Math's Core 1

Description

Mind Map on Math's Core 1, created by mitchcharlie on 17/03/2015.
mitchcharlie
Mind Map by mitchcharlie, updated more than 1 year ago
mitchcharlie
Created by mitchcharlie almost 9 years ago
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Resource summary

Math's Core 1
  1. Quadratic Equations
    1. ax+by+c=0
      1. quadratic formula
        1. Completing the Square
        2. Differentiation
          1. Second derivate
            1. if positive its the minimum
              1. if negative its the maximum
                1. if it equals 0 then its the point of reflection
                2. gradient
                  1. tangent
                    1. normals
                      1. stationary points
                      2. Integration
                        1. area under a curve
                        2. Surds
                              1. Graphs
                                1. Polynomials
                                  1. inequalities
                                    1. linear
                                      1. quadratic
                                      2. Remainder Theorem
                                        1. Factor Theorem
                                          1. Translations
                                            1. if part of the equation, e.g. in the bracket, its translated on the x axis
                                              1. if not part of the equation, e.g. not in the bracket its a translation in the y axis.
                                              2. Discriminant
                                                1. b-4ac<0 NO SOLUTIONS
                                                  1. b-4ac=0 2 SOLUTIONS
                                                    1. b-4ac>0 1 SOLUTION
                                                    2. Simultaneous Equations
                                                      1. Algebraic division
                                                        1. Coordinate Geometrey
                                                          1. Straight Lines
                                                            1. Perpendicular
                                                              1. Parallel
                                                                1. ax+by+c=0
                                                                  1. y-y1=m(x-x1)
                                                                    1. y=mx+c
                                                                      1. midpoint
                                                                        1. gradient
                                                                          1. distance
                                                                          2. Circles
                                                                            1. complete the square to find centre and radius of circle
                                                                              1. tangent
                                                                                1. normal
                                                                                  1. (x-a)+(y-b)=r
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