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Edexcel International A Level Further Mathematics Tuition Online (IAL)

Pearson Edexcel IAL Further Mathematics: Further Pure FP1 to FP3 and the applied units that sit beyond the Mathematics award.

Afterkelas teaches Pearson Edexcel International A Level Further Mathematics online to pre-university students in Malaysia. Tutors teach live in English, 1-to-1 or in small groups, across the Further Pure units and the applied units on the student's entry.

What Edexcel IAL Further Mathematics covers

The Further Pure units and the kinds of content each covers. Students take them alongside the Mathematics units, and the two awards cannot count the same unit twice.

Further Pure units

3 topics
  1. FP1: complex numbers, roots of quadratic equations, numerical methods, coordinate systems, matrix algebra, series and proof by induction
  2. FP2: inequalities, series, further complex numbers, first and second order differential equations, Maclaurin and Taylor series, polar coordinates
  3. FP3: hyperbolic functions, further coordinate systems, differentiation, integration, vectors and further matrix algebra

Applied units

3 topics
  1. Mechanics M1 to M3
  2. Statistics S1 to S3
  3. Decision Mathematics D1

Who takes Further Mathematics

Further Mathematics suits students who find Mathematics comfortable and are heading for mathematics, physics, engineering or computer science, where it is often preferred and sometimes required. It covers ground those degrees start with, from complex numbers and matrices to differential equations.

The unit structure adds a planning question: which units count towards Mathematics and which towards Further Mathematics. The school usually decides, and tutors plan the order so each unit builds on what has already been sat.

Where marks are lost

Further Pure units reward rigour: proofs by induction with every stage written, complex-number answers in the form the question asks for, and algebra carried accurately through long questions. Students practise checking intermediate results before building on them.

Applied units at M2, M3, S2 and S3 levels assume the earlier units are secure. Students who resit a weak M1 or S1 before moving on usually find the later units far easier.

Who teaches IAL Further Mathematics

Tutors are university students and graduates with strong mathematics results, screened before they teach, and matched to the units and series the student is entered for. An academic advisor asks for the unit schedule and results so far.

A question, worked through

An FP1-style complex numbers question. Multiplying by the conjugate is the step that turns 1/z into the required form.

Question

Given z = 3 + 4i, find (a) |z|, (b) arg z in radians to 3 significant figures, and (c) 1/z in the form a + bi.

  1. |z| = √(3² + 4²) = √25 = 5.
  2. z lies in the first quadrant, so arg z = arctan(4 ÷ 3) = 0.927 radians.
  3. For 1/z, multiply top and bottom by the conjugate 3 − 4i: 1/z = (3 − 4i) ÷ ((3 + 4i)(3 − 4i)) = (3 − 4i) ÷ 25.
  4. So 1/z = 0.12 − 0.16i.

Answer (a) 5. (b) 0.927 rad. (c) 0.12 − 0.16i.

Frequently asked questions

Can my child take Further Mathematics without strong Mathematics results?

It is possible but hard, because the Further units assume fluent algebra and calculus. A student with a weak Mathematics unit usually gains more by securing it first.

How are units shared between Mathematics and Further Mathematics?

Each unit can count towards only one award. Schools set the combination, and the academic advisor checks it on the student's entry so classes cover the right units in the right order.

How is it different from Cambridge Further Mathematics?

Cambridge 9231 is examined through four papers, while Edexcel IAL Further Mathematics is built from Further Pure and applied units sat across series, with resits.

How much does Edexcel IAL Further Mathematics tuition cost?

The fee depends on the format (1-to-1 or a small group), how many classes a week and the tutor, so there is no single figure. Send an academic advisor the units on the student's entry, the series and the results so far on WhatsApp, and you will get the current packages and a quote, usually within one working day.

Written by

Mifzal Salihin

Founder of Afterkelas, Tokoh Siswa Kebangsaan 2022, MSc Sustainable Energy Futures, Imperial College London

Reviewed on

Sources

  1. Pearson Edexcel International A Level Mathematics and Further Mathematics
  2. Pearson Edexcel International Advanced Levels

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