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Mathematics

Home > Mathematics > Extension 2 > Conics

Tutorials | Assessment | Resources

Tutorials

• 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.
• Implicit differentiation 
  A synopsis of the topic with six practice exercises with links to answers displayed using Flash.

Assessment

• A set of HSC past papers & advice on the examination
  Hints and answers from past exam papers (formerly '4 Unit') and past articles from Sydney Morning Herald advice to students.
• 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.
• Graphics calculator questions 
  A series of functions to view on the graphics calculator.
• More Challenging Questions 
  A series of five questions on a variety of conics with links to solutions.
• Revision of Extension 1 material: conics approach 
  A series of five questions with links to hints, solutions and more advanced questions.

Resources

• 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.
• 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)
• Parametric form of ellipse with area 
  A visual presentation of the approximate area within an ellipse.
• 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.