Skip to main content

Unit information: Linear Algebra in 2024/25

Please note: Programme and unit information may change as the relevant academic field develops. We may also make changes to the structure of programmes and assessments to improve the student experience.

Unit name Linear Algebra
Unit code MATH10015
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 1 (weeks 1 - 12)
Unit director Dr. Carey
Open unit status Not open
Units you must take before you take this one (pre-requisite units)

None

Units you must take alongside this one (co-requisite units)

None

Units you may not take alongside this one

None

School/department School of Mathematics
Faculty Faculty of Science

Unit Information

Lecturers: Rachael Carey and Charles Cox

Why is this unit important?

Linear Algebra constitutes the bedrock of higher mathematics. It is indispensable and used in one form or another throughout every mathematical discipline. This unit aims to lay down foundational concepts for studying maths at the undergraduate level and enable students to develop clear mathematical thinking.

How does this unit fit into your programme of study

This unit covers core material that is a pre-requisite for many units in later years of the programme across pure mathematics, applied mathematics and statistics.

Your learning on this unit

An overview of content

Linear Algebra begins with the Euclidean plane, complex numbers and n-dimensional Euclidean space, which leads to the ideas of vectors and matrices, which also arise naturally from the study of systems of linear equations. These objects behave linearly, and this helps us understand their properties. Later in the course we develop the abstract notion of a vector space. This is one of the basic structures of pure mathematics; yet the methods of the course are also fundamental for applied mathematics and statistics.

This course carefully defines the objects and ideas we work with, and rigorously demonstrates their properties, as well as teaching the tools required for practical computation of examples.

How will students, personally, be different as a result of the unit

After taking this unit, students will become more familiar with abstract thinking, and develop their problem-solving skills. They will be able to apply a range of computational techniques to solve problems, as well as increasing their confidence to work with abstract mathematical structures.

Learning Outcomes

At the end of this unit, students should be able to:

  • perform calculations involving vectors and matrices, including computing products and matrix inverses; calculating determinants; computing eigenvalues and eigenvectors; diagonalising matrices.
  • recognise examples and non-examples of vector spaces, subspaces and linear maps.
  • define linear independence, span, bases, rank and nullity, and apply these definitions to problems.
  • solve linear equations using elementary operations and apply this technique to solve problems.

How you will learn

The unit will be taught through a combination of:

  • Plenary lectures.
  • Online materials, which may include narrated presentations and worked examples.
  • Guided independent activities such as problem sheets and/or other exercises.
  • Weekly group problem/example classes, workshops and/or tutorials.
  • Weekly office hours.

How you will be assessed

Tasks which help you learn and prepare you for summative tasks '(formative):

Guided independent activities such as problem sheets and/or other
exercises, with regular feedback from tutors.

Tasks which count towards your unit mark (summative):

90% timed examination; 10% coursework

When assessment does not go to plan

If you fail this unit and are required to resit, then reassessment is by a
written examination in the Resit and Supplementary exam period.

Resources

If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATH10015).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.

See the University Workload statement relating to this unit for more information.

Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. The Board considers each student's outcomes across all the units which contribute to each year's programme of study. For appropriate assessments, if you have self-certificated your absence, you will normally be required to complete it the next time it runs (for assessments at the end of TB1 and TB2 this is usually in the next re-assessment period).
The Board of Examiners will take into account any exceptional circumstances and operates within the Regulations and Code of Practice for Taught Programmes.

Feedback