AQA AS & a Level Further Mathematics

Total Page：16

File Type：pdf, Size：1020Kb

AQA AS & A Level Further Mathematics Course Overview Further Mathematics is an extra A Level on top of the ordinary A Level Mathematics and is aimed at those students who really enjoy and excel at mathematics.. It is very useful for anyone thinking of studying mathematics at university. Course Content Year 12: You will study Pure Maths and two options from Year 13: You will study Pure Maths and two options from Mechanics, Statistics or Discrete Mathematics: Mechanics, Statistics or Discrete Mathematics: Pure Maths: complex numbers, matrices, polar Pure Maths: extends all the work in Year 12 and includes coordinates, hyperbolic functions, further algebra and differential equations, trigonometry, numerical methods functions, further vectors, further calculus and coordinate geometry Mechanics: dimensional analysis, momentum and Mechanics: extends all the work in Year 12. collisions, work energy and power, circular motion. Statistics: extends all the work in Year 12 and includes Statistics: discrete random variables, Poisson the exponential distribution and inference. distribution, Type I and II errors and power of a test, continuous random variables. Discrete: extends all the work in Year 12. Discrete: graphs, networks, flow, linear programming, critical path analysis, game theory, group theory. Assessment AS Level is awarded based on your performance in two equally weighted papers usually taken at the end of year 12. Paper 1: 100% pure maths. Paper 2: two equal sections from the three options of mechanics, statistics or discrete maths. A Level is awarded based on your performance in three equally weighted papers usually taken at the end of year 13. Paper 1: 100% pure maths. Paper 2: 100% pure maths. Paper 3: two equal sections from the three options of mechanics, statistics or discrete maths. Entry Requirements A grade 7 or higher in GCSE Mathematics. To progress to Y13, you need at least a grade C in AS Further Mathematics. Course Contact Barry Saccone [email protected] Andy Biesterfield [email protected] .

Copy Link

Recommended publications

A Level Further Mathematics Specification
A Level Further Mathematics Specification Pearson Edexcel Level 3 Advanced GCE in Further Mathematics (9FM0) First teaching from September 2017 First certification from 2019 Issue 3 Summary of Pearson Edexcel Level 3 Advanced GCE in Further Mathematics Specification Issue 3 changes Summary of changes made between previous issue and this current Page number/s issue Content and assessment overview - information about choosing optional 4 papers added in The tables showing the assessment overview for the optional papers has been 5 updated. Paper 1 and Paper 2: Core Pure Mathematics, Section 2.1 – correction to the 9 guidance for deducing roots for cubics. Paper 4A: Further Pure Mathematics 2, Section 2.1 – dy in the integral 23 changed to dx Paper 3B: Further Statistics 1, Section 4.1 – changed to bold text 27 Student malpractice – How to report candidate malpractice updated 56 Staff/centre malpractice – How to report staff/centre malpractice updated 56 Awarding and reporting – information added about taking more than two 56 optional papers. Appendix 9: Entry codes for optional routes – information about permitted 85 entry routes and entry codes updated. Earlier issues show previous changes. If you need further information on these changes or what they mean, contact us via our we bsite at: qualifications.pearson.com/en/support/contact-us.html. Contents 1 Introduction 2 Why choose Edexcel A Level Further Mathematics? 2 Supporting you in pla nning and imple me nting this qualific ation 3 Qua lif ic ation at a glanc e 4 2 Subject content and
[Show full text]
Guide to Prior Learning for Paper 4 Further Probability and Statistics Cambridge International AS & a Level Further Mathematics 9231
Guide to prior learning for Paper 4 Further Probability and Statistics Cambridge International AS & A Level Further Mathematics 9231 For assessment from 2020 Version 1 Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge. UCLES retains the copyright on all its publications. Registered centres are permitted to copy material from this booklet for their own internal use. However, we cannot give permission to centres to photocopy any material that is acknowledged to a third party even for internal use within a centre. Contents Routes through the 2020 syllabus for AS & A Level Mathematics and AS & A Level Further Mathematics 2 What is required from 9709 Probability & Statistics for 9231 Further Probability & Statistics? .........................................................................................................3 Guide to prior learning for Paper 4 Further Probability and Statistics 2 Routes through the 2020 syllabus for AS & A Level Mathematics and AS & A Level Further Mathematics AS & A Level Mathematics (9709) AS & A Level Further Mathematics (9231) AS Level Mathematics A Level Mathematics AS Level Further Mathematics A Level Further Mathematics PaperPaper 1: 1: Pur Puree PaperPaper 1: 2: Pur Pure e MathematicsMathematic s1 MathematicMathematicss 2 Routes which require additional teaching hhh of topics not covered in the combination
[Show full text]
Further Mathematics HL Guide First Examinations 2014
Diploma Programme Further mathematics HL guide First examinations 2014 Diploma Programme Further mathematics HL guide First examinations 2014 Further mathematics HL guide Diploma Programme Published June 2012 Published on behalf of the International Baccalaureate Organization, a not-for-profit educational foundation of 15 Route des Morillons, 1218 Le Grand-Saconnex, Geneva, Switzerland by the International Baccalaureate Organization (UK) Ltd Peterson House, Malthouse Avenue, Cardiff Gate Cardiff, Wales CF23 8GL United Kingdom Phone: +44 29 2054 7777 Fax: +44 29 2054 7778 Website: www.ibo.org © International Baccalaureate Organization 2012 The International Baccalaureate Organization (known as the IB) offers three high-quality and challenging educational programmes for a worldwide community of schools, aiming to create a better, more peaceful world. This publication is one of a range of materials produced to support these programmes. The IB may use a variety of sources in its work and checks information to verify accuracy and authenticity, particularly when using community-based knowledge sources such as Wikipedia. The IB respects the principles of intellectual property and makes strenuous efforts to identify and obtain permission before publication from rights holders of all copyright material used. The IB is grateful for permissions received for material used in this publication and will be pleased to correct any errors or omissions at the earliest opportunity. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior written permission of the IB, or as expressly permitted by law or by the IB’s own rules and policy.
[Show full text]
AS/A Level Further Mathematics
AS/A Level Further Mathematics Entry Criteria: You will need to achieve the pathway criteria, please see the prospectus for further information You will need to achieve a Grade 7 or above in GCSE Mathematics Coursework/Examination Requirements: AS Assessment Two examinations worth 50% each A Level Assessment Four examinations worth 25% each Awarding Body/Specifications: Edexcel Advanced Level (A Level): Further Mathematics builds on the knowledge of A Level Mathematics and involves the further study of Pure Mathematics as well as the study of two optional units chosen from: Further Pure Mathematics, Statistics, Mechanics or Decision. Further Mathematics provides a greater challenge for those students who demonstrate a talent for Mathematics. For degree level study of Mathematics and mathematically-related subjects, it is a distinct advantage. At some of the top universities, A Level Further Mathematics is a requirement to study this course. The following units will be covered on this course: Pure Mathematics – Compulsory Content Statistics – Optional Unit Topics studied include proof, complex numbers, matrices, further algebra and Topics include discrete probability distributions, Poisson and binomial functions, further calculus, further vectors, polar coordinates, hyperbolic distributions, geometric and negative binomial distributions, hypothesis testing, functions and differential equations. central limit theorem, chi squared tests, probability generating functions and quality of tests. Students will complete two of the four following units: Mechanics – Optional Unit Further Pure – Optional Unit Topics include momentum and impulse, energy and power, elastic strings and Topics include further trigonometry, further calculus, further differential springs and elastic energy and elastic collisions in one and two dimensions. equations, coordinate systems, further vectors, further numerical methods and Decision – Optional Unit inequalities.
[Show full text]
MTH 001 Access Mathematics .Pdf
MTH 001: Access Mathematics COURSE DEVELOPMENT Course Developer Dr C. Bolaji Ahmadu Bello University, Zaria Unit Writer Dr C. Bolaji Ahmadu Bello University, Zaria Course Coordinators Dr F. Peters Ahmadu Bello University, Zaria A. M. Balogun National Open University of Nigeria Lagos Programme Leader Dr (Mrs) M. E. Aina National Open University of Nigeria Lagos National Open University of Nigeria National Open University of Nigeria Headquarters National Open University of Nigeria 14/16 Ahmadu Bello Way Victoria Island Lagos Abuja Annexe Office 245 Samuel Adesujo Ademulegun Street Central Business District Opposite Arewa Suites Abuja E.mail: [email protected] URL: www.nou.edu.ng 0 National Open University of Nigeria 2004 First published 2004 ISBN 978-058-096-4 Published by Longman Nigeria Plc for National Open University of Nigeria Access mathematics: course guide Contents 1 Introduction 2 What you will learn in this course a) Aims of the course b) Course objectives 3 Working through this course a) Course materials b) Study units c) Set textbooks and other resources d) Computer software 4 Assessment a) Tutor-marked assignments b) Final examination and grading c) Course marking scheme d) Course overview 5 How to get the most from this course 6 Summary 7 Tutors and tutorials Introduction This course is on remedial mathematics, which is a non-credit course for students having the need to update their secondary school leaving certificate examinations' results or remedy their defi- ciency in mathematics before their admission directly into the diploma or the degree programme of the NOUN. The course is therefore very essential for all students who need a very good founda- tion in mathematics to undergo any degree programme in the sciences.
[Show full text]
Guide to Admissions in Maths
GUIDE TO ADMISSIONS IN MATHEMATICS 1 Cambridge Mathematics The Cambridge undergraduate mathematics course, known as the Mathematical Tripos, is widely recog- nised as one of the most rewarding - and correspondingly demanding - undergraduate mathematics courses available. You will have to work hard, but will enjoy the opportunity to explore an exceptional range of interesting and beautiful mathematics, and to interact with other enthusiastic and talented mathematicians. Two other aspects of the course that our students greatly appreciate are its flexibility and the breadth of subjects offered. 2 Why Mathematics? Here are some reasons often given for studying Mathematics at university. • You find mathematics interesting and you enjoy it. This is an excellent reason. “I first developed an • You are good at mathematics. This is a necessary, but not enthusiasm for maths when sufficient, condition (as mathematicians would say). You may I was studying it at GCSE be finding the mathematics you are doing now quite straight- level. I had always been very forward, so that you hardly have to work at it. When you study good at maths but I’d always mathematics at higher levels it is not so straightforward, so just seen it as necessary you have to be prepared to work hard at it. And remember and functional. I hadn’t that this work will be a major part of your daily life. realised the breadth of its • The job prospects are excellent. This is a true statement: applications, and it had employers love mathematicians because mathematics is all certainly never occurred to about the vital skill of problem solving, but it’s not on its own me how fun and rewarding sufficient reason.
[Show full text]
OCR a Level Further Mathematics a Y544 Discrete Mathematics Sample
A Level Further Mathematics A Y544 Discrete Mathematics Sample Question Paper Version 2 Date – Morning/Afternoon Time allowed: 1 hour 30 minutes You must have: • Printed Answer Booklet • Formulae A Level Further Mathematics A You may use: • a scientific or graphical calculator * 0 0 0 0 0 0 * INSTRUCTIONS • Use black ink. HB pencil may be used for graphs and diagrams only. • Complete the boxes provided on the Printed Answer Booklet with your name, centre number and candidate number. • Answer all the questions. • Write your answer to each question in the space provided in the Printed Answer Booklet. Additional paper may be used if necessary but you must clearly show your candidate number, centre number and question number(s). • Do not write in the bar codes. • You are permitted to use a scientific or graphical calculator in this paper. • Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question. -2 • The acceleration due to gravity is denoted by g m s . Unless otherwise instructed, when a numerical value is needed, use g = 9.8. INFORMATION • The total number of marks for this paper is 75. • The marks for each question are shown in brackets [ ]. • You are reminded of the need for clear presentation in your answers. • The Printed Answer Booklet consists of 12 pages. The Question Paper consists of 8 pages. © OCR 2017 Y544 Turn over 603/1325/0 B10034/2.3 2 Answer all the questions. 1 Fiona is a mobile hairdresser. One day she needs to visit five clients, A to E, starting and finishing at her own house at F.
[Show full text]
Mathematics at the Grange
MATHEMATICS AT THE GRANGE At the Grange we offer three sixth form mathematics options: Mathematics – single option choice leading to A level Mathematics Further Mathematics – double option choice leading to A level Mathematics and A level Further Mathematics AS Mathematics – 4th option choice leading to AS Mathematics. Before deciding which the right choice is for you, make sure you read all three sections in this booklet. MATHEMATICS Whilst the A Level Mathematics course builds on the knowledge gained when studying GCSE, the emphasis is Course different. Algebra still has a central place, as this is the language in which the subject is expressed, but more importance than Content before is attached to being able to produce clearly reasoned arguments. You will build up a toolkit of mathematical methods, and you will learn how to become an effective problem-solver. You will make much greater use of technology to explore concepts, to exploit links between graphs and the underlying algebra, and to process data. There will be a greater focus on doing mathematics in the context of real-world problems. In common with all A Level syllabuses, two thirds of the Edexcel specification is pure mathematics and the remainder applied. Pure mathematics is the study of mathematical methods for their own sake, and you will gain a grounding in topics such as algebra, calculus (the study of gradients and areas under curves), numerical methods, trigonometry, vector geometry and differential equations. In applied mathematics, you put the techniques you have learnt to use in modelling real life situations: in mechanics you study forces and motion, and in statistics how to use mathematical rules to simplify complex probability calculations and how to analyse sets of data and draw reliable conclusions.
[Show full text]
Further Mathematics
Further Mathematics Solutions ©Ezy Math Tutoring All Rights Reserved www.ezymathtutoring.com.au Table of Contents CHAPTER 1: Data Analysis 3 Exercise 1: Data Types & Representation 4 Exercise 2: Summary Statistics 10 Exercise 3: Normal Distribution 14 Exercise 4: Box Plots 16 Exercise 5: Correlation 21 CHAPTER 2: Number Patterns 30 Exercise 1: Arithmetic Sequences 31 Exercise 2: Geometric Sequences 33 Exercise 3: Sum to Infinity 35 Exercise 4: Difference Equations 37 CHAPTER 3: Geometry & Trigonometry 40 Exercise 1: Pythagoras’ Theorem 41 Exercise 2: Similarity 43 Exercise 3: Volume & Surface Area 45 Exercise 4: Change of Scale 48 Exercise 5: Trigonometry (I) 50 Exercise 6: Trigonometry (II) 52 CHAPTER 4: Graphs & Relations 55 Exercise 1: Linear Relationships 56 Exercise 2: Simultaneous Equations 64 Exercise 3: Non-linear Relationships 69 Exercise 4: Proportional Relationships 87 Exercise 5: Linear Programming 93 CHAPTER 5: Networks 97 Exercise 1: Representation of Networks 98 Exercise 2: Trees 101 Exercise 3: Paths & Flow 102 ©Ezy Math Tutoring All Rights Reserved www.ezymathtutoring.com.au 1 Exercise 4:Optimisation 105 CHAPTER 6: Matrices 107 Exercise 1: Representation & Operations 108 Exercise 2: Simultaneous Equations 113 Exercise 3: Transition Matrices 115 ©Ezy Math Tutoring All Rights Reserved www.ezymathtutoring.com.au 2 Further Mathematics Data Analysis ©Ezy Math Tutoring All Rights Reserved www.ezymathtutoring.com.au 3 Further Mathematics: Solutions Chapter 1: Data Analysis Exercise 1: Data Types & Representation 1) a) Data b)
[Show full text]
General Further Mathematics
2769_ZGM-Prelims Page iii Monday, July 25, 2005 11:28 AM General Further Mathematics The following contents list the Heinemann VCE Zone: 3.4 Solving systems of three simultaneous linear General Mathematics material that should be covered by equations 93 students preparing for Further Mathematics. The greyed 3.5 Solving non-linear simultaneous equations 96 out sections indicate material that should not be covered. 3.6 Advanced substitution techniques 98 3.7 Direct variation 102 Introduction ix 3.8 Inverse variation 109 3.9 Joint and part variation 115 1. Arithmetic techniques SAC Analysis Task: Assignment 121 SAC Application Task: Iceblocks 122 Home Page: Moose, vending Chapter Review 123 machines and other fatal objects 1 4. Matrices Prep Zone 2 Replay File 2 Home Page: The Mars matrix 127 1.1 Rounding off 3 Prep Zone 128 1.2 Calculator arithmetic 7 Replay File 128 1.3 Fractions, decimals and percentages 11 4.1 Introduction to 1.4 Making money 15 matrices 129 1.5 Taxation 18 4.2 Matrix multiplication 136 1.6 Investing money 21 4.3 Inverse matrix and solving simultaneous 1.7 Borrowing money 29 equations 140 1.8 Proﬁt, loss and inﬂation 32 4.4 Transition matrices 146 1.9 Bargain buys 35 SAC Analysis Task: Application 154 SAC Analysis Task: Item response 36 SAC Application Task: Bicycles and football 155 SAC Application Task: Marylyn’s and Joy’s Chapter Review 156 investments 37 Chapter Review 38 5. Functions and graphs Home Page: Oh for ‘perfect’ 2. Algebraic techniques toast! 161 Home Page: Missed … by that Prep Zone 162 much! 43 Replay
[Show full text]
329490-2019-Syllabus.Pdf
SYLLABUS Cambridge International A Level Further Mathematics 9231 For examination in June and November 2019 Cambridge Advanced Version 1 Changes to the syllabus for 2019 The latest syllabus is version 1, published September 2016 There are no significant changes which affect teaching. You are strongly advised to read the whole syllabus before planning your teaching programme Cambridge International Examinations retains the copyright on all its publications. Registered Centres are permitted to copy material from this booklet for their own internal use. However, we cannot give permission to Centres to photocopy any material that is acknowledged to a third party even for internal use within a Centre. ® IGCSE is the registered trademark of Cambridge International Examinations © Cambridge International Examinations 2016 Contents Introduction ..........................................................................................................................2 Why choose Cambridge International Examinations? Why Cambridge International AS & A Levels? Why Cambridge International A Level Further Mathematics? Teacher support 1 Assessment at a glance .................................................................................................7 2 Syllabus aims and assessment objectives .....................................................................9 2.1 Syllabus aims 2.2 Assessment objectives 3 Syllabus content ...........................................................................................................10 3.1 Paper 1 3.2
[Show full text]
Mathematics HL and Further Mathematics HL Formula Booklet
Diploma Programme Mathematics HL and further mathematics HL formula booklet For use during the course and in the examinations First examinations 2014 Edited in 2015 (version 2) © International Baccalaureate Organization 2012 5048 Contents Prior learning 2 Core 3 Topic 1: Algebra 3 Topic 2: Functions and equations 4 Topic 3: Circular functions and trigonometry 4 Topic 4: Vectors 5 Topic 5: Statistics and probability 6 Topic 6: Calculus 8 Options 10 Topic 7: Statistics and probability 10 Further mathematics HL topic 3 Topic 8: Sets, relations and groups 11 Further mathematics HL topic 4 Topic 9: Calculus 11 Further mathematics HL topic 5 Topic 10: Discrete mathematics 12 Further mathematics HL topic 6 Formulae for distributions 13 Topics 5.6, 5.7, 7.1, further mathematics HL topic 3.1 Discrete distributions 13 Continuous distributions 13 Further mathematics 14 Topic 1: Linear algebra 14 Mathematics HL and further mathematics formula booklet 1 Formulae Prior learning Area of a parallelogram Abh= × , where b is the base, h is the height 1 Area of a triangle A=() bh × , where b is the base, h is the height 2 1 Area of a trapezium A=() a + bh, where a and b are the parallel sides, h is the height 2 Area of a circle Ar= π 2 , where r is the radius Circumference of a circle Cr=2 π , where r is the radius 1 Volume of a pyramid V = (area of base × vertical height) 3 Volume of a cuboid V=×× lwh, where l is the length, w is the width, h is the height Volume of a cylinder V= π rh2 , where r is the radius, h is the height Area of the curved surface
[Show full text]