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Mathematics

Home > Mathematics > Extension 2 > Conics > Extension 2 - Conics

Conics

• Circles and other conic sections
  A synopsis of the topic with links to examples and graded exercises.
  
  
• Conic sections
  A synopsis of the topic, with some suggested investigations and historical background.
  
  
• Conic sections
  A synopsis of the topic, with some suggested investigations and historical background.
  
  
• Conic sections (extremely visual)
  A synopsis of conic sections with links to properties of the parabola, ellipse and hyperbola.
  
  
• Conic sections overview (great topic revision)
  A synopsis of the topic with many images to support the explanations.
  
  
• Conics mini-test, emphasis on circles
  A set of five questions with an emphasis on circles that have links to answers and more advanced questions.
  
  
• Effect of eccentricity (polar form)
  A visual presentation of the effect of the eccentricity on a polar function.
  
  
• Ellipses (extremely visual)
  A synopsis of the topic with many images to support the explanations.
  
  
• Focus-directrix view of conics
  A synopsis of the focus-directrix concept for the ellipse and hyperbola.
  
  
• Hyperbola example
  A visual presentation of a function written in Cartesian form.
  
  
• Hyperbolae (extremely visual)
  A synopsis of the topic with many images to support the explanations.
  
  
• Illustration of implicit differentiation
  An interactive demonstration of performing implicit differentiation. (MathView)
  
  
• Implicit differentiation
  A synopsis of the topic with six practice exercises with links to answers displayed using Flash.
  
  
• More Challenging Questions
  A series of five questions on a variety of conics with links to solutions.
  
  
• Parametric form of ellipse with area
  A visual presentation of the approximate area within an ellipse.
  
  
• Revision of Extension 1 material: conics approach
  A series of five questions with links to hints, solutions and more advanced questions.
  
  
• The circle as a conic
  An interactive visualisation of the circle that permits the user to change the value of the parametric equation. (Java applet)
  
  
• The ellipse
  A visual presentation of the curve with historical facts and links to associated curves.
  
  
• The ellipse (java applet)
  An interactive visualisation of the ellipse with controls to change the values of the parametric equations.
  
  
• The hyperbola
  A visual presentation of the curve with historical facts and links to associated curves.
  
  
• The hyperbola (java applet)
  An interactive visualisation of the hyperbola with controls to change the values of the parametric equations.
  
  
• The rectangular hyperbola (families)
  A visual presentation of two families of hyperbolic functions.