Math's Core 1

Math's Core 1

1. Quadratic Equations

   • ax+by+c=0
   • quadratic formula
   • Completing the Square

2. Differentiation

   • Second derivate
     • if positive its the minimum
     • if negative its the maximum
     • if it equals 0 then its the point of reflection
   • gradient
   • tangent
   • normals
   • stationary points

3. Integration

   • area under a curve

4. Surds

5. Graphs

6. Polynomials

7. inequalities

   • linear
   • quadratic

8. Remainder Theorem

9. Factor Theorem

10. Translations

    • if part of the equation, e.g. in the bracket, its translated on the x axis
    • if not part of the equation, e.g. not in the bracket its a translation in the y axis.

11. Discriminant

    • b-4ac<0 NO SOLUTIONS
    • b-4ac=0 2 SOLUTIONS
    • b-4ac>0 1 SOLUTION

12. Simultaneous Equations

13. Algebraic division

14. Coordinate Geometrey

    • Straight Lines
      • Perpendicular
      • Parallel
      • ax+by+c=0
      • y-y1=m(x-x1)
      • y=mx+c
      • midpoint
      • gradient
      • distance
    • Circles
      • complete the square to find centre and radius of circle
      • tangent
      • normal
      • (x-a)+(y-b)=r