Courses / Module

On successful completion of the module, students should be able to:

• Solve linear inhomogeneous ordinary differential equations, involving elementary and special functions, with initial conditions or boundary conditions
• Recognise and use the basic theory of linear, ordinary differential equations (Sturm-Liouville theory, orthogonal function expansions)
• Solve partial differential equations using separation of variables (with specific applications to the wave equation, the heat equation and Laplace's equation)
• Recognise solutions of the three-dimensional Laplace operator in terms of spherical harmonic functions
• Apply the principles of complex analysis to integrate complex functions using the calculus of residues to compute definite integrals
• Manipulate integral transforms and evaluate Fourier transforms

Delivery methods	Hours
Lectures	24
Labs / Practicals	0
Tutorials	10
Planned learning activities	0
Independent student activities	91
Total	125

• Module Graded (numeric value) or Ungraded (Pass/Not Passed): Graded

Assessment type	Options	Weighting	Duration
Continuous Assessment		20%
University scheduled written examination	On-campus	80%	120 minutes
Other		0%
Total		100%	120 minutes

• Pass standard: 40%
• Could the result of this module be capped? No

• Are supplemental/resit registrations permitted? Yes
• University scheduled written examination (Autumn): 120 minutes, On-campus

• MP361

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