Cape Pure Math Unit 1 2007 Syllabus

CARIBBEAN EXAMINATIONS COUNCIL
Caribbean Advanced Proficiency Examination

Pure Mathematics Syllabus
Effective for examinations from May/June 2008
Correspondence related to the syllabus should be addressed to: The Pro-Registrar Caribbean Examinations Council Caenwood Centre 37 Arnold Road, Kingston 5, Jamaica, W.I. Telephone Number: [phone] Facsimile Number: [phone] E-mail address: [e-mail] Website: www.cxc.org Copyright © 2007, by Caribbean Examinations Council The Garrison, St. Michael BB 11158, Barbados

CXC A6/U2/07

This document CXCA6/U2/07 replaces CXC A6/U2/04 issued in 2004. Please note that the syllabus has been revised and amendments are indicated by italics and vertical lines.

First issued 1999 Revised 2004 Revised 2007

Please check the website, www.cxc.org for updates on CXC’s syllabuses.

CXC A6/U2/07

Contents

Introduction

RATIONALE .........................................................................................1 AIMS.....................................................................................................2 SKILLS AND ABILITIES TO BE ASSESSED...........................................3 PRE-REQUISITES OF THE SYLLABUS .................................................3 STRUCTURE OF THE SYLLABUS .........................................................3 RECOMMENDED 2-UNIT OPTIONS......................................................4 MATHEMATICAL MODELLING............................................................4 UNIT 1: ALGEBRA, GEOMETRY AND CALCULUS MODULE 1 : BASIC ALGEBRA AND FUNCTIONS...........................7 MODULE 2 : TRIGONOMETRY AND PLANE GEOMETRY .............18 MODULE 3 : CALCULUS I ..............................................................23 UNIT 2: ANALYSIS, MATRICES AND COMPLEX NUMBERS MODULE 1 : CALCULUS II .............................................................30 MODULE 2 : SEQUENCES, SERIES AND APPROXIMATIONS........36 MODULE 3 : COUNTING, MATRICES AND