Easter Revision Course Information

Easter Revision Course Content

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Our four-day revision courses cover the syllabus in its entirety and will follow the outline below. Note that specific timings are not given as each group of students have different needs and may need longer/less time on particular topics given their strengths and weaknesses.

Day 1: Pure Maths

  1. Exponentials and Logs
    • Solving exponential equations
    • Solving logarithmic equations
    • Modelling with logarithms
  2. Trigonometry
    • Radians
    • Reciprocal trig functions (sec, cosec and cot)
    • Compound Angle Formulae
    • Double Angle Formulae
    • Small Angle Approximations
  3. Differentiation
    • Differentiation from First Principles
    • Chain, Product and Quotient Rules
    • Second Differential
    • Concave and convex functions
    • Points of Inflection
  4. Integration
    • With Partial Fractions
    • With Rational Functions
    • By parts, by substitution, standard integrals

Day 2: Pure Maths

  1. Proof 
    • Proof by deduction
    • Disproof by Counterexample
    • Proof by Exhaustion
    • Proof by Contradiction
  2. Numerical Methods
    • Change of sign
    • Newton-Raphson
    • Fixed Point Iteration
  3. Parametric Equations
    • Differentiation
    • Integration
  4.  Functions
    • Domain and range
    • The Modulus Function
    • Inverse of Functions
  5. Differential Equations
  6.  Sequences
    • Recurrence Relations
    • Arithmetic
    • Geometric
  7.  Circles
    • Equations
    • Tangents and Normals
    • Circle Sectors
  8. Binomial Expansion

Day 3: Statistics

  1. Statistical Diagrams
    • Histograms
    • Cumulative Frequency Diagrams
    • Other Statistical Diagrams
  2. Statistical Measures
    • Measures of Location
    • Measures of Spread
    • Outliers
  3. Binomial Distribution
    • Calculating Probabilities
    • Performing Hypothesis Tests
  4. Normal Distribution
    • Calculating Probabilities
    • Inverse Normal Distribution
    • Distribution of Sample Mean
    • Hypothesis Tests for Sample Mean
  5. Correlation and Linear Regression
    • Hypothesis tests for correlation
  6. Probability
    • Probability Diagrams
    • Independence and Mutual Exclusivity
    • Conditional Probability

Day 4: Mechanics

  1. Kinematics
    • S-T and V-T Graphs
    • SUVAT equations
    • Variable Acceleration
    • Projectiles
  2. Forces and Motion
    • F = ma
    • Coefficient of friction
    • Connected Particles
    • Forces on a slope
  3. Moments
    • Moments in 1 direction
    • Moments in 2 directions