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MX4549: GEOMETRY (2017-2018)

Last modified: 24 May 2018 11:18

Course Overview

One of the aims of the course is to understand the mathematical concept of curvature. We will do this by first studying the geometry of polygonal surfaces, and then by looking at smooth surfaces in Euclidean space.

Polygonal surfaces provide a set of very easy examples with which we can explore the new ideas and quantities. They also allow us to develop the intuition needed in the later part of the course.

Course Details

Study Type Undergraduate Level 4
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus None. Sustained Study No
  • Professor Jarek Kedra

Qualification Prerequisites

  • Either Programme Level 3 or Programme Level 4

What courses & programmes must have been taken before this course?

  • Either MX3036 Metric and Topological Spaces (Studied) or MX3532 Metric and Topological Spaces (Passed)
  • Any Undergraduate Programme (Studied)

What other courses must be taken with this course?


What courses cannot be taken with this course?


Are there a limited number of places available?


Course Description

The geometry of polygonal complexes; manifolds, curves on manifolds, vector fields, simple mechanical systems, Riemannian metric, geodesics, curvature; examples from modern physics.

Further Information & Notes


This course alternates with MX4540 Knots.

Degree Programmes for which this Course is Prescribed


Contact Teaching Time

Sorry, we don't have that information available.

Teaching Breakdown


1st Attempt: 1 two-hour written examination (80%) and in-course assessment (20%).

Resit: If required and permitted by Regulations, there will be 1 two-hour written examination. The CAS mark will be based on the maximum of examination (100%) and examination (80%) together with in-course-assessment (20%).

Formative Assessment

In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact the Course Coordinator for feedback on the final examination.


In-course assessment will be marked and feedback provided to the students.

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