Module manager: Dr Julian Pittard
Email: J.M.Pittard@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2023/24
'A' Level Physics and Maths or equivalent
This module is not approved as a discovery module
Series, including : l’Hopital’s rule, convergence of sequences and series, Taylor’s
theorem, Taylor and MacLaurin series, Introduction to Fourier series
Second order differential equations with constant coefficients, applications to
mechanics and simple harmonic motion
Multi-Variable calculus, including: partial differentiation, stationary points of multivariable
functions, multiple integration, multiple variable calculus in Cartesian, polar,
cylindrical and spherical coordinate systems
The ‘del’ operator including: the gradient of scalar fields, the divergence and curl of
vector fields, the Laplacian, the del operator in Cartesian, cylindrical and spherical
polar coordinate systems
Flux and the Divergence theorem including: the definition of flux across a surface,
evaluating flux through surface integrals, introduction to the Divergence theorem for
flux across closed surfaces
Students will be able to demonstrate knowledge, understanding and application of:
1. Series
2. Second-order differential equations
3. Multi-variable calculus including different coordinate systems
4. Div, grad and curl
5. Flux, surface integrals and the divergence theorem
Basic mathematical skills in pure mathematics
Ability to solve differential equations
ability to model a physical problem
Series, including : l’Hopital’s rule, convergence of sequences and series, Taylor’s theorem, Taylor and MacLaurin series, Fourier theorem, Fourier series
Second order differential equations, including homogeneity, general solutions to homogeneous differential equations, particular integrals, applications to mechanics and simple harmonic motion
Multi-Variable calculus, including : partial differentiation, stationary points of multi-variable functions, multiple integration, multiple variable calculus in Cartesian, cylindrical and spherical polar coordinate systems
The ‘del’ operator including: the gradient of scalar fields, the divergence and curl of vector fields, the Laplacian, the del operator in Cartesian, cylindrical and spherical polar coordinate systems
Flux and the Divergence theorem including: the definition of flux across a surface, evaluating flux through surface integrals, the Divergence theorem for flux across closed surfaces
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | 33 | 1 | 33 |
| Private study hours | 67 | ||
| Total Contact hours | 33 | ||
| Total hours (100hr per 10 credits) | 100 | ||
10 assignments.
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| In-course Assessment | Regular coursework | 20 |
| Total percentage (Assessment Coursework) | 20 | |
Resists 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