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a-level investigations with omnigraph
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
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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
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