# Cape Pure Math Unit 1 2007 Syllabus

Topics: Mathematics, Function, Inverse function Pages: 27 (6665 words) Published: November 2, 2011
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: (876) 920-6714 Facsimile Number: (876) 967-4972 E-mail address: cxcwzo@cxc.org 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 COMPLEX NUMBERS.43 OUTLINE OF ASSESSMENT..................................................................50 REGULATIONS FOR PRIVATE CANDIDATES.......................................58 REGULATIONS FOR RE-SIT CANDIDATES ..........................................58 ASSESSMENT GRID .............................................................................59 MATHEMATICAL NOTATION...............................................................60

CXC A6/U2/07

Introduction

T

he Caribbean Advanced Proficiency Examination (CAPE) is designed to provide certification of the academic, vocational and technical achievement of students in the Caribbean who, having completed a minimum of five years of secondary education, wish to further their studies. The examination addresses the skills and knowledge acquired by students under a flexible and articulated system where subjects are organised in 1-Unit or 2-Unit courses with each Unit containing three Modules. Subjects examined under CAPE may be studied concurrently or singly, or may be combined with subjects examined by other examination boards or institutions. The Caribbean Examinations Council offers three types of certification. The first is the award of a certificate showing each CAPE Unit completed. The second is the CAPE diploma, awarded to candidates who have satisfactorily completed at least six Units, including Caribbean Studies. The third is the CAPE Associate Degree, awarded for the satisfactory completion of a prescribed cluster of seven CAPE Units including Caribbean Studies and Communication Studies. For the CAPE diploma and the CAPE Associate Degree, candidates must complete the cluster of required Units within a maximum period of five years.

CXC A6/U2/07

Mathematics Syllabus
 RATIONALE
Mathematics is one of the oldest and most universal means of creating, communicating, connecting and applying structural and quantitative ideas. The discipline of Mathematics allows the formulation and solution...

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