This module is discontinued in the selected year. The information shown below is for the academic year that the module was last running in, prior to the year selected.
2023/24 Undergraduate Module Catalogue
PHYS1300 Maths 2 - Multivariable Calculus
10 creditsClass Size: 255
Module manager: Dr Julian Pittard
Email: J.M.Pittard@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2023/24
Pre-requisite qualifications
'A' Level Physics and Maths or equivalentThis module is not approved as a discovery module
Objectives
Series, including : l’Hopital’s rule, convergence of sequences and series, Taylor’stheorem, 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
Learning outcomes
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
Skills outcomes
Basic mathematical skills in pure mathematics
Ability to solve differential equations
ability to model a physical problem
Syllabus
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
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 33 | 1.00 | 33.00 |
| Private study hours | 67.00 | ||
| Total Contact hours | 33.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Opportunities for Formative Feedback
10 assignments.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | Regular coursework | 20.00 |
| Total percentage (Assessment Coursework) | 20.00 | |
Resists will be in standard exam format.
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr 30 mins | 80.00 |
| Total percentage (Assessment Exams) | 80.00 | |
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.
Reading list
The reading list is available from the Library websiteLast updated: 29/04/2024 16:19:13
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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