Unit convenor and teaching staff 
Unit convenor and teaching staff
Convenor
Adam Sikora
Contact via adam.sikora@mq.edu.au
E7A 7.21
Lecturer
Christopher Lustri
Contact via christopher.lustri@mq.edu.au
E7A 7.14


Credit points 
Credit points
3

Prerequisites 
Prerequisites
(HSC Mathematics Extension 1 Band E3E4 or Extension 2) or admission to BSc in Advanced Mathematics or BAdvSc or BActStud

Corequisites 
Corequisites

Cobadged status 
Cobadged status

Unit description 
Unit description
This is the first mainstream mathematics unit for students who have entered the university with a strong background in mathematics. It is highly recommended for students with a serious interest in science and technology, and recommended for students in many other areas who wish to develop their mathematical knowledge with attention to the detail required for a rigorous development of the subject. Apart from some brief discussion on complex numbers and congruences, the main topic in the algebra half of this unit concerns linearity and the interplay between algebra and geometry. Plane geometry is first used to motivate the study of systems of linear equations. Algebraic techniques involving matrices and determinants are then developed to study these problems further. The algebraic machinery developed is then used to study geometrical problems in three‐dimensional space. The notion of a limit is developed to a more sophisticated level than in secondary school mathematics, and this is used to study the differential and integral calculus involving functions of one real variable to a far greater depth than before. Some numerical techniques for integration are also discussed. Students who do not have the required background for this unit can take MATH135 which studies the same material, but from a less sophisticated standpoint.

Information about important academic dates including deadlines for withdrawing from units are available at http://students.mq.edu.au/student_admin/enrolmentguide/academicdates/
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. 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 July 24 – 28, 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  See ilearn. 
Class test  10%  No  See ilearn. 
Final examination  60%  No  University Examination Period 
Due: See ilearn.
Weighting: 30%
See announcements in ilearn for the assignment exercises.
Due: See ilearn.
Weighting: 10%
Midsemester test will be held in tutorials.
Due: University Examination Period
Weighting: 60%
Supervised by Academic Programme Section.
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 following texts are recommended for this unit, and are available from the COOP Bookshop on campus, and are in the reference section of the Library.
Other similar texts are available in the Library, and for reference in the Numeracy Centre (C5A 225).
Students are expected to have access to an internet enabled computer with a web browser and Adobe Reader software. Several areas of the university provide wireless access for portable computers. There are computers for student use in the Library and in the Numeracy Centre (C5A 255).
Difficulties with your home computer or internet connection do not constitute a reasonable excuse for lateness of, or failure to submit, assessment tasks.
Week 
Algebra 
Calculus 
1 
Complex numbers: definitions, basic operations, equations with complex roots 
The real numbers. 
2 
Complex numbers: modulusargument form, De Moivre theorem, locus and regions in the complex plane 
Mathematical Induction. 
3 
Polynomials: remainder theorem, factor theorem, rational roots 
Limit of sequence, Functions 
4 
Polynomials: multiple roots, complex roots, relation between roots and coefficients 
Limit of functions 
5 
Linear equations, solving systems of linear equations 
Continuity, derivative 
6 
Applications of network flow, electrical networks, economics and chemistry 
Properties of derivative 
7 
Matrices and basic properties 
Differential 



8 
Applications of matrices 
Mean value theorem 
9 
Determinants: definition and basic properties 
Antiderivative 
10 
Applications of determinants 
Integration 
11 
Vectors in 2 and 3 dimensions, inner product, cross product 
Fundamental theorem of calculus 
12 
Applications of vectors 
Applications of definite integrals 
13 
Revision 
Revision 
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/strategyplanningandgovernance/universitypoliciesandprocedures/policies/specialconsideration
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.
For all student enquiries, visit Student Connect at ask.mq.edu.au
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 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 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 disciplinespecific knowledge to novel situations, and be able to contribute from their discipline to interdisciplinary solutions to problems.
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:
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:
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 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:
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 openminded, 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:
Date  Description 

23/02/2017  Updating URL links 
20/02/2017  Following move to a new building, office numbers were corrected. 
15/02/2017  Following move, new office numbers were added. 