Leaving Cert Maths Mind Maps

Leaving Cert Maths Mind Maps 2017-07-02T06:51:45+00:00

Algebra

  • Linear Equations
  • Algebraic Fractions
  • Polynomials
  • Quadratic Equations
  • Indices & Powers
  • Surds & Irrational Equations
  • Logarithms
  • Inequalities
  • Modulus Equations

Complex Numbers

  • Basics of Complex Numbers
  • Polar Form of Complex Numbers *
  • DeMoivres Theorem *
  • Roots of a Complex Number *
  • Cubed Roots of Unity *

* (Higher Level Only)

Matrices

  • Properties of Matrices
  • Matrix Equations

Sequences and Series

  • Sequences and Limits
  • Finite/Infinites Series
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series

Binomial Theory (*)

  • Factorials and Binomial Coefficients
  • Bionomial Therorem
  • General Term

Differentation

  • Proofs – First Principles
  • Proofs – Various Rules
  • Differentiation Methods and by Rule
  • Applications of Differentiation – Rates of Change
  • Applications of Differentiation – Curves
  • Cubic Equations and Roots *
  • Newton-Raphson Method *

(* Higher Level Only)

Proof by Induction (*)

  • Sum of a Series
  • Divisibility Statements
  • Inequalities

Integration (*)

  • Basic Integration
  • Applications of Integration
  • Area & Volume
  • Integration Curves
  • Trigonometric Integrals

Geometry

  • Proofs & Constructions
  • Applications of Geometry
  • 2 D Shapes
  • 3 D Objects *

(*Higher Level Only)

Trigonometry

  • Trig Graphs
  • Proofs
  • Trigonometry Identities *
  • Trigonometry Rules
  • Applications of Trig
  • 2D Shapes
  • 3D Objects *

*(Higher Level Only)

Co-ordinate Geometry

  • The Line
  • The Circle

Statistics

  • Statistics Theory
  • Graphs & Representation
  • Measures of Central Tendency
  • Correlation

Probability

  • Counting
  • Concepts of Probability
  • Outcomes of Random Processes

Arithmetic (Ordinary Level Only)

  • Money
  • Numbers
  • Distance, Speed and Time

 

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