Year of entry: 2018
Course unit details:
|Unit level||Level 1|
|Teaching period(s)||Semester 1|
|Available as a free choice unit?||Yes|
See course Blackboard pages.
A-Level Mathematics (compulsory Pre-Requisite).
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.
The objectives of this course are that students will be able to:
- Solve simple linear equations, find roots a quadratic and understand the solution to non-linear equations.
- Understand functions, continuity and basic differentiation.
- Solve one and two-variable unconstrained and constrained optimisation problems using the Lagrangian method.
- Demonstrate their understanding of linear univariate difference equations.
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.
- 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.
- Quadratic Forms.
LM4: Bivariate Functions
- Surfaces in 3D, contours.
- Partial functions and partial differentiation: the Jacobian and Hessian.
- Optimisation; saddle points.
- 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.
- Analytical skills
- Problem solving
- Using library, electronic and online resources.Numeracy, time management, improving own learning.
- Mid-Term Exam: multiple choice questions (worth 5%).
- Final Exam: multiple choice questions (worth 95%).
For information about feedback please follow this link:
- Mock exam.
- Online quizzes.
- Tutorial feedback.
- PASS sessions.
- Office hours.
- Discussion boards.
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.
|Scheduled activity hours|
|Assessment written exam||1.5|
|Independent study hours|
|Refik Emre Aytimur||Unit coordinator|