Syllabus content and objectives
Official WAEC Further Mathematics / Mathematics (Elective) outline · Section I: Pure Mathematics
Content
Trigonometric ratios/identities, compound/multiple angles, graphs, coordinate geometry of lines and conic sections (circles, parabolas), differentiation rules, maxima/minima, indefinite/definite integrals, area/volume applications
Objective
Prove trigonometric identities and solve equations involving compound/multiple angles; analyze line gradients, midpoints, acute angles, perpendicular distances, circles, and parabola equations; differentiate polynomials, trigonometric, and transcendental functions using chain/product/quotient rules; determine turning points, tangents, normals, and kinematics; evaluate indefinite/definite integrals to compute plane areas, volumes of revolution, and trapezium rule approximations.
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