Mathematical Economics
Mathematical economics tutorials: calculus, optimization, Lagrange multipliers, linear algebra, and dynamic models — step-by-step derivations for undergraduate and graduate students.
Mathematical EconomicsSimultaneous Equations Explained: Supply and Demand Equilibrium and the Effect of a TaxSimultaneous equations find where two conditions hold at once. See how they give market equilibrium, the effect of a tax, and line–curve crossings.Mathematical EconomicsProfit Maximisation with Calculus: First and Second Order ConditionsSetting the derivative to zero finds a flat point - but flat points can be maxima or minima, and choosing wrong reverses your answer. The first…Mathematical EconomicsMarginal Analysis: Why Every Marginal Concept Is a DerivativeMarginal cost, marginal revenue, marginal utility, marginal product - four names for one piece of mathematics. Why marginal always means derivative, why fixed costs vanish at…Mathematical EconomicsMatrix Algebra for Economists: Operations, Determinants, Cramer’s Rule and Leontief Input-Output AnalysisAn economy is a web of industries feeding into one another. Wassily Leontief won a Nobel Prize turning that tangle into a grid you can solve…Mathematical EconomicsElasticity Mathematics: Point vs Arc Elasticity, Cross-Price Elasticity and the Lerner IndexElasticity is a precise number with a precise formula — and which formula you use changes the answer. A complete guide to the mathematics of elasticity:…Mathematical EconomicsPartial Derivatives in Economics: Marginal Products, Multivariable Optimisation and the Chain RuleEconomics is multivariable: output depends on labour and capital, utility on every good at once. The partial derivative is how you isolate one effect while holding…Mathematical EconomicsThe Cobb-Douglas Production Function: Returns to Scale, Elasticity and Cost MinimisationThe exponents in Q = AL^α K^β are not just parameters — they are output elasticities, they sum to the returns to scale, and under competition…Mathematical EconomicsConsumer Surplus and Producer Surplus: Integration, Welfare Triangles and Policy ApplicationsEvery time you would have happily paid more than you did, you pocketed consumer surplus. A complete guide to measuring welfare with integration: consumer and producer…Mathematical EconomicsLinear Programming in Economics and Business: Graphical Method, Constraints and Simplex MethodIn 1947 George Dantzig solved a problem the US Air Force thought was hopeless. A complete guide to linear programming for economics and business: formulation, the…Mathematical EconomicsDerivatives in Economics: Marginal Cost, Revenue and Profit with Step-by-Step Calculus ExamplesEvery time a textbook says "marginal", it means "derivative". A complete guide to differentiation in economics: deriving marginal cost and marginal revenue, why MC cuts AC…
Mathematics Made Simple teaches the algebra and calculus behind every economics formula, with 1,565 worked practice questions in the bundle.Mathematics Made Simple Complete Bundle — Textbook + 1,565 Practice Questions
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