Maths notes and study guides for Leaving Certificate Exam
Click on any of the Maths topics listed below for a comprehensive study guide:
Algebra 1 Factors and Quadratic Equations
Algebra 2 Fractions and Simultaneous Equations
Algebra 3 Roots of a Quadratic
Algebra 4 Absolute Value and Inequalities
Algebra 5 Functions and Factor Theorem
Algebra 6 Surds
Algebra 7 Indices
Algebra 8 Logs
Complex Numbers and Matrices Examples
Complex Numbers 1 Add, Subtract, Multiply ,Divide, Equality
Complex Numbers 2 Modulus, Square Roots, Polynomials
Complex Numbers 3 Cubics and Polar Form
Complex Numbers 4 De Moivre’s
Sequence and Series 1 Arithmetic
Sequence and Series 2 Arithmetic
Sequence and Series 3 Geometric
Sequence and Series 4 Geometric
Sequence and Series 5 Recurrance Relations, Partial Fractions (Telescoping)
Sequence and Series 6 Natural Number Series, Aro – Geo and Special Cases
Sequence and Series Need to Know 1
Sequence and Series Need to Know 2
Differentiation 1 First Principals and Basic Differentiation
Differentiation 2 Chain, Product, Quotient
Differentiation 3 Implicit, Inverse, Parametric and Higher Differentiation
Differentiation 4 Exponentials and Logs
Differentiation 5 Tangent and Increasing or Decreasing
Differentiation 6 Maximum and Minimum
Differentiation 7 Roots of Cubic and Newton – Raphson
Differentiation 8 Curve drawing and Rates of Change
Differentiation Need to Know 1
Differentiation Need to Know 2
Integration 1 Basic Integrals and Substitution
Integration 2 Definite Integrals and Fractions
Integration 3 Trigonometric Integrals and Exponential
Integration 4 Special Case and Area
Integration 5 Area
Integration 6 Area and Volume
line Examples Project Maths
Line 1 Junior Cert Material Project Maths
Line 2 More Junior Cert Material Project Maths
Line 3 Divide a line segment into ratios and Angle between two lines Project Maths
Line 4 Perpendicular Distance and words of importance Project Maths
Circle Examples Project Maths
Circle 1 Circle centre (0,0) Project Maths
Circle 2 Circle centre (h,k) and translations Project Maths
Circle 3 Equation of a circle Project Maths
Circle 4 Equation of a circle Project Maths
Circle 5 Point outside, common chords, touching circles Project Maths
Trigonometry Examples Project Maths
Trigonometry 1 Measure of angles and unit circle Project Maths
Trigonometry 2 Simple Equations and Compound Angles Project Maths
Trigonometry 3 Double Angles and Half Angles Project Maths
Trigonometry 4 Sum, Difference, Products and Equations Project Maths
Trigonometry 5 Solving Triangles Project Maths
Trigonometry 6 Non Right Angled Triangles Project Maths
Trigonometry 7 More Difficult Triangles Project Maths
Trigonometry 8 Identities Project Maths
Trigonometry 9 Inverse and Graphs Project Maths
Probability 1 Permutations Project Maths
Probability 2 Combinations Project Maths
Probability 3 Probability Project Maths
Statistics 1 Terminology Project Maths
Statistics 2 Mean Project Maths
