Unit convenor and teaching staff |
Unit convenor and teaching staff
Unit Convenor
Ji Li
Contact via 98506146
Room 710, Building E7A
Lecturer
Christopher Green
Contact via to be advised
to be advised
to be advised
Lecturer
Catherine Penington
Contact via to be advised
to be advised
to be advised
Christopher Green
|
---|---|
Credit points |
Credit points
3
|
Prerequisites |
Prerequisites
MATH235
|
Corequisites |
Corequisites
|
Co-badged status |
Co-badged status
|
Unit description |
Unit description
This unit deals with two of the most fundamental concepts in analysis – complex analysis and vector analysis. Complex analysis is the study of complex-valued functions of complex variables. Two approaches to the study of complex-valued functions of one complex variable are discussed. The first of these, usually attributed to Riemann, is based on differentiation and involves pairs of partial differential equations called the Cauchy-Riemann equations. The second approach, usually attributed to Cauchy, is based on integration and depends on a fundamental theorem known nowadays as Cauchy's integral theorem. The concept of vector analysis provides the tools for modelling physical phenomena such as fluid flow, electromagnetic and other field-based theories. We consider vector fields and integrals over paths and surfaces, and develop an understanding of the famous integration theorems of Green, Stokes and Gauss. These theorems transform physical laws expressed in differential form to integral form.
|
Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates
On successful completion of this unit, you will be able to:
General Assessment Information HURDLES:
This unit has no hurdle requirements. This means that there are no second chance examinations and assessments if you happen to fail at your first attempt, and your final grade is determined by adding the marks obtained for your examinations and assessments. Students should aim to get at least 60% for the course work in order to be reasonably confident of passing the unit. IMPORTANT: If you apply for Disruption to Study for your final examination, you must make yourself available for the week of December 11 – 15, 2017. If you are not available at that time, there is no guarantee an additional examination time will be offered. Specific examination dates and times will be determined at a later date
Name | Weighting | Hurdle | Due |
---|---|---|---|
Three assignments | 30% | No | week 4, week 8, week 12 |
One Test | 20% | No | week 8 |
Final Exam | 50% | No | exam period |
Due: week 4, week 8, week 12
Weighting: 30%
Due: week 4, week 8 week 12 Weighting: 30%
Problem based assignments
This Assessment Task relates to the following Learning Outcomes:
Due: week 8
Weighting: 20%
Due: week 8 Weighting: 20%
Mid Semester test
This Assessment Task relates to the following Learning Outcomes:
Due: exam period
Weighting: 50%
Due: exam period Weighting: 50%
The final exam contains two parts.
This Assessment Task relates to the following Learning Outcomes:
Lectures: you should attend two hours of each lecture stream each week, making a total of four hours.
Tutorials: you should attend one tutorial each week.
The online notes are intended primarily as a source of reference. These are not intended to be treated as the only source for learning.
The following texts provide useful references for various sections of the course:
Other similar texts are available in the Library.
WEEK |
COMPLEX ANALYSIS |
VECTOR CALCULUS |
TASK DUE |
1 |
Complex numbers, polar representation, polynomials, functions |
Paths |
|
2 |
Sequences and limits, series |
||
3 |
Series and convergence tests |
Vector Fields |
|
4 |
Exponential, logarithm and trigonometric functions |
Assignment 1 |
|
5 |
Continuity and differentiation, Cauchy-Riemann equations |
Integrals over paths |
|
6 |
Harmonic functions, power series |
Assignment 2 |
|
7 |
Contours and contour integrals, path independence |
Parametrised surfaces |
|
MID-SEMESTER BREAK |
|||
8 |
Cauchy's Theorem, Cauchy's Integral Formula |
Integrals over surfaces |
Test |
9 |
Applications, Liouville's Theorem, Fundamental Theorem of Algebra |
Assignment 3 | |
10 |
Singularities, residues, Taylor and Laurent series |
Integration theorems: Green's theorem, Stokes' thorem and Gauss' theorem |
|
11 |
Evaluation of trigonometric integrals |
Assignment 4 | |
12 |
Further evaluation of real integrals |
|
|
13 |
Revision |
Revision |
Assignment 5 |
Macquarie University policies and procedures are accessible from Policy Central. Students should be aware of the following policies in particular with regard to Learning and Teaching:
Academic Honesty Policy http://mq.edu.au/policy/docs/academic_honesty/policy.html
Assessment Policy http://mq.edu.au/policy/docs/assessment/policy_2016.html
Grade Appeal Policy http://mq.edu.au/policy/docs/gradeappeal/policy.html
Complaint Management Procedure for Students and Members of the Public http://www.mq.edu.au/policy/docs/complaint_management/procedure.html
Disruption to Studies Policy (in effect until Dec 4th, 2017): http://www.mq.edu.au/policy/docs/disruption_studies/policy.html
Special Consideration Policy (in effect from Dec 4th, 2017): https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policies/special-consideration
In addition, a number of other policies can be found in the Learning and Teaching Category of Policy Central.
Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/support/student_conduct/
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.
Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
Learning Skills (mq.edu.au/learningskills) provides academic writing resources and study strategies to improve your marks and take control of your study.
Students with a disability are encouraged to contact the Disability Service who can provide appropriate help with any issues that arise during their studies.
For all student enquiries, visit Student Connect at ask.mq.edu.au
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.
Our graduates will also be capable of creative thinking and of creating knowledge. They will be imaginative and open to experience and capable of innovation at work and in the community. We want them to be engaged in applying their critical, creative thinking.
This graduate capability is supported by:
We want our graduates to have emotional intelligence and sound interpersonal skills and to demonstrate discernment and common sense in their professional and personal judgement. They will exercise initiative as needed. They will be capable of risk assessment, and be able to handle ambiguity and complexity, enabling them to be adaptable in diverse and changing environments.
This graduate capability is supported by:
Our graduates will have enquiring minds and a literate curiosity which will lead them to pursue knowledge for its own sake. They will continue to pursue learning in their careers and as they participate in the world. They will be capable of reflecting on their experiences and relationships with others and the environment, learning from them, and growing - personally, professionally and socially.
This graduate capability is supported by:
Our graduates will take with them the intellectual development, depth and breadth of knowledge, scholarly understanding, and specific subject content in their chosen fields to make them competent and confident in their subject or profession. They will be able to demonstrate, where relevant, professional technical competence and meet professional standards. They will be able to articulate the structure of knowledge of their discipline, be able to adapt discipline-specific knowledge to novel situations, and be able to contribute from their discipline to inter-disciplinary solutions to problems.
This graduate capability is supported by:
We want our graduates to be capable of reasoning, questioning and analysing, and to integrate and synthesise learning and knowledge from a range of sources and environments; to be able to critique constraints, assumptions and limitations; to be able to think independently and systemically in relation to scholarly activity, in the workplace, and in the world. We want them to have a level of scientific and information technology literacy.
This graduate capability is supported by:
Our graduates should be capable of researching; of analysing, and interpreting and assessing data and information in various forms; of drawing connections across fields of knowledge; and they should be able to relate their knowledge to complex situations at work or in the world, in order to diagnose and solve problems. We want them to have the confidence to take the initiative in doing so, within an awareness of their own limitations.
This graduate capability is supported by:
We want to develop in our students the ability to communicate and convey their views in forms effective with different audiences. We want our graduates to take with them the capability to read, listen, question, gather and evaluate information resources in a variety of formats, assess, write clearly, speak effectively, and to use visual communication and communication technologies as appropriate.
This graduate capability is supported by:
As local citizens our graduates will be aware of indigenous perspectives and of the nation's historical context. They will be engaged with the challenges of contemporary society and with knowledge and ideas. We want our graduates to have respect for diversity, to be open-minded, sensitive to others and inclusive, and to be open to other cultures and perspectives: they should have a level of cultural literacy. Our graduates should be aware of disadvantage and social justice, and be willing to participate to help create a wiser and better society.
This graduate capability is supported by:
We want our graduates to be aware of and have respect for self and others; to be able to work with others as a leader and a team player; to have a sense of connectedness with others and country; and to have a sense of mutual obligation. Our graduates should be informed and active participants in moving society towards sustainability.
This graduate capability is supported by:
Date | Description |
---|---|
13/07/2017 | Deleted the information referring students to the computers in the Numeracy Centre |