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ES10005: Core skills for economists: mathematics 1

[Page last updated: 10 August 2020]

Follow this link for further information on academic years Academic Year: 2020/1
Further information on owning departmentsOwning Department/School: Department of Economics
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Certificate (FHEQ level 4)
Further information on teaching periods Period:
Semester 1
Further information on unit assessment Assessment Summary: CW100
Further information on supplementary assessment Supplementary Assessment:
ES10005 Resit Exam (where allowed by programme regulations)
Further information on requisites Requisites:
Description: 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.
Further information on programme availabilityProgramme availability:

ES10005 is Compulsory on the following programmes:

Department of Economics
  • UHES-AFB03 : BSc(Hons) Economics (Year 1)
  • UHES-AAB03 : BSc(Hons) Economics with Study year abroad (Year 1)
  • UHES-AKB03 : BSc(Hons) Economics with Year long work placement (Year 1)
  • UHES-AFB01 : BSc(Hons) Economics and Politics (Year 1)
  • UHES-AAB01 : BSc(Hons) Economics and Politics with Study year abroad (Year 1)
  • UHES-AKB01 : BSc(Hons) Economics and Politics with Year long work placement (Year 1)
  • UHES-ACB01 : BSc(Hons) Economics and Politics with Combined Placement and Study Abroad (Year 1)
  • UHES-ACB03 : BSc(Hons) Economics with Combined Placement and Study Abroad (Year 1)

Notes: