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Differential Geometry (MATH0020)

Key information

Faculty
Faculty of Mathematical and Physical Sciences
Teaching department
Mathematics
Credit value
15
Restrictions
This module is normally taken by third year students on single or combined honours Mathematics degrees, who have taken MATH0003 Analysis 1, MATH0005 Algebra 1, and MATH0011 Mathematical Methods 2.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

This course concerns the geometry of smooth curves and surfaces in R3. We will begin by looking at local properties, i.e., properties such as curvature, which are defined using a small neighbourhood of a point. We will go on to prove global results in which we study the curve or surface as whole. For example, the Gauss-Bonnet Theorem relates the geometry and topology of a surface. We will study special surfaces such as minimal surfaces, which are natural models for soap films.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 2 ÌýÌýÌý Undergraduate (FHEQ Level 6)

Teaching and assessment

Mode of study
In person
Methods of assessment
90% Exam
10% Coursework
Mark scheme
Numeric Marks

Other information

Number of students on module in previous year
25
Module leader
Professor Mahir Hadzic
Who to contact for more information
math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 8th April 2024.

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