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A-level Evening School

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Courses

Further Pure Mathematics 

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.

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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.

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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.

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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

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Complex numbers; roots of quadratic equations; numerical solution of

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

series; proof.

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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

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

second order differential equations; Maclaurin and Taylor series; Polar

coordinates.

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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

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Unit F3: Content Overview - Duration 12 Weeks

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Hyperbolic functions; further coordinate systems; differentiation; integration;

vectors; further matrix algebra.

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1. Hyberbolic functions

2. Further coordinate systems

3. Differentiation

4. Integration

5. Vectors

6. Further matrix algebra

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

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