Course overview
Using methods from calculus and linear algebra, this course develops essential ideas in the study of curves and surfaces in three dimensions. The central focus are the various concepts of curvature that can be assigned to a surface, and how these concepts determine most of the fundamental properties of curves and surfaces. Geometric intuition will be a point of departure from where students will produce rigorous proofs, building on concepts learned in Multivariable Calculus, and preparing the way for the study of Riemannian Geometry.
- Euclidean Space
- Surfaces
- Geometry of Surfaces
Course learning outcomes
- Obtain information about curves in space using vectors and calculus
- Derive and be able to compute the main properties of surfaces and curvature, and apply the main results concerning these
- Demonstrate understanding of, and perform computations with, differential forms
- Build rigorous arguments and proofs
- Communicate results in writing in a clear manner, through text, equations, and suitable figures
Availability
Class details
Adelaide City Campus East
Group 1
Class number 24288
Section WS01
Size 25
Available 0
Class number 24287
Section FR01
Size 25
Available 0
Fee calculator
To display course fees, please select your status and program below:
We’re updating this Fee Calculator. It currently shows fees for programs only. Please check the relevant program for full fee details.
Study Abroad student tuition fees are available here.
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
If you are studying in a Professional Pathway Psychology or Clinical Psychology program, please refer to the Student Contributions amounts published here.
The Student Contribution amount displayed below is for students commencing a new program from 2021 onwards. If you are continuing in a program you commenced prior to 1 January 2021, or are commencing an Honours degree relating to an undergraduate degree you commenced prior to 1 January 2021, you may be charged a different Student Contribution amount from the amount displayed below. Please check the Student Contribution bands for continuing students here. If you are an international student, or a domestic student studying in a full fee paying place, and are continuing study that you commenced in 2025 or earlier, your fees will be available here before enrolments open for 2026.