Fp2 further complex numbers pdf

Candidates sitting fp2 may also require those formulae listed under further pure mathematics fp1 and core mathematics c1c4. Two complex numbers are equal to each other if and only if their real parts are equal and their imaginary parts are equal, i. Competence statements complex numbers modulus argument form. Alevel edexcel core pure further maths exam questions by. The meaning of conjugate, modulus, argument, real part, imaginary part and equality of complex numbers should be known. 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. Further methods for advanced mathematics, fp2 specification ref. Fp2 pure further mathematics 2 revision notes november 2014.

Fp2 oct 2016 sdb 9 nth roots of a complex number the technique is the same for finding nth roots of any complex number. A level further maths 2017 old a level websites stuff. Further pure 2 fp2 complex number loci 2 perpendicular bisector edexcel. Mfp2 gce mathematics unit further pure 2 5366, 5370, 6366, 6370. A level further mathematics core pure mathematics practice papers 15. The locus l 2 consists of the points representing complex numbers z for which arg 1 2i 3 s z. 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. Theorem 251 suppose that r t is a vector valued function and. It covers mainly solving equations and loci as these are the sections my students tend to struggle on. A complex number z is represented by the point p in the argand diagram. Mei structured mathematics module summary sheets fp2, further methods for advanced mathematics version b. Complex numbers r a g express a complex number in the form rcos. Sample chapter from oxford a level mathematics for edexcel. The locus of the points represented by the complex number.

Alevel core pure further maths paper 1 and 2 questions organised by topic for edexcel. Really useful for anyone teaching the edexcel fp2 course especially if you are new to it. Unit fp2 further pure mathematics fp2 a2 2 series what students need to learn. Fp2j1 understand the polar modulusargument form of a complex number, and the definition of modulus, argument. 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. 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. Further complex numbers edexcel fp2 the maths centre. Write down a complex number, z, in modulusargument form as either zrcos. Paper references edexcel gce pearson qualifications. Fp2 pure further mathematics 2 revision notes november. Complex numbers of the form x 0 0 x are scalar matrices and are called.

Mfp2 gce mathematics unit further pure 2 5366, 5370, 6366. Alevel mathematicsocrfp1complex numbers wikibooks, open. 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. Study materials for the complex numbers topic in the fp2 module for alevel further maths. Exercise on exp and ln functions, ninth page in the booklet with 41 on bottom right corner of photocopy 2. 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 further complex numbers click here for pdf booklet for mobius transformations lessons 20167 version. Further pure 2 key skills checklist how confident are you with each topic.

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. 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. Using complex numbers to represent regions on an argand diagram. Complex number operations lesson plans and activities project maths. Most of the lessons teaching was done during the 10 questions. Examsolutions youtube video stuart the examsolutions guy 20200227t15. 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. Further complex numbers edexcel further pure mathematics 2 fp2. Further complex numbers further complex numbers pearson. Inequalities, series, further complex numbers, first and second order differential equations, maclaurin and taylor series and polor coordinates.

Make sure that you understand why this is the case, both algebraically using the sum of a geometric series and geometrically using vector addition. The technique is the same for finding n th roots of any complex number. To build on and extend students knowledge of pure mathematics and associated techniques. Edexcel further pure mathematics 2 fp2 edexcel igcse further pure maths.

Edexcel igcse further pure mathematics 4pm1 e learning video. In spite of this it turns out to be very useful to assume that there is a number ifor which one has. We are working hard on a new platform for setting, building and monitoring homework. Ocr fp1 complex number practise teaching resources. Further pure mathematics fp2 issue 1 september 2009. Exercise 3a, eleventh page in the booklet with 23 on bottom right corner of photocopy 3. Pure further mathematics 2 revision notes studywise. Complex numbers are numbers that consist of a real number and an imaginary number. Complex numbers tutorial for a level further maths fp1. 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. Complex numbers edexcel further pure mathematics 1 fp1 what students need to learn. Know what is meant by the modulus of a complex number, and calculate it using pythagoras theorem. Fp2 june 2011 question 7a loci in the complex plane.

Mark scheme results summer 2010 pearson qualifications. You can express a complex number z with modulus r and. For any complex number, going round an entire circle i. As we saw in the introduction, complex numbers can act as variables in quadratics just like any other number. Jun 24, 2010 a complex number z is represented by the point p in the argand diagram. Exam questions further complex numbers examsolutions. Y12 to y further maths sil new college, pontefract. Fp2 june 2014 question 4a fp2 june 2012 question 3. This is a collection of revision questions for ocr fp1 adapted from aqa papers fp1 and fp2. With and being real numbers and being the imaginary unit. Aug 21, 2016 fp2 further complex numbers click here for pdf booklet for mobius transformations lessons 20167 version. Written by a very experienced classroom practitioner, examiner and published maths author paul hunt, the presentations include demonstrations, proofs, worked examples, exercises, examstyle.

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. Pure further mathematics 2 revision notes november 2014 2 fp2 nov 2014 sdb further pure 2 1 inequalities. Sometimes a quadratic has no real roots and can only be solved by using complex numbers. Kinematics,centre of mass, kinetic and potential energy, momentum and. You can express a complex number in the form z rcos. Fortunately in fp2 you will learn a much faster way to do this.