Module co-ordinator: Information currently unavailable
Credit value: 20 credits
Credit level: C
Academic year of delivery: 2018-19
See module specification for other years:
2019-202020-21
Module will run
Occurrence
Teaching cycle
A
Autumn Term 2018-19
Module aims
To consolidate and broaden A-level mathematics
To provide a solid and secure mathematical foundation for relevant modules in other departments.
To provide the foundation for Mathematics for the Sciences II and thence for higher level Mathematics and Physics modules to be taken at stages 2 and above.
Module learning outcomes
At the end of the module you should be able to demonstrate competence in essential topics of
algebra
differential calculus
integral calculus
differential equations
Fourier series
Module content
Differentiation, Integration, substitution and parts, definite integrals
Partial derivatives, higher order partial derivatives, linear approximation, the chain rule, implicit differentiation
Limits of series, geometric series, Taylor series
Complex numbers, the complex plane, the complex exponential function, roots of unity
Matrix addition and multiplication, transpose and trace (arbitrary dimensions), determinant and inverse for 2x2 matrices
Groups and permutations
Differential equations, solution of 1st order separable and linear ODEs
Second order linear ODEs (homogeneous and inhomogeneous), resonance
The heat equation, Fourier series, complex exponential series, Fourier transform
Assessment
Task
Length
% of module mark
University - closed examination Mathematics for the Sciences I
3 hours
100
Special assessment rules
None
Reassessment
Task
Length
% of module mark
University - closed examination Mathematics for the Sciences I
3 hours
100
Module feedback
Current Department policy on feedback is available in the undergraduate student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
Indicative reading
Mathematical Methods for Physics and Engineering, KF Riley, MP Hobson and SJ Bence, Cambridge University Press
Coronavirus (COVID-19): changes to courses
The 2020/21 academic year will start in September. We aim to deliver as much face-to-face teaching as we can, supported by high quality online alternatives where we must.
Find details of the measures we're planning to protect our community.