| There
are several investigations on each of the topics below. The investigations are
generally in increasing order of difficulty. Topics covered include:
|
1 Curve
sketching
- Straight lines
- Polynomials
- Rational polynomials
- Modulus functions
- Exponential functions
- Logarithmic functions
- Hyperbolic functions
- Other special functions
|
 |
2
Transformations of cartesian curves
- Geometric transformations
- Algebraic transformations
- General transformations
- Combinations
|
3
Trigonometry
- Curve sketching and equations
- Combinations of curves
- Approximations to curves
- Relationships
|
4
Calculus
- Gradient functions
- Differentiation
- Integration
- Differential Equations
|
5 Other
coordinate systems
- Polar curves
- Polar spirals
- Parametric curves
- Parametric conics
- Polar parametric curves
|
6
Power Series
- From power series to function
- Accuracy
- From function to power series
|
7
Vectors |