# Leaving Cert Maths Mind Maps

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

### Algebra

• Linear Equations
• Algebraic Fractions
• Polynomials
• 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)

• 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