ADVANCED HIGHER COURSE OUTLINE

CLICK HERE FOR A THE MADRAS COURSE DESCRIPTOR

 

Calculus

Algebra

June
(3 weeks)

Differentiation (6)

Binomial theorem (4)
Partial fractions (3)

Summer Holidays

Aug – Oct
(6½ weeks)

Differentiation continued (9)
Properties of function (7)

Sequences and series (5)
Summations and Mathematical proof (5 )

October Holidays

Oct – Dec
(9 weeks)

Integration (10)

First Order Differential equations (5)

Complex numbers (8)
Direct and Indirect proof (3)
Number theory (3)
Introduction to matrices (4)

Christmas Holidays

Jan – Feb
(3 weeks)

Second order Differential equations (4)

Matrices and systems of equations (6)

Prelims

Feb – Mar
(7 weeks)

Applications of calculus (10):
Rectilinear motion
Optimisation
Volumes of revolution
Maclaurin series

Vectors (13)

Easter Holidays

Apr
(4 weeks)

Course revision during Easter holidays and first two weeks of study leave – support available

 

COURSE NOTES

 

PUPILS INFORMATION SHEET

REVISION MATERIALS