# Unit information: Applied Linear Algebra in 2021/22

Unit name Applied Linear Algebra EMAT20012 10 I/5 Teaching Block 2 (weeks 13 - 24) Dr. Szalai Not open EMAT10704 None Department of Engineering Mathematics Faculty of Engineering

## Description including Unit Aims

The unit will teach some practical aspects of matrix linear algebra that is applicable to engineering problems such as in large-scale data analysis and solution of linear differential equations. By the end of the unit the students will be able to understand the theory behind techniques to tackle large scale linear problems in the context of specific applications, such as data fitting, model reduction and model prediction. Also how to apply these methods to practical problems via numerical implementation.

## Intended Learning Outcomes

Upon successful completion of the unit students will be able to:

1. understand the basic properties of matrix linear algebra systems that arise in engineering problems, including dimension, structure, sparsity and spectral properties.
2. reason about the solutions of linear equations and regression problems, including whether to expect a unique solution.
3. choose an appropriate solution technique for a linear equation of arbitrary size, including the idea of both direct and iterative solvers.
4. reason about linear transformations and calculate their eigenvalues and singular values in the context of engineering applications.
5. use matrix algebra to construct the solutions of systems of linear differential equations that arise as mathematical models of physical or engineering systems, and to gain a qualitative understanding of their dynamics.

## Teaching Information

Teaching will be delivered through a combination of synchronous and asynchronous sessions, including lectures, supported by live online sessions, problem sheets and self-directed exercises. The unit will be supported by weekly workshops, which will provide blended learning involving class discussion, problem solving, and/or group presentations. Students will be expected to actively participate in the workshops, and engage with readings, self-directed exercises, and problem-solving activities

## Assessment Information

3 homework sheets, set throughout TB3 (5% each for a total of 15%)

2-hour exam in TB2 exam period (85%)

## 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. EMAT20012).

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.