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Article11 Jul 2026Numbers, Fractions, and DecimalsWorking arithmetic for engineering: signed numbers, ratio and proportion, percentage, fractions and reciprocals, the inch–millimetre bridge, continued fractions and change-gear ratios, powers and scientific notation, logarithms, complex numbers, permutations, primes, and the constants worth memorising.11 min readRead MoreArticle11 Jul 2026Algebra and EquationsRearranging formulas, essential identities, linear and simultaneous equations, quadratics and cubics, Newton–Raphson root finding, arithmetic and geometric progressions, binomial approximations, and the working rules of derivatives and integrals — with machine-shop worked examples.8 min readRead MoreArticle11 Jul 2026GeometryAnalytical and mensuration geometry for engineering: lines and coordinates, polar conversion, the circle and conic sections, areas of plane figures, regular polygon data, circular segments and tank contents, volumes of solids with the prismoidal and Pappus rules, and circles-in-circles roller arrangements.9 min readRead MoreArticle11 Jul 2026Solution of TrianglesEngineering trigonometry reference: functions of angles, degree–radian conversion, right-angled and oblique triangle solutions, identities, computed function tables, interpolation, versed and involute functions, compound angles, and spherical trigonometry, with worked metric examples.24 min readRead MoreArticle11 Jul 2026MatricesMatrix operations for engineering: addition and scalar multiples, matrix multiplication, transpose, determinants, minors, cofactors and the adjoint, rank and singularity, the inverse, solving simultaneous equations by Cramer's rule and by inversion, and rotation matrices for coordinate work.6 min readRead MoreArticle11 Jul 2026Manufacturing Data AnalysisStatistics for the shop floor: samples and populations, mean and standard deviation, distribution curves, the normal curve and z-values with a computed table, estimating the fraction outside limits, minimum number of tests, comparing two averages, and the machinability–hardness relationship.6 min readRead MoreArticle11 Jul 2026Engineering EconomicsMoney over time for engineering decisions: simple and compound interest, nominal and effective rates, cash-flow diagrams, equivalence factors with a computed 8% table, net present value, capitalised cost and EUAC, rate of return and payback, benefit–cost ratio, depreciation schedules, break-even analysis, and machine-hour overhead rates.8 min readRead More