Maths AS paper 1&2

• Gradient of the curve at point P(x,y)

  Gradient of a curve signals to differentiation
• b^2 -4ac <0 (Discriminant)

  Not a solution as it is not a real root. It is less than zero and does not touch the x-axis (Quadratic graphs)
• b^2-4ac =0 (Discriminant)

  Real root and equal. Therefore one root is repeated (Quadratic graph)
• b^2-4ac > 0 (Discriminant)

  Real root and distinct. Two distinct roots (Quadratic graph)
• Integration

  Add one to the power and then divide by the new power
• Differentiation

  Multiply by the power and then subtract one from the power
• Find the distance between 2 points

  Chapter 5 - Straight line graphs

  
• To find the equation of a line

  Chapter 6 - Circles

  
• How do u find the point of intersection

  Chapter 6 - circles

  
• Finding the midpoint of a line segment

  Chapter 6 - Circles

  
• Equation of a circle with a given radius

  Chapter 6 - Circles

  
• Different Form of the equation of a circle

  Chapter 6 - Circles

  
• Recap on the factor theorem

  Chapter 7 - Algebraic methods

  
• .... With equation y=x^3 (First principles)

  This means the brackets would be cubed not squared.

  
• Rules of Maximum and Minimum points

  Chapter 12 - differentiation