Module manager: Prof. Jiannis Pachos
Email: J.K.Pachos@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2024/25
PHYS 1290 MATHS 1 PHYS 1300 MATHS 2
| PHYS1290 | Maths 1- Scalars and Vectors |
| PHYS1300 | Maths 2- Multivariable Calculus |
PHYS2160
This module is not approved as a discovery module
Fluency 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.
Manipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.
Students will be able to demonstrate knowledge, understanding and application of:
1. Vector calculus
2. Integrals with vectors, including Stokes’s theorem and Divergence theorem
3. Algebra, trace and determinant of matrices
4. Solve linear equations with matrices
5. Diagonalisation of matrices with eigenvalues and eigenvectors
Basic mathematical methods needed in all branches of science.
Vector calculus:
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.
Matrices:
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.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Workshop | 11 | 2 | 22 |
| Lecture | 22 | 1 | 22 |
| Private study hours | 56 | ||
| Total Contact hours | 44 | ||
| Total hours (100hr per 10 credits) | 100 | ||
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| In-course Assessment | Regular coursework | 20 |
| Total percentage (Assessment Coursework) | 20 | |
Resits will be in standard exam format.
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Standard exam (closed essays, MCQs etc) | 2.0 Hrs 30 Mins | 80 |
| Total percentage (Assessment Exams) | 80 | |
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.
The reading list is available from the Library website
Last updated: 29/04/2024
Errors, omissions, failed links etc should be notified to the Catalogue Team