2022/23 Undergraduate Module Catalogue
PHYS2370 Maths 3- Matrices and Operators
10 creditsClass Size: 250
Module manager: Prof. Jiannis Pachos
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2022/23
Pre-requisite qualificationsPHYS 1290 MATHS 1
PHYS 1300 MATHS 2
|Maths 1- Scalars and Vectors
|Maths 2- Multivariable Calculus
This module is not approved as a discovery module
Module summaryFluency in mathematical techniques is essential for solving physics problems. This module introduces vector calculus and linear algebra concepts and techniques indispensable for modern physics, including electromagnetism and quantum mechanics. Exercises that allow practicing actual calculations are an integral and important part of the module.
ObjectivesManipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.
On completion of this module, students should be able to:
- evaluate integrals using the theorems of Green, Stokes and Gauss and be able to apply these theorems to physics problems;
- multiply matrices and evaluate determinants;
- solve a set of linear equations;
- invert matrices and find their eigenvalues and eigenvectors.
- know the properties of Hermitian matrices and be able to use them in physics problems.
Basic mathematical methods needed in all branches of science.
Line, surface and volume integrals, i.e integration along curves, over areas and volumes. Use of spherical and cylindrical polar coordinates.
Integral theorems of Green, Stokes and Gauss. Application of these concepts to physics problems.
Multiplication of matrices, inverses and linear transformations. Determinants and the solution of linear equations, eigenvalues and eigenvectors.
Diagonalisation of matrices, real symmetric matrices, Hermitian matrices, their eigenvalues and eigenvectors, and physics applications.
|Private study hours
|Total Contact hours
|Total hours (100hr per 10 credits)
Methods of assessment
|% of formal assessment
|Total percentage (Assessment Coursework)
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
|% of formal assessment
|Standard exam (closed essays, MCQs etc)
|2 hr 30 mins
|Total percentage (Assessment Exams)
Students will have to complete an in-person exam at the end of the module. This will take place during the examinations period at the end of the semester and will be time bound. Students must submit a serious attempt at all assessments, in order to pass the module.
Reading listThe reading list is available from the Library website
Last updated: 29/04/2022 15:31:38
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