EC133: Linear Algebra

Introduction

This module allows students to develop a fluency with the algebra of matrices and vectors, and an understanding of topics related to linear transformations, in particular eigenvalues and eigenvectors, coordinate transformations, and matrix diagonalisation and its applications. This provides students with a deeper understanding of techniques used in mathematical economics and econometrics.

Principal Aims

To give the students a clear understanding of some important topics in linear algebra. Students will acquire an understanding of systems of simultaneous linear equations, vectors and linear maps in two-, three- and higher-dimensional space, theory and applications of matrix diagonalisation, general vector spaces, and quadratic forms.

Principal Learning Outcomes

1. Reproduce definitions and examples of core concepts, perform standard calculations, and state and prove standard facts and results in linear algebra.

2. Interpret, generalize and apply a range of mathematical techniques, concepts and results to questions in linear algebra, and understand their relevance to economics.

3. Use existing concepts and theorems to construct illustrative examples and counterexamples and rigorously prove further mathematical results.

Syllabus

Context

Optional Module

L100 - Year 1, L116 - Year 1, LM1D (LLD2) - Year 1, V7ML - Year 1, L1L8 - Year 1, LA99 - Year 1, R9L1 - Year 1, R3L4 - Year 1, R4L1 - Year 1, R2L4 - Year 1, R1L4 - Year 1, R2L5 - Year 1, R4LA - Year 1, R1L5 - Year 1, L1CA - Year 1

Pre or Co-requisites

A-level in Mathematics

Assessment

Assessment Method

Coursework (30%) + Centrally-timetabled examination (On-campus) (70%)

Coursework Details

Assessment 3: Quizzes (10%) , Centrally-timetabled examination (On-campus) (70%) , Problem Set 1 (10%) , Problem Set 2 (10%)

Exam Timing

Summer

Reading Lists