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ES10005: Core skills for economists: mathematics 1

[Page last updated: 02 August 2022]

Academic Year: 2022/23
Owning Department/School: Department of Economics
Credits: 6 [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Certificate (FHEQ level 4)
Semester 1
Assessment Summary: EX 100%
Assessment Detail:
  • Examination (EX 100%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
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.

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.

Skills: Students will develop mathematical skills, specifically as listed in the Content section below.

* 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
  • 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)


  • This unit catalogue is applicable for the 2022/23 academic year only. Students continuing their studies into 2023/24 and beyond should not assume that this unit will be available in future years in the format displayed here for 2022/23.
  • Programmes and units are subject to change in accordance with normal University procedures.
  • Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.