HOME 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