Dr James Ward

This course is compulsory on the BSc in Economic History with Economics, BSc in Economics and Economic History, BSc in Environment and Sustainable Development with Economics, BSc in Environmental Policy with Economics, BSc in Geography with Economics, BSc in International Social and Public Policy and Economics and BSc in Management. This course is available on the BSc in Accounting and Finance, BSc in Econometrics and Mathematical Economics, BSc in Economics, BSc in Philosophy and Economics, BSc in Philosophy, Politics and Economics, BSc in Philosophy, Politics and Economics (with a Year Abroad), BSc in Politics and Economics and Diploma in Accounting and Finance. This course is available with permission as an outside option to students on other programmes where regulations permit. This course is available to General Course students.

A-level Mathematics (or equivalent).

Students with A-level Mathematics who are confident of their mathematical skills may, regulations permitting, also consider the full unit MA100 Mathematical Methods or the half unit MA108 Methods in Calculus and Linear Algebra.

The aim of this course is to develop the basic mathematical tools necessary for further study in economics and related disciplines. To this end we focus on: techniques of calculus (differentiation, partial differentiation, optimisation and integration), methods of linear algebra (use of matrices), and the solution of difference and differential equations. The ideas are taught systematically, with emphasis on their application to economic problems. Examples are used throughout the course for motivation and illustration.

Specific topics are as follows: sets, functions, equations, graphs. Difference equations, sequences, limits. Differentiation, inverse functions, exponential and logarithmic functions. Partial differentiation, chain rule, homogeneous functions. Optimisation in two variables: unconstrained and constrained. Lagrange multipliers. Vector notation and convexity. Matrix notation, systems of linear equations, inverse matrices. Integration. Differential equations.

This course is delivered through a combination of classes and lectures totalling a minimum of 30 hours across Autumn Term.

Written answers to set problems will be expected on a weekly basis.

Useful background reading can be found in M Anthony & N L Biggs, Mathematics for Economics and Finance: Methods and Modelling, CUP, 1996. There are many other books with titles like Mathematics for Economists which may be of some use.

Exam (100%, duration: 2 hours) in the January exam period.