Mathematics and Economics BSc (Hons)

You will take (a-c) and (f), plus either (d) or (h) and the Economics modules; Principles of Microeconomics, Principles of Macroeconomics and European Economy. After passing the first year, you have the flexibility of transfer to G110 or Economics if you wish, subject to approval.

• Calculus I (MATH101) Level 1 Credit level 15 Semester First Semester Exam:Coursework weighting 80:20 Aims

  1.       To introduce the basic ideas of differential and integral calculus, to develop the basic  skills required to work with them and to  apply these skills to a range of problems.

  2.       To introduce some of the fundamental concepts and techniques of real analysis, including limits and continuity.

  3.       To introduce the notions of sequences and series and of their convergence.

  Learning Outcomes

  After completing the module students should be able to:

  ·      differentiate and integrate a wide range of functions;

  ·       sketch graphs and solve problems involving optimisation and mensuration;

  ·       understand the notions of sequence and series and apply a range of tests to determine if a series is convergent.

• Calculus Ii (MATH102) Level 1 Credit level 15 Semester Second Semester Exam:Coursework weighting 80:20 Aims

  ·      To discuss local behaviour of functions using Taylor’s theorem.

  ·      To introduce multivariable calculus including partial differentiation, gradient, extremum values and double integrals.

  Learning Outcomes

  After completing the module, students should be able to:

  ·         use Taylor series to obtain local approximations to functions;

  ·         obtain partial derivatives and use them in several applications such as, error analysis, stationary points change of variables;

  ·         evaluate double integrals using Cartesian and polar co-ordinates.

• Introduction To Linear Algebra (MATH103) Level 1 Credit level 15 Semester First Semester Exam:Coursework weighting 80:20 Aims
  •      To develop techniques of complex numbers and linear algebra, including equation solving, matrix arithmetic and the computation of eigenvalues and eigenvectors.
  •      To develop geometrical intuition in 2 and 3 dimensions.
  •      To introduce students to the concept of subspace in a concrete situation.
  •    To provide a foundation for the study of linear problems both within mathematics and in other subjects.
  Learning Outcomes

  After completing the module students should be ableto:

  •     manipulate complex numbers and solve simple equations involving them
  •     solve arbitrary systems of linear equations;
  •     understand and use matrix arithmetic, including the computation of matrix inverses;
  •     compute and use determinants;
  •     understand and use vector methods in the geometry of 2 and 3 dimensions;
  •     calculate eigenvalues and eigenvectors and, if time permits, apply these calculations to the geometry of conics and quadrics.
• Introduction To Statistics (MATH162) Level 1 Credit level 15 Semester Second Semester Exam:Coursework weighting 80:20 Aims

  To introduce topics in Statistics and to describe and discuss basic statistical methods.

  To describe the scope of  the application of these methods.

  Learning Outcomes

  After completing this module students should be able

  -         to describe statistical data;

  -         to use the Binomial, Poisson, Exponential and Normal distributions;

  -         to perform simple goodness-of-fit tests;

  -         to use the package Minitab to present data, and to make statistical analysis.

• Principles of Microeconomics (ECON121) Level 1 Credit level 15 Semester First Semester Exam:Coursework weighting 80:20 Aims

  To acquaint students with elementary microeconomic theory. We will cover: basic definitions and concepts in (micro)economics, consumer theory, producer theory, perfect competition, imperfect competition, externalities and public goods.

  The mathematics content will include some basic algebra, equations of the straight line, elementary calculus.

  Learning Outcomes

  After this module students should have achieved a theoretical background in the elementary concepts of microeconomic theory   

  
  

  ​  Students should have learned how to apply these concepts.

• Principles of Macroeconomics (ECON123) Level 1 Credit level 15 Semester Second Semester Exam:Coursework weighting 40:60 Aims

  The aims of this module are:

  • To complement and build on Principles of Microeconomics and to provide a foundation for further studies in macroeconomics
  • To introduce concepts and theories of economics which help understand changes in the macroeconomic environment
  • to explain and analyse the formulation of government macroeconomic policy
  Learning Outcomes

  ·         Explainthe relationship between expenditures and national income and demonstrate howmonetary and fiscal policies may be used to influence them
  

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  ·         Explainthe behaviour of economic aggregates such as national income, inflation andunemployment over time

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  ·         Explainand assess government policy in a range of policy situations

  ·         Explainthe framework of national income accounting

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  ·         Usegraphical and algebraic modelling to analyse the economy and economic policy

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  ·         Explainthe interconnections between the markets for goods, money and labour

  ·         Explainthe principal influences on long-term growth and the short-run fluctuation inoutput around the long-run growth trend

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  ·         Locate,select and analyse information relevant to assessing the state of the economyand economic policy

• The European Economic Environment (ECON159) Level 1 Credit level 15 Semester Second Semester Exam:Coursework weighting 75:25 Aims
  

  The aim of this module is to introduce students to:

  1. the theoretical basis of economic integration
  2. the main economic features of the European Union
  3. the workings of the main institutions
  4. the major current policy issues.
  Learning Outcomes describe the main economic aspects and working of the EU in recent years
  identify major economic problems experienced by the EU

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  use appropriate economic analysis to examine such problems

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  followdebates on current developments within the EU

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  cognitive skills of analysis and synthesis
  ability to identify major issues relating to the EU
  ability to conduct individual study by drawing onprimary sources especially access to the Europawebsite of the European Commission
  abilityto discuss current policy issues, particularly as they affect the UK .

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• Ordinary Differential Equations (MATH201) Level 2 Credit level 15 Semester First Semester Exam:Coursework weighting 90:10 Aims

  To familiarize students with basic ideas and fundamental techniques to solve ordinary differential equations.

  To illustrate the breadth of applications of ODEs and fundamental importance of related concepts.    

  
  

  Learning Outcomes

  After completing the module students should be: 

  - familiar with elementary techniques for the solution of ODE''s, and the idea of reducing a complex ODE to a simpler one;

  - familiar with basic properties of ODE, including main features of initial value problems and boundary value problems, such as existence and uniqueness of solutions;

  - well versed in the solution of linear ODE systems (homogeneous and non-homogeneous) with constant coefficients matrix;

  - aware of a range of applications of ODE.

• Statistical Theory and Methods I (MATH263) Level 2 Credit level 15 Semester Second Semester Exam:Coursework weighting 85:15 Aims

  To introduce statistical methods with a strong emphasis on applying standard statistical techniques appropriately and with clear interpretation.  The emphasis is on applications.

  Learning Outcomes

  After completing the module students should have a conceptual and practical understanding of a range of commonly applied statistical procedures.  They should have also developed some familiarity with the statistical package MINITAB.

• Basic Econometrics 1 (ECON212) Level 2 Credit level 15 Semester First Semester Exam:Coursework weighting 70:30 Aims

• Econometrics is concerned with the testing of economic theory using real world data. This module introduces the subject by focusing on the principles of Ordinary Least Squares regression analysis. The module will provide practical experience via regular laboratory session.

   

• ​ This module also aims to equip students with the necessary foundations in econometrics to successfully study more advanced modules such as...