MA4052 - Linear Algebra (2023/24)
| Module specification | Module approved to run in 2023/24 | ||||||||||||
| Module title | Linear Algebra | ||||||||||||
| Module level | Certificate (04) | ||||||||||||
| Credit rating for module | 15 | ||||||||||||
| School | School of Computing and Digital Media | ||||||||||||
| Total study hours | 150 | ||||||||||||
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| Running in 2023/24(Please note that module timeslots are subject to change) |
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Module summary
The module builds on and extends concepts learned in A-Level Mathematics such as complex numbers, vectors, and matrices. This module serves as an introduction to linear algebra methods, which are central in modern mathematics, having found applications in many other sciences and in our everyday life. The module covers basic mathematical techniques of linear algebra such as Systems of linear equations and Gaussian elimination, Matrices and Determinants, and Diagonalisation. The contents covered and the skills developed are fundamental to the development of mathematical competence. Linear algebra forms an important foundation for further studies in Mathematics, Finance, Statistics and Engineering.
Prior learning requirements
A Level Mathematics.
Available for Study Abroad? NO.
Syllabus
Complex numbers, matrices, vectors. LO1
Determinants, inverses, systems of linear equations. LO2
Application: Simultaneous equations. Eigenvectors. LO3
Balance of independent study and scheduled teaching activity
This module will be delivered through a mixture of lectures and tutorials. The lectures will develop theory, explain the methods and techniques, and demonstrate them by going through examples. The tutorials will provide students with the opportunity of reviewing their lecture notes and working through the problems designed for their practice, which will underpin the skills and techniques demonstrated in the lectures. Students will be encouraged to construct valid and precise mathematical arguments and will be expected to produce solutions using appropriate notational and stylistic conventions. Self-study exercises will enable students to monitor their own progress. A set of lecture notes will be provided to students and answers for exercise questions will be put on the VLE. Blended learning is incorporated by using online resources as a medium for communication (both peer and tutor-led) and will also provide additional materials to stimulate the student interest and broaden their horizons.
Learning outcomes
On successful completion of this module, students should be able to:
LO1. Demonstrate knowledge of the underlying concepts and principles associated with complex numbers, vectors, and matrices.
LO2. Demonstrate the capability to make sound judgements in accordance with the basic theories and concepts in the following areas, whilst demonstrating a reasonable level of skill in calculation and manipulation of the material: determinants and inverses of matrices, systems of linear equations, eigenvectors.
LO3. Communicate straightforward arguments and conclusions reasonably accurately and clearly.
Assessment strategy
Summative assessment will consist of one Coursework and a final Examination.
The Coursework will assess LO1, LO2, and the final assessment will be an Examination where students will be tested across the whole syllabus LO1- LO3.
Feedback to students will be given in class and on Weblearn after the Summative assessment Coursework.
Bibliography
Core Textbooks:
Lipschutz, S. and Lipson, M. (2009), Schaum's Outline of Linear Algebra. McGraw-Hill
Recommended Reading:
Fraleigh, J. et al. (2005); Linear Algebra. Addison-Wesley