MATH426-20S1 (C) Semester One 2020

Geometry

15 points

Details:
Start Date: Monday, 17 February 2020
End Date: Sunday, 21 June 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 28 February 2020
  • Without academic penalty (including no fee refund): Friday, 29 May 2020

Description

The course deals with advanced topics in geometry

Geometry is the area of mathematics that studies the notions of shape, space and relative position. Attempts to prove Euclid’s parallel postulate led to the discovery of many different types of geometry.

In this course, we will focus on projective geometry as many other geometries such as affine, hyperbolic or Euclidean can be modelled using projective spaces. Projective geometry also forms the base for more advanced algebraic geometry.

We will investigate the role of the classical theorems of Desargues, and Pappus, study the cross ratio, investigate groups acting on projective spaces and study conic sections and quadrics. Finally, we will take an axiomatic approach to deal with non-Desarguesian projective planes.

Additional topics may include the link of projective spaces over a finite field with latin squares, coding theory and design theory.

Prerequisites

Subject to approval of the Head of School.

Course Coordinator / Lecturer

Geertrui Van de Voorde

Indicative Fees

Domestic fee $989.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH426 Occurrences

  • MATH426-20S1 (C) Semester One 2020