Handbook - Higher Topology and Differential Geometry

Overview

Topology and differential geometry both deal with the study of shape: topology from a continuous and differential geometry from a differentiable viewpoint.
This course begins with a study of curves in the plane and in space focusing on how they bend. Surfaces are also introduced, studying the first and second fundamental forms introduced by Gauss, the various measures of curvature and what they mean for the external and internal appearance and properties of surfaces. The course also provides an opportunity to prove the important Gauss-Bonnet theorem and use it to examine topological properties of surfaces, such as the Euler Characteristic.

This course is part of the core Higher Pure Mathematics sequence MATH3711/MATH3611/MATH3701 which is designed to be taken in that order. In particular, it is strongly recommended that students complete MATH3611 before taking MATH3701.

Conditions for Enrolment

Prerequisite: 12 UOC of Level 2 Mathematics with an average mark of at least 70, including MATH2111 or MATH2011 (CR) or MATH2510 (CR) and MATH2601 or MATH2501 (CR), or permission from Head of Department.

Exclusion Courses

Delivery

In-person - Standard (usually weekly or fortnightly)

Please note that the above delivery information is an indication on how this course may be delivered within the year. Delivery mode(s) for each term can be viewed on other sources such as myUNSW and class timetable site.

This Handbook is a comprehensive catalogue of our offerings and includes courses that can be taken to satisfy program requirements irrespective as to their availability for a particular year. Availability of courses is best checked using filters on this site or on the class timetable site.

Fees

Type	Amount
Commonwealth Supported Students (if applicable)	$579
Domestic Students	$7320
International Students	$7320

Disclaimer

Where a fee is displayed as “Not Applicable”, including some Work Experience and UNSW Canberra courses, please contact the relevant Faculty for any enquiry.

Note that the University reserves the right to vary student fees in line with relevant legislation. The fee information is provided as a guide and more specific information about fees, including policy, can be found here.

Commonwealth Supported Students:

Please refer to the information about new Student Contribution band classifications. Note that grandfathering arrangements are applicable for some cohorts of students, and other special arrangements apply for a limited number of programs. The Field of Education displayed on the right-hand side of this page may be applicable in understanding which fee rate will apply to you.

Where a Commonwealth Supported fee is displayed it does not guarantee that such places are available.

Pre-2019 Handbook Editions

Access past handbook editions (2018 and prior)

Faculty
Faculty: The primary academic unit in which related disciplines of teaching and research are conducted.

School
School: The academic unit responsible for teaching in disciplines or subject areas (school is part of a faculty).

Study Level
Study Level refers to the academic level of a program, specialisation or course.

Undergraduate

Offering Terms
Depending on the Academic Calendar type, an offering term generally refers to an academic teaching period of between 8-13 weeks in duration.

Term 3

Campus

Sydney

Academic Calendar

Field of Education

010101 Mathematics

Timetable

Course Outline
This link will take you to UNSW Course Outline website that is first released for all faculties for 2024 academic year. Note that the Handbook publishes course information regardless of whether the course is offered (and therefore has a course outline available), or not.