ES10005: Core skills for economists: mathematics 1
[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 100% 
Assessment Detail: 

Supplementary Assessment: 

Requisites:  
Aims:  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 in the Content section below. 
Content:  * Differentiation: differentiation of functions of one variable: rules of differentiation, stationary points, higher order derivatives, concavity and convexity, point of inflection, differentiation of exponential and logarithmic functions, concepts of marginals and elasticities, single variable optimization problems. * Partial Differentiation: differentiation of functions of more than one variable; higher order partial derivatives, total differentials, implicit differentiation, homogeneous functions and Euler's theorem, concepts of marginals and elasticities. * Matrices: matrix operations; determinants; matrix inversion; solution of system of linear equations by matrix inversion; Cramer's rule; quadratic forms: definiteness, characteristic root and characteristic vector. * Concavity and convexity of functions of more than one variable; unconstrained and constrained optimization problems involving more than one variable. 
Programme availability: 
ES10005 is Compulsory on the following programmes:Department of Economics

Notes:
