ES10006: Core skills for economists: mathematics 2
[Page last updated: 04 August 2021]
Academic Year:  2021/2 
Owning Department/School:  Department of Economics 
Credits:  6 [equivalent to 12 CATS credits] 
Notional Study Hours:  120 
Level:  Certificate (FHEQ level 4) 
Period: 

Assessment Summary:  EX 80%, OT 20% 
Assessment Detail: 

Supplementary Assessment: 

Requisites:  Before taking this module you must take ES10005 
Aims:  To extend students' knowledge and understanding of mathematics and the use of mathematical techniques in economic analysis, begun in ES10005. To provide students with knowledge of areas of mathematics that are relevant to undergraduate economics and to prepare them for more advanced units in economics and econometrics. 
Learning Outcomes:  By the end of the course unit, students should be able to understand key mathematical concepts, solve mathematical problems, and apply mathematics to economic problems. 
Skills:  Students will develop mathematical skills, specifically as listed below. 
Content:  * Integration: indefinite integration as the reverse of differentiation. Definite integration and the area under a curve. * Circular functions: cycles, circles and trigonometry; calculus with circular functions; Cartesian and polar coordinates. * Complex Numbers: the complex number system; Euler's relation; De Moivre's theorem; complex exponentials and polynomials. * Differential Equations: first order linear differential equations with constant coefficient and constant term, dynamics of market price; second order differential equations with constant coefficient and constant term, market model with price expectations. * Difference Equations: discrete time, differences; first order difference equations, dynamic stability of equilibrium, the Cobweb model; second order linear difference equations; Samuelson multiplier acceleration interaction model. * Eigenvalues and Eigenvectors: the concept of diagonalisable matrices, calculation of the characteristic polynomial, eigenvalues of symmetric matrices. * Simultaneous Differential and Difference Equations: systems of difference and differential equations; solving simultaneous dynamic equations; phase diagrams. 
Programme availability: 
ES10006 is Compulsory on the following programmes:Department of Economics
ES10006 is Optional on the following programmes:Department of Economics

Notes:
