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AS PURE MATHS REVISION NOTES. 1 SURDS. • A root such as √3 that cannot be written exactly as a fraction is IRRATIONAL • An expression that involves irrational roots is in SURD FORM e.g. 2√3 • 3 + √2 and 3 - √2 are CONJUGATE/COMPLEMENTARY surds – needed to rationalise the denominator. SIMPLIFYING.
kloga m = loga mk. Write the following in the form alog 2 where a is an integer 3log 2 + 2log 4 – 1⁄2log16. Method 1 : log 8 + log 16 – log 4 = log (8×16 ) = log 32 = 5log 2. 4. Method 2 : 3log 2 + 4log 2 – 2log 2 = 5log 2. An equation of the form ax = b can be solved by taking logs of both sides.
On this page you will find a complete set of lesson notes for the A Level Maths syllabus as taught from September 2017. These notes are lessons delivered by myself to my own students so if you have missed any lessons or just feel the need to brush up, please take a look.
Chapter 1: Quadratics 1.1 Solving quadratic equations by factorisation You already know the factorisation method and the quadratic formula method to solve quadratic equations algebraically. This section consolidates and builds on your previous work on solving quadratic equations by factorisation.
CALCULUS notes for A-LEVEL Mathematics and Further Mathematics (May 2021) This document is a self contained set of lecture notes for A level Mathematics and Further Mathematics. These notes are maintained by Hugh Murrell and available for free as a pdf document from: https://hughmurrell.github.io/.
CIE A Level Maths: Pure 3 Revision Notes. Concise resources for the CIE A Level Maths: Pure 3 course. 1. Algebra & Functions. 1.1 Modulus Functions. 1.1.1 Modulus Functions - Sketching Graphs. 1.1.2 Modulus Functions - Solving Equations. 1.2 Polynomials. 1.3 Partial Fractions. 1.4 Further Modelling with Functions. 1.5 General Binomial Expansion. 2.
24 mar 2023 · Cambridge International AS and A Level Mathematics (9709) Notes. PapaCambridge provides Cambridge International AS and A Level Mathematics (9709) Notes and Resources that includes topical notes, unit wise notes, quick revision notes, detailed notes and a lot more.
