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Further Pure Mathematics 

Format:

(Live Online)

Duration:

40 weeks

Application Fee:

RS 2,000

(Domestic)
USD 35

(International)

Monthly Fee:

RS 6,950

(Domestic)
USD 65

(International)

Unit F1:

33.3% of total iAS

Unit F2:

33.3% of total iAL

Unit F3:

33.3% of total iAL

Examination overview:

F1: Prerequisites -

A knowledge of the specification for C12, its prerequisites, preambles and

associated formulae, is assumed and may be tested.

It is also necessary for students:

  • to have a knowledge of location of roots of f(x) 5 0 by considering changes of sign of f(x) in an interval in which f(x) is continuous

  • to have a knowledge of rotating shapes through any angle about (0, 0)

  • to be able to divide a cubic polynomial by a quadratic polynomial

  • to be able to divide a quartic polynomial by a quadratic polynomial.

​

The examination will consist of one 1 1/2 hour paper. It will contain about nine

questions of varying length. The mark allocations per question will be stated on

the paper. All questions should be attempted.​


F2: Prerequisites

A knowledge of the specifications for C12, C34 and F1, their prerequisites,

preambles and associated formulae, is assumed and may be tested.

​

The examination will consist of one 1 1/2 hour paper. It will contain about eight

questions of varying length. The mark allocations per question will be stated on

the paper. All questions should be attempted.

​

Questions will be set in SI units and other units in common usage.

 

F3: Prerequisites -

A knowledge of the specifications for C12, C34 and F1, their prerequisites,

preambles and associated formulae, is assumed and may be tested.

 

Examination The examination will consist of one 1 1/2 hour paper. It will contain about eight

questions of varying length. The mark allocations per question will be stated on

the paper. All questions should be attempted.

Unit F1: Content Overview - Duration 12 Weeks

​

Complex numbers; roots of quadratic equations; numerical solution of

equations; coordinate systems; matrix algebra; transformations using matrices;

series; proof.

​

  1. Complex numbers​

  2. Roots of quadratic equations

  3. Numerical solution of equations

  4. Coordinate systems

  5. Matrix algebra

  6. Transformations using matrices

  7. Series

  8. Proof

 

Unit F2: Content Overview - Duration 12 Weeks

​

Inequalities; series; further complex numbers; first order differential equations;

second order differential equations; Maclaurin and Taylor series; Polar

coordinates.

​

  1. Inequalities

  2. Series

  3. Further complex numbers

  4. First order differential equations

  5. Second order differential equations

  6. Maclaurin and Taylor series

  7. Polar coordinates

​

Unit F3: Content Overview - Duration 12 Weeks

​

Hyperbolic functions; further coordinate systems; differentiation; integration;

vectors; further matrix algebra.

​

  1. Hyberbolic functions

  2. Further coordinate systems

  3. Differentiation

  4. Integration

  5. Vectors

  6. Further matrix algebra

​

For details on each of the Units of Core Mathematics please read through this 

​

​

 
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