# Module Catalogue

Throughout the 2021-22 academic year, we will be prioritising face to face teaching as part of a blended learning approach that builds on the lessons learned over the course of the Coronavirus pandemic. Teaching will vary between online and on-campus delivery through the year, and you should read guidance from the academic department for details of how this will work for a particular module. You can find out more about the University’s overall response to Coronavirus at: https://warwick.ac.uk/coronavirus.

# EC133-15 Linear Algebra

Department
Economics
Level
Nicholas Jackson
Credit value
15
Module duration
10 weeks
Assessment
Multiple
Study location
University of Warwick main campus, Coventry

##### Introductory description

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.

##### Module 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- and three-dimensional space, theory and applications of matrix diagonalisation, general vector spaces, and quadratic forms.

##### Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

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.

##### Learning outcomes

By the end of the module, students should be able to:

• 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.

##### Subject specific skills

Students will have the opportunity to develop skills in:
Analytical thinking and communication
Analytical reasoning
Critical thinking
Problem-solving
Abstraction

##### Transferable skills

Students will have the opportunity to develop:
Numeracy and quantitative skills
Written communication skills
Oral communication skills
Mathematical, statistical and data-based research skills

## Study time

Type Required
Lectures 20 sessions of 1 hour (13%)
Seminars 9 sessions of 1 hour (6%)
Private study 121 hours (81%)
Total 150 hours
##### Private study description

Private study will be required in order to prepare for seminars/classes, to review lecture notes, to prepare for forthcoming assessments, tests, and exams, and to undertake wider reading around the subject.

## Costs

No further costs have been identified for this module.

You do not need to pass all assessment components to pass the module.

Students can register for this module without taking any assessment.

##### Assessment group D4
Weighting Study time
Problem Set 1 5%

Take home problem set

Problem Set 2 5%

Take home problem set

Problem Set 3 5%

Take home problem set

Problem Set 4 5%

Take home problem set

Test 1 4%

Online quiz worth 4% or 0 depending on whether student achieves 80%

Test 2 4%

Online quiz worth 4% or 0 depending on whether student achieves 80%

Test 3 4%

Online quiz worth 4% or 0 depending on whether student achieves 80%

Test 4 4%

Online quiz worth 4% or 0 depending on whether student achieves 80%

Test 5 4%

Online quiz worth 4% or 0 depending on whether student achieves 80%

Online Examination 60%

A paper which examines the course content and ensures learning outcomes are achieved.

~Platforms - AEP

• Online examination: No Answerbook required
• Students may use a calculator
• Formulae & Tables for Examinations (Inst of Actuaries 2002) GOLD HARDBACK BOOK
##### Assessment group R
Weighting Study time
Online Examination - Resit 100%

A paper which examines the course content and ensures learning outcomes are achieved.

~Platforms - AEP

• Online examination: No Answerbook required
##### Feedback on assessment

The Department of Economics is committed to providing high quality and timely feedback to students on their assessed work, to enable them to review and continuously improve their work. We are dedicated to ensuring feedback is returned to students within 20 University working days of their assessment deadline. Feedback for assignments is returned either on a standardised assessment feedback cover sheet which gives information both by tick boxes and by free comments or via free text comments on tabula, together with the annotated assignment. For tests and problem sets, students receive solutions as an important form of feedback and their marked assignment, with a breakdown of marks and comments by question and sub-question. Students are informed how to access their feedback, either by collecting from the Undergraduate Office or via tabula. Module leaders often provide generic feedback for the cohort outlining what was done well, less well, and what was expected on the assignment and any other common themes. This feedback also includes a cumulative distribution function with summary statistics so students can review their performance in relation to the cohort. This feedback is in addition to the individual-specific feedback on assessment performance.

##### Pre-requisites

A-level in Mathematics

## Courses

This module is Core optional for:

• Year 1 of UIPA-L1L8 Undergraduate Economic Studies and Global Sustainable Development

This module is Optional for:

• UECA-3 Undergraduate Economics 3 Year Variants
• Year 1 of L100 Economics
• Year 1 of L116 Economics and Industrial Organization
• Year 1 of UECA-LM1D Undergraduate Economics, Politics and International Studies
• Year 1 of UPHA-V7ML Undergraduate Philosophy, Politics and Economics

This module is Option list A for:

• Year 1 of UIPA-L1L8 Undergraduate Economic Studies and Global Sustainable Development