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496901
Mathematics: Core 4
Mind Map by
declanlarkins
, updated more than 1 year ago
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declanlarkins
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Description
A-level Maths (Core 4) Mind Map on Mathematics: Core 4, created by declanlarkins on 01/21/2014.
No tags specified
core 4
maths
maths
core 4
a-level
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Resource summary
Mathematics: Core 4
Algebra and Graphs
Divide polynomials
Quotient
Remainder
Simplify rational expressions
Partial fractions
Binomial expansion
Annotations:
\((1+x)^n\)
Parametric equations
Converting between Cartesian and parametric
Differentiation and Integration
Derivatives of sinx, cosx, tanx
Implicit and parametric differentiation
Integration of trig functions
Using trig relations to allow integration
Using partial fractions to allow integration
recognise integrals of the form f'(x) / f(x)
Integration by parts
Link to product rule
Integration by substitution
First order differential equations
Formulate differential equations from a situation
Including constant of proportionality
Use integration to find a general solution
Use an initial condition to find a particular solution
Interpret the solution in terms of the initial problem
Vectors
Use standard notations
Addition and subtraction and scalar multiplication
Interpret geometrically
Unit vectors, position vectors, displacement vectors
Magnitude
Scalar product
Angle between vectors
Equation: r=a + tb
Parallel, intersect or skew
Point of intersection
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