MATH3061 Geometry and Topology

General Information

This page contains information on the Senior normal Unit of Study MATH3061 Geometry and Topology.

• Taught in Semester 2.
• Credit point value: 6.
• Classes per week: Three lectures and one tutorial.
• Lecturer(s): Jenny Henderson and Adrian Nelson.

Please refer to the Senior Mathematics and Statistics Handbook for all questions relating to Senior Mathematics and Statistics. In particular, see the MATH3061 handbook entry for further information relating to MATH3061.

You may also view the Faculty Handbook entry for MATH3061 in the central units of study database.

INFORMATION SHEET

The MATH3061 Information Sheet is available online in pdf format, providing details about the lecturers and lecture times, consultation times, tutorials, assessment and textbooks.

EXAM INFORMATION Please read the Exam Information Sheet for details of the structure of the exam paper, and also for Pre-Exam Consultation Times.

CLASS REPRESENTATIVE

Elizabeth Ashton-Jones

LECTURE NOTES - TOPOLOGY

Illustrative figures   

TOPOLOGY TUTORIALS

Tutorial 7   Tutorial 7 with solutions.     Diagrams for Tutorial7.

Tutorial 8    Tutorial 8 with solutions.     Diagrams for Tutorial 8.

Tutorial 9   Tutorial 9 with solutions.     Diagrams for Tutorial 9.

Tutorial 10   Tutorial 10 with solutions.

Tutorial 11   Tutorial 11 with solutions.     Diagrams for Tutorial 11.

TOPOLOGY ASSESSMENT

The topology assignment, Assignment 2 was collected in week 11. Solutions and Diagrams.

The assignment has now been marked.

Sample Topology Quiz and Answers.

The Topology Quiz will be held in the Monday 12:00 lecture in week 13.

Marked Quizzes were handed back in the Tuesday lecture.

The Quiz was on the classification of surfaces.

PAST TOPOLOGY EXAM QUESTIONS

Questions on the classification of surfaces can be found in past (pre-2006) MATH3001 Topology exam papers. Here are the pages with the relevant questions. Note they refer to edge equations where we used edge words.

PAST EXAM QUESTIONS - GEOMETRY

Exam questions from past papers in the old course Math3006 Geometry (pre-2006) are available on the Fisher Library website . Some are no longer applicable to the present course. Here is some information on which questions you can ignore.

LECTURE NOTES - GEOMETRY (O'BRIAN NOTES)

Handout for lecture 1    Handout for lecture 4     Handout for lecture 13     Handout for lecture 15

Reading for Week 1: pages 1-29, but not the section on Symmetries. Please note that the coordinate formula for a halfturn does not appear in this part of the O'Brian notes. FYI, the image of a point (x,y) under a halfturn about point P(p,q) is (2p-x,2q-y).
Reading for Week 2: pages 30-36.
Reading for Week 3: pages 37-40, omit Chapter 3, then pages 51-56.
Reading for Week 4: pages 57-58, omit the rest of Chapter 4 and all of Chapter 5, then pages 97-99.
Reading for Week 5: pages 100-107.
Reading for Week 6: page 113 to first half of page 121.

GEOMETRY TUTORIALS

Tutorial 1    Tutorial 1 with solutions    Tutorial 2    Tutorial 2 with solutions    Tutorial 3    Tutorial 3 with solutions
Tutorial 4    Tutorial 4 with solutions    Tutorial 5    Tutorial 5 with solutions    Tutorial 6    Tutorial 6 with solutions

GEOMETRY ASSESSMENT

Assignment 1
Assignment 1 solutions
A cover sheet must be completed and attached to your assignment.
Quiz 1 (week 6)
The quiz covered the material from lecture 8 (August 11) to lecture 14 (August 25) inclusive, on affine geometry (including identifying isometries by their orthogonal derivative matrices) and the first part of projective geometry (up to but not including material on conic sections). The best preparation is to read the appropriate lecture notes and work through the following tutorial exercises and make sure you understand them: Tutorial 3 questions 4 - 7 only, Tutorial 4, Tutorial 5 questions 1 - 3 only.

ENQUIRIES

If you have any enquiries about this course, please email: MATH3061@maths.usyd.edu.au.
If you experience problems reading pdf files on-line, here are some useful tips.

Timetable