# EC133: Linear Algebra

15 CATS - Department of Economics
Summer Module
Spring Module

### Principal Aims

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 Learning Outcomes

Subject knowledge and understanding: … demonstrate an understanding of symbolic logic, basic properties of number systems, vectors and matrices in R2, R3 and Rn, vector spaces, linear maps, quadratic forms and their applications to certain sorts of problems (solving systems of simultaneous equations, long-term behaviour of coupled recurrence relations, etc). The teaching and learning methods that enable students to achieve this learning outcome are: Lectures, tutorials, problem sheets and independent study. The assessment methods that measure the achievement of this learning outcome are: Problem sheets, online quizzes and unseen examination.

Key skills: …understand formal mathematical definitions and theorems, and apply them to solve problems in linear algebra. The teaching and learning methods that enable students to achieve this learning outcome are: Lectures, tutorials, problem sheets, online quizzes and independent study. The assessment methods that measure the achievement of this learning outcome are: Problem sheets, online quizzes and unseen examination.

### Syllabus

The module will typically cover the following topics: Vector and matrix algebra; Vector spaces and coordinate systems; Linear transformations; Eigenvalues and eigenvectors; Simultaneous equations; Matrix diagonalisation; Inner products; Symmetric matrices; Quadratic forms.

### 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
Pre or Co-requisites
A-level in Mathematics

### Assessment

Assessment Method
Coursework (40%) + Online Examination (60%)
Coursework Details
Online Examination (60%) , Problem Set 1 (5%) , Problem Set 2 (5%) , Problem Set 3 (5%) , Problem Set 4 (5%) , Test 1 (4%) , Test 2 (4%) , Test 3 (4%) , Test 4 (4%) , Test 5 (4%)
Exam Timing
Summer

### Exam Rubric

Time Allowed: 2 Hours