A concise, interactive guide to the calculus and linear algebra needed for economics and finance, with extensive examples and exercises.An introduction to calculus and linear algebra for students of economics and related areas. Motivated throughout by problems from economics and finance, it covers the essential mathematics for a first-year university course in these areas, providing numerous examples and extensive exercises (with full solutions) to consolidate understanding.An introduction to calculus and linear algebra for students of economics and related areas. Motivated throughout by problems from economics and finance, it covers the essential mathematics for a first-year university course in these areas, providing numerous examples and extensive exercises (with full solutions) to consolidate understanding.Accessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of economics, mathematics, or both, this book will be welcomed for its clarity and breadth and the many opportunities it provides for readers to practise and test their understanding.Preface to second edition; Preface to first edition; 1. Mathematical models in economics; 2. Mathematical terms and notations; 3. Sequences, recurrences, limits; 4. The elements of finance; 5. The cobweb model; 6. Introduction to calculus; 7. Some special functions; 8. Introduction to optimisation; 9. The derivative in economics I; 10. The derivative in economics II; 11. Partial derivatives; 12. Applăm