MATHS WORKBOOK mathematical techniques
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MATHS WORKBOOK mathematical techniques
The Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary E MATHS WORKBOOK mathematical techniques Examination in PPE or Mods in Modern History and Economics. It covers the mathematical techniques that, students arc required to know for the exam.The Maths Workbook was written by Margaret Stevens, with the help of: Alan Beggs, David Foster, Mary Gregory, Ben Irons, Godfrey Keller, Sujoy Mukcrji, M MATHS WORKBOOK mathematical techniques at han Satchi, Patrick Wallace, Tania Wilson.©Margaret Stevens 2003Complementary Text booksAs far as possible t he Workbook is self-contained, but itMATHS WORKBOOK mathematical techniques
should be used in conjunction with standard textbooks for a fuller coverage:•Ian Jacques Mathematics for Economics and Business 3rd Edition 1999 or 4tThe Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary E MATHS WORKBOOK mathematical techniques able for students who have not previously studied mathematics to A-levcl.)•Carl p. Simon and Lawrence Blume Mathematics for Economists, 1994. (A good but more advanced textbook, that goes well beyond the Workbook.)•Hal R. Varian Intermediate Microeconomics: A Modem Approach covers many of the econom MATHS WORKBOOK mathematical techniques ic applications, particularly in the Appendices to individual chapters, where calculus Is used.•In addition, students who have not studied A-lcvcl matMATHS WORKBOOK mathematical techniques
hs, or feel that their maths is weak, may find it helpful to use one of the many excellent textbooks available for A-lcvel Pure Mathematics (particulaThe Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary E MATHS WORKBOOK mathematical techniques udents should be able to work through each chapter alone, doing the exercises and checking their own answers. References to the textbooks listed above are given at. the end of each section.At the end of each chapter is a worksheet, the answers for which arc available for the use of tutors only.The f MATHS WORKBOOK mathematical techniques irst two chapters are intended mainly for students who have not done A-lcvcl maths: they assume GCSE maths only. In subsequent, chapters, students whoMATHS WORKBOOK mathematical techniques
have done A-lcvcl will find both familiar and now material.Contents-1Review of AlgebraSimplifying and factorising algebraic expressions; indices MildThe Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary E MATHS WORKBOOK mathematical techniques involving indices and logs); simultaneous equations; inequalities and absolute value.-2Lines and GraphsThe gradient of a line, drawing and sketching graphs, linear graphs (y — mr+c), qua dratic graphs, solving equations and inequalities using graphs, budget const rain Is.-3Sequences. Series and Limi MATHS WORKBOOK mathematical techniques ts; the Economics of FinanceArithmetic and geometric sequences and series; interest rates, savings and loans; present. value; limit of a. sequence, peMATHS WORKBOOK mathematical techniques
rpetuities; the number c, continuous compounding of interest..-4FunctionsCommon functions, limits of functions; composite' and inverse functions; suppThe Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary E MATHS WORKBOOK mathematical techniques returns to scale'.-5DifferentiationDerivat ive as gradient; differentiating y £nt not at ion and interpretation of derivatives; basil- rules and differentiation of polynomials; economic applications: MC. MPL. MPC: stationary points; the second derivative, concavity and convexity.-6Mon-. Differentiat MATHS WORKBOOK mathematical techniques ion. and OptimisationSketching graphs; cost functions: prolit maximisation; product, quotient and chain rule; elasticities; differentiating exponentiaMATHS WORKBOOK mathematical techniques
l and log functions; growth: the optimum time to sell an asset.-7Partial DifferentiationFirst and second order partial derivatives; marginal products.The Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary E MATHS WORKBOOK mathematical techniques rative statics.-8Unconstrained Optimisation Problems with One or More VariablesFirst-and second-order conditions for optimisation, Perfect competition and monopoly; strategic optimisation problems: oligopoly, externalities: optimising functions of two or more variables.-9(.■on.slminid OplintisalionM MATHS WORKBOOK mathematical techniques ethods for solving consumer choice problems: tangency condition and Lagrangian: cost minimisation: the method of Lagrange multipliers: other economicMATHS WORKBOOK mathematical techniques
applications; demand fund ions.-10IntegrationIntegration as the reverse of differentiation: rules for integration: areas and definite integrals; produThe Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary EThe Maths WorkbookOxford University Department of EconomicsThe Maths Workbook has been developed for I ISC by students preparing for the Preliminary EGọi ngay
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