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MATH306 Geometry of Curves and Surfaces

An introduction to differential geometry with a focus on the structure of two-dimensional surfaces.

This paper provides the necessary tools to describe two-dimensional surfaces in many applications, such as modelling air flow around cars, architecture, etc.

Paper title Geometry of Curves and Surfaces
Paper code MATH306
Subject Mathematics
EFTS 0.1500
Points 18 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $851.85
International Tuition Fees (NZD) $3,585.00

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Prerequisite
MATH 202 and MATH 203
Schedule C
Arts and Music, Science
Eligibility
This paper is particularly relevant to Mathematics and Physics majors.
Contact
joergf@maths.otago.ac.nz
Teaching staff
Professor Jōrg Frauendiener
Paper Structure
Main topics:
  • Curves in the plane and in space (parametrised curves, arc length, Frenet-Serret equations)
  • Regular surfaces (regular values, functions on surfaces, first and second fundamental forms)
  • Intrinsic geometry of surfaces (the Gauss theorem, parallel transport and geodesics, Gauss Bonnet and applications)
Teaching Arrangements
Three lectures and one tutorial per week.
Textbooks
Andrew Pressley, Elementary Differential Geometry, Springer Verlag (this book is freely downloadable in electronic form from Springer Verlag).
Course outline
View course outline for MATH 306
Graduate Attributes Emphasised
Critical thinking.
View more information about Otago's graduate attributes.
Learning Outcomes
  • Demonstrate in-depth understanding of geometric concepts
  • Capability to apply them in real-world problems

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Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

Lecture

Stream Days Times Weeks
Attend
L1 Monday 09:00-09:50 28-34, 36-41
Wednesday 09:00-09:50 28-34, 36-41
Friday 09:00-09:50 28-34, 36-41

Tutorial

Stream Days Times Weeks
Attend
T1 Monday 15:00-15:50 29-34, 36-41

An introduction to differential geometry with a focus on the structure of two-dimensional surfaces.

This paper provides the necessary tools to describe two-dimensional surfaces in many applications, such as modelling air flow around cars, architecture, etc.

Paper title Geometry of Curves and Surfaces
Paper code MATH306
Subject Mathematics
EFTS 0.1500
Points 18 points
Teaching period Second Semester
Domestic Tuition Fees Tuition Fees for 2018 have not yet been set
International Tuition Fees Tuition Fees for international students are elsewhere on this website.

^ Top of page

Prerequisite
MATH 202 and MATH 203
Schedule C
Arts and Music, Science
Eligibility
This paper is particularly relevant to Mathematics and Physics majors.
Contact
joergf@maths.otago.ac.nz
Teaching staff
Professor J?ìrg Frauendiener
Paper Structure
Main topics:
  • Curves in the plane and in space (parametrised curves, arc length, Frenet-Serret equations)
  • Regular surfaces (regular values, functions on surfaces, first and second fundamental forms)
  • Intrinsic geometry of surfaces (the Gauss theorem, parallel transport and geodesics, Gauss Bonnet and applications)
Teaching Arrangements
Three lectures and one tutorial per week.
Textbooks
Andrew Pressley, Elementary Differential Geometry, Springer Verlag (this book is freely downloadable in electronic form from Springer Verlag).
Course outline
View course outline for MATH 306
Graduate Attributes Emphasised
Critical thinking.
View more information about Otago's graduate attributes.
Learning Outcomes
  • Demonstrate in-depth understanding of geometric concepts
  • Capability to apply them in real-world problems

^ Top of page

Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

Lecture

Stream Days Times Weeks
Attend
L1 Monday 09:00-09:50 28-34, 36-41
Wednesday 09:00-09:50 28-34, 36-41
Friday 09:00-09:50 28-34, 36-41

Tutorial

Stream Days Times Weeks
Attend
T1 Monday 15:00-15:50 29-34, 36-41