WASSCE syllabus · Elective in Science and Technical
Further Mathematics
Every topic in the WASSCE Further Mathematics syllabus, grouped the way you will study it. The lessons for this subject are being written; the outline below shows what they will cover.
- syllabus topics
- 32
- sections
- 6
Course outline
Further Mathematics syllabus, section by section
01Pure Mathematics — Algebra & Foundations9 topics · syllabus outline
- 01SetsSets, set operations, Venn diagrams, and applications to real-world problems.
- 02Surds, Indices, and LogarithmsLaws of indices, manipulation of surds, laws of logarithms, and using logs to solve equations.
- 03Mathematical InductionThe principle of mathematical induction and proving statements by induction.
- 04Sequences and SeriesArithmetic and geometric progressions, sum of n terms, sum to infinity, and applications.
- 05Polynomials, Theory of Equations, and RootsPolynomial division, factor and remainder theorems, sum and product of roots, and solving polynomial equations.
- 06Rational Functions and Partial FractionsRational functions and how to decompose them into partial fractions.
- 07Binomial TheoremExpansion of (a + b)^n for positive integer n and for fractional and negative indices.
- 08Mathematical LogicStatements, truth tables, logical connectives, tautologies, contradictions, and valid arguments.
- 09FunctionsDomain, range, types of functions, composite and inverse functions, and graphs of functions.
02Pure Mathematics — Geometry & Trigonometry4 topics · syllabus outline
- 01TrigonometryTrigonometric identities, equations, the addition and double-angle formulas, and trigonometric graphs.
- 02Circular MeasureRadian measure, arc length, area of a sector, and converting between degrees and radians.
- 03Coordinate GeometryDistance between points, midpoint, gradient, equation of a straight line, and parallel and perpendicular lines.
- 04Conic SectionsThe circle, parabola, ellipse, and hyperbola — their equations, properties, and graphs.
03Calculus5 topics · syllabus outline
- 01Limits and ContinuityLimit of a function, evaluating limits, continuity, and the link between limits and derivatives.
- 02DifferentiationRules of differentiation — power, product, quotient, chain rule — and differentiation of standard functions.
- 03Applications of DifferentiationRates of change, gradient of a curve, maxima and minima, points of inflection, and curve sketching.
- 04IntegrationIndefinite and definite integrals, integration by substitution, by parts, and of standard functions.
- 05Applications of IntegrationArea under a curve, area between curves, volumes of revolution, and other applications.
04Algebra & Discrete Mathematics4 topics · syllabus outline
- 01Complex NumbersForm a + bi, addition, multiplication, modulus, argument, and the Argand diagram.
- 02Matrices and DeterminantsMatrix operations, determinants, inverse matrices, and solving systems of linear equations.
- 03Linear ProgrammingFormulating linear programming problems and solving them using the graphical method.
- 04Permutations and CombinationsCounting principles, factorial notation, permutations, and combinations.
05Statistics & Probability6 topics · syllabus outline
- 01ProbabilityBasic probability, conditional probability, independent events, and the multiplication and addition rules.
- 02Probability DistributionsBinomial, Poisson, and normal distributions, and computing probabilities from them.
- 03Frequency Distributions and Central TendencyGrouped and ungrouped frequency tables, histograms, mean, median, and mode.
- 04Measures of DispersionRange, mean deviation, variance, standard deviation, and quartile deviation.
- 05Correlation and RegressionScatter diagrams, correlation coefficient, regression lines, and interpreting linear relationships.
- 06Vectors in 2D and 3DVector notation, magnitude, direction, scalar and vector products, and applications of vectors.
06Mechanics4 topics · syllabus outline
- 01Statics and Equilibrium of ForcesResolving forces, equilibrium of coplanar forces, moments, and the centre of gravity.
- 02KinematicsMotion in a straight line, equations of motion, projectile motion, and motion graphs.
- 03Newton's Laws and DynamicsNewton's three laws of motion, force, momentum, impulse, and connected particles.
- 04Work, Energy, and PowerWork done by a force, kinetic and potential energy, conservation of energy, and power.
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Lessons for Further Mathematics are being written. A free account opens the first lesson of every topic in the subjects that already have them.
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