Y12 to y further maths sil to revise the topics that you have covered at the end of y12 and to give you an introduction to y further maths, we would like you to complete the following three tasks. Really useful for anyone teaching the edexcel fp2 course especially if you are new to it. Kinematics,centre of mass, kinetic and potential energy, momentum and. For any complex number, going round an entire circle i. Fp2 oct 2016 sdb 9 nth roots of a complex number the technique is the same for finding nth roots of any complex number. You can express a complex number in the form z rcos.
Fp2 further complex numbers click here for pdf booklet for mobius transformations lessons 20167 version. Two complex numbers are equal to each other if and only if their real parts are equal and their imaginary parts are equal, i. Sometimes a quadratic has no real roots and can only be solved by using complex numbers. This is a collection of revision questions for ocr fp1 adapted from aqa papers fp1 and fp2. Mfp2 gce mathematics unit further pure 2 5366, 5370, 6366. While jeanrobert argand 1768 1822 is generally credited with the discovery in 1806, the argand diagram also known as the argand plane was actually described by c. Y12 to y further maths sil new college, pontefract. Fortunately in fp2 you will learn a much faster way to do this. Write down a complex number, z, in modulusargument form as either zrcos. A level further maths 2017 old a level websites stuff. Theorem 251 suppose that r t is a vector valued function and. Alevel edexcel core pure further maths exam questions by. As we saw in the introduction, complex numbers can act as variables in quadratics just like any other number.
Pure further mathematics 2 revision notes studywise. The technique is the same for finding n th roots of any complex number. Jun 24, 2010 a complex number z is represented by the point p in the argand diagram. Edexcel has a weird further maths syllabus general discussion further pure 1 4 maths 2015 all exam boards fp2 complex numbers transformations fp2 of s2 fp2 compared to a2 maths fp2 aqa hardest topic in fp2. Edexcel igcse further pure mathematics 4pm1 e learning video. Candidates sitting fp2 may also require those formulae listed under further pure mathematics fp1 and core mathematics c1c4.
In spite of this it turns out to be very useful to assume that there is a number ifor which one has. You can express a complex number z with modulus r and. Ocr fp1 complex number practise teaching resources. Using complex numbers to represent regions on an argand diagram. Mark scheme results summer 2010 pearson qualifications. Alevel core pure further maths paper 1 and 2 questions organised by topic for edexcel. Alevel mathematicsocrfp1complex numbers wikibooks, open.
Further complex numbers edexcel fp2 the maths centre. A quick quiz to recap on the first bit of work we had done on complex numbers and then get them to figure out what we were doing next. Complex number operations lesson plans and activities project maths. Further pure 2 fp2 complex number loci 2 perpendicular bisector edexcel. If you see some unexpected behavior, you may want to use a supported browser instead. Make sure that you understand why this is the case, both algebraically using the sum of a geometric series and geometrically using vector addition.
Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. In addition to the resources listed here, i highly recommend the activities provided by the further maths support networkmei school login required, which include topic notes, worksheets, activities and assessments. Study materials for the complex numbers topic in the fp2 module for alevel further maths. We are working hard on a new platform for setting, building and monitoring homework. Fp2 june 2014 question 4a fp2 june 2012 question 3. Fp2 chapter 3 further complex numbers teaching resources. The value r is the modulus of the complex number, its distance from the origin 0,0 the argument is the angle the complex number makes with the positive x. Exam questions further complex numbers examsolutions. To build on and extend students knowledge of pure mathematics and associated techniques.
The locus l 2 consists of the points representing complex numbers z for which arg 1 2i 3 s z. A complex number z is represented by the point p in the argand diagram. The locus of the points represented by the complex number. Further complex numbers further complex numbers pearson. Further complex numbers edexcel further pure mathematics 2 fp2. Fp2 june 2011 question 7a loci in the complex plane. General discussion further pure 1 4 maths 2015 all exam boards further maths help fp2 complex numbers transformations further pure 2 or mechancis 1 hardest fp2 3 questions edexcel module choice fm how hard is fp3. Fp2 pure further mathematics 2 revision notes november. Paper references edexcel gce pearson qualifications. Examsolutions youtube video stuart the examsolutions guy 20200227t15. Complex numbers tutorial for a level further maths fp1. Mei structured mathematics module summary sheets fp2, further methods for advanced mathematics version b.
Written for teachers, teach further maths is a suite of high quality, fully animated colour alevel further maths powerpoint presentations, consisting of over 3000 slides. Inequalities, series, further complex numbers, first and second order differential equations, maclaurin and taylor series and polor coordinates. Most of the lessons teaching was done during the 10 questions. Know what is meant by the modulus of a complex number, and calculate it using pythagoras theorem. Written by a very experienced classroom practitioner, examiner and published maths author paul hunt, the presentations include demonstrations, proofs, worked examples, exercises, examstyle. Complex numbers are numbers that consist of a real number and an imaginary number. Exercise 3a, eleventh page in the booklet with 23 on bottom right corner of photocopy 3. With and being real numbers and being the imaginary unit. Complex numbers r a g express a complex number in the form rcos. Click here for recent fp2 exam questions on this topic click here for worked answers to all recent fp2 exam questions on this topic work covered in last. Aug 21, 2016 fp2 further complex numbers click here for pdf booklet for mobius transformations lessons 20167 version. Further pure mathematics fp2 issue 1 september 2009.
Further methods for advanced mathematics, fp2 specification ref. Given further that a and b satisfy the above equation, determine an equation for the. Gce further pure mathematics fp2 6668 summer 2010 question number scheme marks 6a imaginary axis rez 3 real axis vertical straight line through 3 on real axis b1 b1 2 b these are points where line x 3 meets the circle centre 3, 4 with radius 5. Exercise on exp and ln functions, ninth page in the booklet with 41 on bottom right corner of photocopy 2. Competence statements complex numbers modulus argument form. Unit fp2 further pure mathematics fp2 a2 2 series what students need to learn. Further pure 2 fp2 complex numbers 4 converting to exponential form further maths a level by ukmathsteacher. Further pure 2 key skills checklist how confident are you with each topic. Fp2j1 understand the polar modulusargument form of a complex number, and the definition of modulus, argument. Fp2 pure further mathematics 2 revision notes november 2014. Mfp2 gce mathematics unit further pure 2 5366, 5370, 6366, 6370.
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