2020/21 Undergraduate Module Catalogue
PHYS1300 Maths 2- Multivariable Calculus
10 creditsClass Size: 255
Module manager: Dr Thomas Moore
Email: T.A.Moore@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2020/21
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
Manipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.
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 |
Example Class | 11 | 1.00 | 11.00 |
Office Hour Discussions | 11 | 1.00 | 0.00 |
Lecture | 22 | 1.00 | 22.00 |
Private study hours | 68.00 | ||
Total Contact hours | 33.00 | ||
Total hours (100hr per 10 credits) | 101.00 |
Opportunities for Formative Feedback
10 assignments.Methods of assessment
Coursework
Assessment type | Notes | % of formal assessment |
Assignment | Assignments submitted during semester and work during examples classes | 10.00 |
Online Assessment | Online Mid-Term Assessment | 30.00 |
Total percentage (Assessment Coursework) | 40.00 |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
Exam type | Exam duration | % of formal assessment |
Online Time-Limited assessment | 48 hr 00 mins | 60.00 |
Total percentage (Assessment Exams) | 60.00 |
Students will have to complete an online assessment 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 assessment will not take 48 hours to complete, but students will have a 48 hour time period in which to complete it. Students are required to pass all assessments for this module in order to pass the module overall.
Reading list
The reading list is available from the Library websiteLast updated: 12/10/2020 15:48:24
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