Unit convenor and teaching staff |
Unit convenor and teaching staff
Unit Convenor
Chris Meaney
Contact via chris.meaney@mq.edu.au
Lecturer
Ji Li
Contact via ji.li@mq.edu.au
Tutor
Garry Lawson
Contact via garry.lawson@mq.edu.au
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Credit points |
Credit points
3
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Prerequisites |
Prerequisites
HSC Mathematics Extension 1 Band E3 or HSC Mathematics Extension 2 or admission to BSc in Advanced Mathematics or BAdvSc or BActStud
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Corequisites |
Corequisites
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Co-badged status |
Co-badged status
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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.
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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:
Name | Weighting | Due |
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Five assignments | 20% | TBA |
Two Tests | 20% | TBA |
Final examination | 60% | University Examination Period |
Due: TBA
Weighting: 20%
Due: TBA
Weighting: 20%
Due: University Examination Period
Weighting: 60%
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 required text for MATH132 is available for download on
You should download and study these.
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 same material is covered in many texts. You should try several of these, adopting one which suits your personal style of learning.
More notes on elementary topics are available at:
The following texts are recommended for this unit, and are available from the CO-OP 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. Mathematical Induction. |
2 |
Complex numbers: modulus-argument form, De Moivre theorem, locus and regions in the complex plane |
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3 |
Polynomials: remainder theorem, factor theorem, rational roots |
Functions |
4 |
Polynomials: multiple roots, complex roots, relation between roots and coefficients |
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5 |
Linear equations, solving systems of linear equations |
Limits |
6 |
Applications of network flow, electrical networks, economics and chemistry |
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recess |
recess |
7 |
Matrices and basic properties |
Differentiation |
8 |
Applications of matrices |
Integration |
9 |
Determinants: definition and basic properties |
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10 |
Applications of determinants |
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11 |
Vectors in 2 and 3 dimensions, inner product, cross product |
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12 |
Applications of vectors |
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13 |
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.html
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Grade Appeal Policy http://mq.edu.au/policy/docs/gradeappeal/policy.html
Grievance Management Policy http://mq.edu.au/policy/docs/grievance_management/policy.html
Disruption to Studies Policy http://www.mq.edu.au/policy/docs/disruption_studies/policy.html The Disruption to Studies Policy is effective from March 3 2014 and replaces the Special Consideration Policy.
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/
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Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
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Satisfactory performance on supervised assessment tasks, such as tests and the final exam, is necessary to pass this unit. If there is a significant difference between a student's marks on supervised assessment tasks and on unsupervised assessment tasks, the scaling of these tasks may be adjusted when determining the final grade, to reflect more appropriately that student's performance on supervised tasks.