Fundamental Maths

MARK BREACH is Principal Lecturer in Engineering Surveying at Nottingham Trent University, UK, where he also teaches mathematics to engineers. He is the author of several textbooks.

• PreliminariesFundamental ArithmeticArithmetic of Small QuantitiesArithmetic of PowersArithmetic CalculationsGraphs and ChartsAlgebra – Introducing the UnknownAlgebra – More Complex FormsAlgebra FunctionsAlgebra Working with FormulaeAlgebra – Transposition of Equations and Inverse FunctionsAlgebra – Factors of ExpressionsGeometrySeriesTrigonometryGraphical Representation of Trigonometric FunctionsSimultaneous EquationsQuadratic EquationsSurface Areas and Volumes of SolidsCoordinate SystemsAreas of Irregular FiguresTrigonometric IdentitiesLogarithms and IndicesDifferentiation – Basic RelationshipsDifferentiation of More Complex FunctionsDifferentiation – UsesIntegration – Basic RelationshipsIntegration – Area and VolumeVectorsMatricesProbabilityCentral Tendency and DispersionAnswers.