## EC206-Intermediate Mathematics for Economics

Module Provider: School of Politics, Economics and International Relations
Number of credits: 20 [10 ECTS credits]
Level:5
Terms in which taught: Spring term module
Pre-requisites: EC116 Introductory Mathematics for Economics 1 or EC116 Introductory Mathematics for Economics 1 and MA1FM Foundations of Mathematics or EC121 Introductory Mathematics for Economics 2
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Module version for: 2017/8

Module Convenor: Dr Simon Burke

Summary module description:
The module will make use of the introduction to mathematical techniques covered in Part 1 and present a further range of techniques and their economic applications. Other core and elective modules in the various Economics programmes will make use of these techniques and provide further applications in their own context.

Aims:
Students will become familiar with the idea that modern economics, when done rigorously, can summarise its logic and its theoretical models in a mathematical way. The precision of this approach and the breadth of application to economics of the different mathematical techniques will be emphasised throughout.

Assessable learning outcomes:
At the end of the module students should be able to: understand economic theory which makes use of basic mathematical techniques involving, e.g., optimisation under constraint, linear algebra, differential equations. They will solve a range of economic problems which are formulated in mathematical terms.
They will be able to follow the mathematical content of the core modules in microeconomics, macroeconomics, and introductory econometrics, and those electives that are more mathematical in content.

Students will have a better-developed sense of the precision involved in formulating economic models rigorously. Weaknesses in their numeracy and mathematical skills should have been eliminated through practice with class exercises.

Outline content:
The module concentrates on those areas of calculus and linear algebra that are widely used in economic applications. The topics covered may include, but are not limited to:
Economic applications of differentiation and integration. Optimisation with several variables. Revision of properties of the exponential and logarithm functions and their use in economics. Constrained optimisation in economics and Lagrangian techniques. The use of matrices to describe economic systems, matrix multiplication, inversion, the eigenvalue problem and the spectral decomposition of a matrix.

Brief description of teaching and learning methods:
The lectures are devoted to formally covering the material on mathematical techniques and their economic applications. Lecture notes may be distributed to assist students, as well as a Blackboard site. Classes cover difficulties which may have arisen in lectures, and go through a series of exercises and economic applications of the material, which students have attempted beforehand. The class tutor and lecturers are available in their office hours to assist further with difficulties.

Contact hours:
 Autumn Spring Summer Lectures 20 2 Tutorials 9 Guided independent study 154 15 Total hours by term 183.00 17.00 Total hours for module 200.00

Summative Assessment Methods:
 Method Percentage Written exam 80 Written assignment including essay 5 Class test administered by School 15

Other information on summative assessment:
There will be one assessed exercise (5% of overall mark) and one test held near the end of the term in which the module is taught (15% of overall mark).

Formative assessment methods:

Penalties for late submission:
The Module Convenor will apply the following penalties for work submitted late, in accordance with the University policy.

• where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

• The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Length of examination:
One 3-hour unseen written paper.
Part 2 examinations are held in the Summer term.

Requirements for a pass:
A minimum overall mark of 40%.

Reassessment arrangements:
Re-examination for all modules takes place in August/September of the same year.
Re-assessment is by examination only; coursework is not included at the second attempt.