Mathematics: Core 3

declanlarkins
Mind Map by , created over 5 years ago

A-level Maths (Core 3) Mind Map on Mathematics: Core 3, created by declanlarkins on 01/20/2014.

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declanlarkins
Created by declanlarkins over 5 years ago
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Mathematics: Core 3
1 Algebra and Functions
1.1 Function
1.2 Domain
1.3 Range
1.4 One-one
1.5 Inverse
1.6 Composition
1.7 Graphs
1.8 Transformations
1.8.1 Composition of transformations
1.9 Modulus

Annotations:

  • The modulus of a number is its magnitude or size, irrespective of if it has a plus or minus sign. For example,  mod(-6) = mod (+6) = 6
  • You also get graphs of modulus functions. The graph of f(x) is turned into the graph of mod (f(x)) by reflecting all the bits below the x-axis in the x-axis.

Attachments:

1.9.1 Solving equations and inequalities
1.10 Exponentials and logarithms
1.10.1 Graphs
1.10.2 Growth and decay
2 Trigonometry
2.1 Inverse trig functions
2.1.1 Graphical relationship to trig functions
2.2 Sec, Cosec, Cot
2.2.1 Solving equations for any angle
2.3 Identities
3 Differentiation and Integration
3.1 Derivatives of exponential and logarithms
3.2 Chain rule
3.3 Product rule
3.4 Quotient rule
3.5 dy/dx = 1/ (dx/dy)
3.6 Integrate exponentials and 1/x
3.7 Integrate with linear substitution
3.8 Volume of revolution
4 Numerical Methods
4.1 Roots of equations
4.1.1 Graphically
4.1.2 Sign change
4.2 Iterative formulae
4.3 Simpson's rule

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