Revising Algebra

Date: Sun 28th Sept

Time: 9:30 - 12:30

Cost €50

• Algebraic Fractions

• Binomial Theorem

• Completing the Square

• Factor Theorem

• Discriminants

• Solving Polynomials

• Modular Equations

• Rational and Modular Inequalities

• Simultaneous Equations

• Exam Style Problem Solving Questions

Revising Logs and Indices

Date: Sun 12th Oct

Time: 9:30 - 12:30

Cost €50

• Indices

• Exponential Equations

• Exponential Graphs

• Logs

• Log Equations

• Log Graphs

• Exam Style Problem Solving Questions

Revising Coordinate Geometry - Line 

Date:  Sat 1st Nov

Time: 9:30 - 12:30

Cost €50

• Equation of Lines

• Slopes

• Angles between Lines

• X and Y Intercepts

• Dividing Lines into Ratios

• Intercepts

• Areas

• Perpendicular Lines

• Points of Intersection

• Translations

• Distance - point to Line

• Centroid/ Circumcentre/Midpoints/Orthocentre/Incentre

• Exam Style Problem Solving Questions

Revising Coordinate Geometry - Circle

Date: Sun 2nd Nov

Time: 9:30 - 12:30

Cost €50

• Equation of a Circle

• Points inside/ on / outside the circle

• Lines & Circles

• Tangents

• Chords

• Touching Circles

• Common Tangents

• Exam Style Problem Solving Questions

Teaching Full Topic of Functions

Date: Sun 30th Nov

Time: 9:30 - 1:30

Cost €60

• Defining Functions

• Function Notation

• Composite Functions

• Types of Functions - Injective/Bijective/Surjective

• Inverse Functions

• Continuity of Functions

• Linear/ Quadratic/ Cubic Functions

• Transformations of Functions

• Exponential Functions

• Log Functions

• Trig Functions

• A taste of some exam style questions...

Revising Trigonometry

Date: Sat 27th Dec

Time: 9:30 - 12:30

Cost €50

• SohCahToa

• Pythagoras Theorem

• Sine and Cosine Rule

• Trig Equations

• Tan and Slopes

• Trig Functions

• 9 Trig Identity Proofs

• Areas

• 3D Problems

• Exam Style Problem Solving Questions

Revising Differentiation

Date: Sun 28th Dec

Time: 10:00 - 01:00

Cost €50

• 1st Principles

• Product Rule

• Quotient Rule

• Chain Rule

• Trig Functions

• Turning Points

• Points of Inflection

• Increasing and Decreasing Functions

• Slopes of Tangent

• Graphs of Derived Functions

• Solving Rate of Change Problems

• Displacement/ Velocity/ Acceleration 

• Exam Style Problem Solving Questions

Revising Sequences & Series

Date: TBC

Time:10:00 - 01:00

Cost €50

• Patterns

• Arithmetic Sequences

• Arithmetic Series

• Sigma Notation

• Non-Linear/ Quadratic Sequences

• Cubic Sequences

• Exponential/ Geometric Sequences

• Geometric Series & Formal Proof

• Sum to Infinity of a Geometric Series

• Limits of Sequences

• Exam Style Problem Solving Questions

Revising Financial Maths

Date: TBC

Time: TBC

• Compound Interest/ Present & Future Values

• Interest Rates

• Depreciation / Net Book Value

• Net Present Value 

• Geometric Series and Finance

• Pensions

• Bonds

• Loans and Mortgages

• Derivation of Amortisation Formula

• Exam Style Problem Solving Questions

Revising  Complex No's & Number Systems

Date: TBC

Time: TBC

• Number Systems

• Definitions and Terminology

• Argand Diagrams - Modulus and Argument

• Adding, subtracting, multiplying and dividing

• Transformations

• Complex Equations/ Linear/ Quadratic/ Polynomials

• Conjugates

• Square Roots

• Polar Form - Multiplying and Dividing

• De Moivre's Theorem

• Exam Style Problem Solving Questions

Revising Integration

Date: TBC

Time: TBC

• Indefinite Integrals

• Polynomials

• Exponential Functions

• Trigonometric Functions

• Acceleration/ Velocity/ Speed

• Definite Integrals

• Finding Areas

• Trapezoidal Rule

• Average Value of a Function

• Exam Style Problem Solving Questions

Revising Statistics

Date: TBC

Time: TBC

• Sampling

• Measures of Location (Centre)

• Measures of Spread (Variability)

• Stem and Leaf Plots

• Histograms

• Distribution Shapes

• Scatter Plots and Correlations

• Normal Distributions / Z scores

• Central Limit Theorem

• Confidence Intervals

• Hypothesis Testing

• Exam Style Problem Solving Questions

Revising Geometry

Date: TBC

Time: TBC

• Terminology

• Lines, Angles and Degrees

• Triangles

• Quadrilaterals and Parallelograms

• Circles

• Enlargements

• Constructions

• Exam Style Problem Solving Practice

Revising          Area & Volume

Date: TBC

Time: TBC

• 2D Shapes - Squares, Rhombus, Circles, Triangles, Sectors

• Cylinders

• Rectangular Prisms

• Cones

• Spheres

• Pyramids

• Other Shapes

• Trapezoidal Rule

• Exam Style Problem Solving Practice

Revising Probability

Date: TBC

Time: TBC

• Fundamental Principle of Counting

• Permutations

• Combinations

• Probability

• Relative Frequency

• Probability and Set Theory

• Conditional Probability

• Independent Events/ Mutually Exclusive

• Expected Values

• Bernoulli Trials

• Normal Distributions

• Exam Style Problem Solving Questions

Revising all Formal Proofs & Theorems

Date: TBC

Time: TBC

• Number System Proofs

• Abstract Inequality Proofs

• De Moivres Theorem Derivation

• Trigonometry Formal Proofs

• Trigonometry Informal Proofs

• Geometry Theorems

• Sum of a Geometric Series Derivation

• Amortisation Formula Derivation