# Elective Mathematics Syllabus for Waec

2976 Words Jan 23rd, 2013 12 Pages
WEST AFRICAN SENIOR SCHOOL CERTIFICATE EXAMINATION FURTHER MATHEMATICS/MATHEMATICS (ELECTIVE) AIMS OF THE SYLLABUS The aims of the syllabus are to test candidates on: (i) (ii) (iii) further conceptual and manipulative skills in Mathematics; an intermediate course of study which bridges the gap between Elementary Mathematics and Higher Mathematics; aspects of mathematics that can meet the needs of potential Mathematicians, Engineers, Scientists and other professionals.

EXAMINATION FORMAT There will be two papers both of which must be taken. PAPER 1: PAPER 2: (Objective) (Essay) 1½ hours (50 marks) 2½ hours (100 marks) This will contain forty multiple-choice questions, testing the areas common to the two alternatives of the syllabus, made
(vi) Compound and multiple angles.

Identify without use of tables.

Simple cases only.

Their use in simple Identities and solution of trig. ratios. a cos x + b sin x = c

(vii) Graphical solution of simple trig. equation. (viii) Solution of triangles.

Include the notion of radian and trigonometric ratios of negative angles.

3. Indices, Logarithms and Surds. (a) Indices

(i) Elementary theory of Indices. (ii) Elementary theory of Logarithm log a xy = logax + logay,

1 Meaning of a0, a-n, a n Calculations involving multiplication, division, power and nth roots: 1 log an, log √a, log a n Reduction of a relation such as y = axb, (a, b are constants) to a linear form. log10y = b log10x + log10a. Consider other examples such as y = abx .

(b) Logarithms

logaxn = nlogax
(iii) Applications

From Olusegun Fapohunda of www.justnaira.com

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WEST AFRICAN SENIOR SCHOOL CERTIFICATE EXAMINATION FURTHER MATHEMATICS/MATHEMATICS (ELECTIVE)
AREAS COMMON TO THE TWO ALTERNATIVES ADDITIONAL TOPICS /NOTES FOR ALTERNATIVES
ALTERNATIVE X TOPIC CONTENT NOTES (For Candidates offering Further Maths) ALTERNATIVE Y (For Candidates offering Maths Elective)

(c)

Surds

Surds of the form a , a√ a and a + b√ n √b where a is rational. b is a positive integer and n is not a perfect square.

Rationalisation of the Denominator:

a + √b √c - √d

(d) Sequences: Linear and Exponential sequences

(i)

Finite and infinite sequences

(ii) Un = U1 + (n –