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School of Social Sciences

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BAEcon Economics
Learn how the social sciences can help you to understand today's world.

BAEcon Economics / Course details

Year of entry: 2018

Course unit details:
Advanced Mathematics

Unit code ECON10071
Credit rating 10
Unit level Level 1
Teaching period(s) Semester 1
Offered by Economics
Available as a free choice unit? Yes

Overview

See course Blackboard pages.

Pre/co-requisites

A-Level Mathematics (compulsory Pre-Requisite).

Aims

The aim of this course is to introduce mathematical techniques useful in the economic and social sciences to those students who have the appropriate advanced mathematical background.

Learning outcomes

The objectives of this course are that students will be able to:

  1. Solve simple linear equations, find roots a quadratic and understand the solution to non-linear equations.
  2. Understand functions, continuity and basic differentiation.
  3. Solve one and two-variable unconstrained and constrained optimisation problems using the Lagrangian method.
  4. Demonstrate their understanding of linear univariate difference equations.

Syllabus

The syllabus is organized around the following five Learning Modules (LM0-LM4):


LM0: Preliminaries and Pre-requisites

  • A review of your mathematical background.
  • Some observations on logic.


LM1: Functions & Univariate Calculus

  • Functions, continuity.
  • Roots of equations.
  • Limits and basic differentiation.
  • Stationary points and optimisation.
  • Concavity and convexity.


LM2: Dynamics

  • Simple dynamics.
  • Geometric Series.
  • Linear difference equations.


LM3: Vectors and Matrices

  • An introduction to vectors and matrices and their mathematical manipulation; addition, multiplication. Inverse matrix.
  • Determinants.
  • Rank.
  • Quadratic Forms.


LM4: Bivariate Functions

  • Surfaces in 3D, contours.
  • Partial functions and partial differentiation: the Jacobian and Hessian.
  • Optimisation; saddle points.
  • Concavity/convexity.
  • Finding maxima/minima of functions of two variables.
  • Subject constraints (e.g.,maximising utility subject to a budget constraint).

Teaching and learning methods

Lectures and exercise classes.

Employability skills

Analytical skills
Problem solving
Other
Using library, electronic and online resources.Numeracy, time management, improving own learning.

Assessment methods

  • Mid-Term Exam: multiple choice questions (worth 5%).
  • Final Exam: multiple choice questions (worth 95%).


For information about feedback please follow this link:
http://www.campus.manchester.ac.uk/tlso/map/teachinglearningassessment/assessment/sectionb-thepracticeofassessment/policyonfeedbacktostudents/.


 

Feedback methods

  • Mock exam.
  • Online quizzes.
  • Tutorial feedback.
  • PASS sessions.
  • Office hours.
  • Discussion boards.

Recommended reading

The ESSENTIAL TEXT (available from Blackwell University Bookshop, Oxford Road, Manchester) is:

  • ECON10071 Advanced Mathematics (2nd Edition) - A Pearson Custom Publication compiled by Mario Pezzino

This text has been compiled specifically for this course from three sources:

  • Essential Mathematics for Economic Analysis (3rd Edition), by Knut Sydsæter and Peter Hammond
  • Further Mathematics for Economic Analysis (2nd Edition), by Knut Sydsæter, Peter Hammond, Atle Seierstad and Arne StrØm
  • A Guide to Game Theory, by Fiona Carmichael

Detailed prescribed reading will be provided on the Blackboard site.
 

Study hours

Scheduled activity hours
Assessment written exam 1.5
Lectures 20
Tutorials 8
Independent study hours
Independent study 70.5

Teaching staff

Staff member Role
Refik Emre Aytimur Unit coordinator

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