Students
MATH704 – Research Topics in Mathematics 1
2018 – S2 Day
General Information
Download as PDF
| Unit convenor and teaching staff |
Unit convenor and teaching staff
Paul Bryan
Contact via email
12 WW 617
By appointment
|
|---|---|
| Credit points |
Credit points
4
|
| Prerequisites |
Prerequisites
Admission to MRes
|
| Corequisites |
Corequisites
|
| Co-badged status |
Co-badged status
|
| Unit description |
Unit description
This unit is study of a current topic of Mathematical research. In addition to mastering the material delivered in lectures, the student will be required to undertake independent reading and write a short report on what they have learned. This will be written using LaTeX, with instruction in this typesetting language and BibTeX as part of the unit's curriculum.
|
Important Academic Dates
Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates
Learning Outcomes
On successful completion of this unit, you will be able to:
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will gain research skills such as the ability to learn from resources beyond the classroom and provided lecture notes by reading and analysing sources such as text books and research papers.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Assessment Tasks
| Name | Weighting | Hurdle | Due |
|---|---|---|---|
| Assignments 1 | 15% | No | Week 4 |
| Assignment 2 | 15% | No | Week 8 |
| Assignment 3 | 15% | No | Week 12 |
| Exam | 55% | No | Exam period |
Assignments 1
Due: Week 4
Weighting: 15%
Assignment 1
On successful completion you will be able to:
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will gain research skills such as the ability to learn from resources beyond the classroom and provided lecture notes by reading and analysing sources such as text books and research papers.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Assignment 2
Due: Week 8
Weighting: 15%
Assignment 2
On successful completion you will be able to:
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will gain research skills such as the ability to learn from resources beyond the classroom and provided lecture notes by reading and analysing sources such as text books and research papers.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Assignment 3
Due: Week 12
Weighting: 15%
Assignment 3
On successful completion you will be able to:
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will gain research skills such as the ability to learn from resources beyond the classroom and provided lecture notes by reading and analysing sources such as text books and research papers.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Exam
Due: Exam period
Weighting: 55%
Final exam.
On successful completion you will be able to:
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Delivery and Resources
The following references may prove useful.
References:
-
-
Differential geometry of curves and surfaces, Manfredo do Carmo, Prentice-Hall (1976).
-
Curves and Surfaces, Sebastián Montiel and Antonio Ros, AMS (2009).
-
Elementary Differential Geometry, Christian Bär, Cambridge University Press (2010).
-
Differential Topology, Victor Guillemin and Alan Pollack, AMS (1974).
-
Riemannian Geometry, Manfredo do Carmo, Prentice-Hall (1976).
-
Introduction to smooth manifolds, John Lee, Spinger Verlag (2003).
-
Riemannian Manifolds – An Introduction To Curvature, John Lee, Spinger Verlag (1997)
-
Policies and Procedures
Macquarie University policies and procedures are accessible from Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central). Students should be aware of the following policies in particular with regard to Learning and Teaching:
- Academic Appeals Policy
- Academic Integrity Policy
- Academic Progression Policy
- Assessment Policy
- Fitness to Practice Procedure
- Grade Appeal Policy
- Complaint Management Procedure for Students and Members of the Public
- Special Consideration Policy (Note: The Special Consideration Policy is effective from 4 December 2017 and replaces the Disruption to Studies Policy.)
Undergraduate students seeking more policy resources can visit the Student Policy Gateway (https://students.mq.edu.au/support/study/student-policy-gateway). It is your one-stop-shop for the key policies you need to know about throughout your undergraduate student journey.
If you would like to see all the policies relevant to Learning and Teaching visit Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central).
Student Code of Conduct
Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/study/getting-started/student-conduct
Results
Results shown in iLearn, or released directly by your Unit Convenor, are not confirmed as they are subject to final approval by the University. Once approved, final results will be sent to your student email address and will be made available in eStudent. For more information visit ask.mq.edu.au.
Student Support
Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
Learning Skills
Learning Skills (mq.edu.au/learningskills) provides academic writing resources and study strategies to improve your marks and take control of your study.
Student Services and Support
Students with a disability are encouraged to contact the Disability Service who can provide appropriate help with any issues that arise during their studies.
Student Enquiries
For all student enquiries, visit Student Connect at ask.mq.edu.au
IT Help
For help with University computer systems and technology, visit http://www.mq.edu.au/about_us/offices_and_units/information_technology/help/.
When using the University's IT, you must adhere to the Acceptable Use of IT Resources Policy. The policy applies to all who connect to the MQ network including students.
Graduate Capabilities
PG - Discipline Knowledge and Skills
Our postgraduates will be able to demonstrate a significantly enhanced depth and breadth of knowledge, scholarly understanding, and specific subject content knowledge in their chosen fields.
This graduate capability is supported by:
Learning outcomes
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Assessment tasks
- Assignments 1
- Assignment 2
- Assignment 3
- Exam
PG - Critical, Analytical and Integrative Thinking
Our postgraduates will be capable of utilising and reflecting on prior knowledge and experience, of applying higher level critical thinking skills, and of integrating and synthesising learning and knowledge from a range of sources and environments. A characteristic of this form of thinking is the generation of new, professionally oriented knowledge through personal or group-based critique of practice and theory.
This graduate capability is supported by:
Learning outcomes
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will gain research skills such as the ability to learn from resources beyond the classroom and provided lecture notes by reading and analysing sources such as text books and research papers.
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Assessment tasks
- Assignments 1
- Assignment 2
- Assignment 3
- Exam
PG - Research and Problem Solving Capability
Our postgraduates will be capable of systematic enquiry; able to use research skills to create new knowledge that can be applied to real world issues, or contribute to a field of study or practice to enhance society. They will be capable of creative questioning, problem finding and problem solving.
This graduate capability is supported by:
Learning outcomes
- By the end of the course, students will understand the basic objects of study in differential geometry such as curves, surfaces and manifolds and in particular their curvature. Students will also have developed the techniques to do calculus and geometry on such objects.
- Students will gain research skills such as the ability to learn from resources beyond the classroom and provided lecture notes by reading and analysing sources such as text books and research papers.
Assessment tasks
- Assignments 1
- Assignment 2
- Assignment 3
- Exam
PG - Effective Communication
Our postgraduates will be able to communicate effectively and convey their views to different social, cultural, and professional audiences. They will be able to use a variety of technologically supported media to communicate with empathy using a range of written, spoken or visual formats.
This graduate capability is supported by:
Learning outcome
- Students will develop the ability to construct logical arguments and to write clearly on the course matter.
Assessment tasks
- Assignments 1
- Assignment 2
- Assignment 3
- Exam