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Introduction
Weekly sessions: year 2
Syllabus topics: year 2
YEAR 1
Sessions: year 2
It is suggested that students work on two topics each week: A Pure Mathematics topic from Unit 3, and an Applied Mathematics or modelling topic from Unit 4.
Unit 3
Week 1: Modulus functions
Week 2: Composite functions
Week 3: Inverse functions
Week 4: Differentiation chain rule
Week 5: Trigonometric identities
Week 6: Adding sine and cosine functions
Week 7: Partial fractions
Week 8: Cosecant, secant and cotangent
Week 9: Calculus of standard functions
Week 10: Integration by parts
Week 11: Parametric equations
Week 12: Arithmetic sequences
Week 13: Geometric sequences
Week 14: Binomial expansion
Week 15: Integration by substitution
Week 16: Vectors in three dimensions
Week 17: Proof
Week 18: Simultaneous equations
Week 19: Using radians
Week 20: Trigonometric equations
Week 21: Numerical integration
Week 22: Revision 1: Pure maths
Week 23: Revision 3: Pure maths
Week 24: Revision 5: Pure maths
Week 25: Revision 7: Pure maths
Unit 4
Week 1: Statistics: Conditional probability
Week 2: Mechanics: Variable acceleration in two dimensions
Week 3: Statistics: Normal distribution probabilities
Week 4: Mechanics: Projectiles
Week 5: Statistics: Normal hypothesis testing
Week 6: Modelling with trigonometry
Week 7: Statistics: Discrete probability distributions
Week 8: Forces and Newton's laws
Week 9: Statistics: Sampling and regression
Week 10: Differential equations
Week 11: Volumes of revolution
Week 12: Mechanics models
Week 13: Statistical models
Week 14: Exponential and logarithmic models
Week 15: Numerical methods for equations
Week 16: Moments
Week 17: Vector models
Week 18: Parametric models
Week 19: Sequence and series models
Week 20: Modelling with functions
Week 21: Using numerical methods
Week 22: Revision 2: Applied maths - mechanics
Week 23: Revision 4: Applied maths - statistics
Week 24: Revision 6: Applied maths - mechanics
Week 25: Revision 8: Applied maths - statistics