- Data analysis.
- Vectors and matrices.
- Limiting processes: sequences, series, limits, fractals.
- Derivatives, integrals.