MTH4121 Analysis on manifolds
Faculty of Science
MTH4121 Analysis on manifolds is a level 4, 6-credit-point, postgraduate unit from the Faculty of Science. It isn't offered in 2021. It has no prerequisites.
- Credit points
- 6
- Offered in 2021
- Not offered
- Assessment
- Exam 60%
- and 1 other task
The 2027 handbook has no page for MTH4121. This is its 2021 entry, the latest one.
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Requisites
Before MTH4121
No prerequisites or corequisites besides the enrolment rules below.
After MTH4121
No unit lists MTH4121 as a prerequisite in the 2021 handbook.
Equivalent units
The same content under another code. Only one of them counts.
Overview
In this course, you will investigate manifolds using the tools of analysis. In this setting, curvature and topology become crucial. The topics covered may include Riemann surfaces, Lie derivatives, Hodge theory, spectral theory on manifolds, comparison theorems, topics in mathematical physics, and geometric differential equations such as the minimal surface equation, geometric evolution equations, and harmonic maps. You will also examine some foundational theorems in the field, such as the uniformisation theorem, the resolution of the Yamabe problem, or the positive mass theorem.
Offerings in 2021
The 2021 handbook lists no offerings for MTH4121.
Assessment
- In-semester assessment40%
- Examination (3 hours and 10 minutes)Threshold hurdle60%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Apply sophisticated tools of mathematical analysis to understand manifolds in a variety of settings
- 2
Demonstrate a profound understanding of connections between the geometry of a manifold, and the analytic properties of the manifold.
- 3
Communicate complex information and results with clarity.
Workload and teaching
- Applied sessions11 hours
- Lectures36 hours
- Teaching approachActive learning
- 3 hours of lectures
- 1-hour tutorial and
- 8 hours of independent study per week
Active learning will occur in lectures and applied classes.
Contacts
- Chief Examiners
- Dr Julie Clutterbuck
- Unit Coordinators
- Dr Julie Clutterbuck
Common questions
What are the prerequisites for MTH4121?
MTH4121 has no prerequisites, but enrolment rules apply.
When is MTH4121 offered?
MTH4121 has no offerings listed in the 2021 handbook.
Does MTH4121 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.
More details
- Credit points
- 6
- Level
- 4
- Study level
- Postgraduate
- Faculty
- Faculty of Science
- Organisational unit
- School of Mathematics
- Type
- Coursework
- EFTSL
- 0.125
- Student contribution
- SCA Band 1
- Study abroad
- Available
- Handbook years
- 20202021