Mathematics: Core 4

declanlarkins
Mind Map by declanlarkins, updated more than 1 year ago More Less
declanlarkins
Created by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
declanlarkins
Copied by declanlarkins about 7 years ago
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Description

A-level Maths (Core 4) Mind Map on Mathematics: Core 4, created by declanlarkins on 01/21/2014.

Resource summary

Mathematics: Core 4
  1. Algebra and Graphs
    1. Divide polynomials
      1. Quotient
        1. Remainder
        2. Simplify rational expressions
          1. Partial fractions
            1. Binomial expansion

              Annotations:

              • \((1+x)^n\)
              1. Parametric equations
                1. Converting between Cartesian and parametric
              2. Differentiation and Integration
                1. Derivatives of sinx, cosx, tanx
                  1. Implicit and parametric differentiation
                    1. Integration of trig functions
                      1. Using trig relations to allow integration
                        1. Using partial fractions to allow integration
                          1. recognise integrals of the form f'(x) / f(x)
                            1. Integration by parts
                              1. Link to product rule
                              2. Integration by substitution
                              3. First order differential equations
                                1. Formulate differential equations from a situation
                                  1. Including constant of proportionality
                                  2. Use integration to find a general solution
                                    1. Use an initial condition to find a particular solution
                                      1. Interpret the solution in terms of the initial problem
                                      2. Vectors
                                        1. Use standard notations
                                          1. Addition and subtraction and scalar multiplication
                                            1. Interpret geometrically
                                            2. Unit vectors, position vectors, displacement vectors
                                              1. Magnitude
                                                1. Scalar product
                                                  1. Angle between vectors
                                                  2. Equation: r=a + tb
                                                    1. Parallel, intersect or skew
                                                      1. Point of intersection
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