Unit convenor and teaching staff |
Unit convenor and teaching staff
Unit Convenor & Lecturer
Christopher Lustri
Contact via email
12 Wally's Walk 714
Mondays 10-11am
Christopher Lustri
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Credit points |
Credit points
3
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Prerequisites |
Prerequisites
(HSC Mathematics Extension 1 Band E3-E4 or Extension 2) or admission to BSc in Advanced Mathematics or BAdvSc or BActStud or BActStudBSc or BAppFinBActStud or BActStudBProfPrac
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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:
HURDLES: Attendance at, and reasonable engagement in, small group teaching activities in all first year mathematics units is compulsory. Participation will be assessed by tutors via rosters and observation of students' work during classes. Attendance and reasonable engagement in the class activities in, at least 10 out of 12 of the tutorial classes are requirements to pass the unit. This is a hurdle requirement.
ATTENDANCE and PARTICIPATION: Please contact the unit convenor as soon as possible if you have difficulty attending and participating in any classes. There may be alternatives available to make up the work. If there are circumstances that mean you miss a class, you can apply for a special consideration.
LATE SUBMISSION: LATE SUBMISSION OF WORK: All assignments and assessment tasks must be submitted by the official due date and time. No marks will be given for late work unless an extension has been granted following a successful application for Special Consideration. Please contact the unit convenor for advice as soon as you become aware that you may have difficulty meeting any of the assignment deadlines.
Information about the submission process of assessment tasks will be made available on iLearn.
FINAL EXAM POLICY: You are advised that it is Macquarie University policy not to set early examinations for individuals or groups of students. All students are expected to ensure that they are available until the end of the teaching semester, that is, the final day of the official examination period. The only excuse for not sitting an examination at the designated time is because of documented illness or unavoidable disruption. In these special circumstances, you may apply for special consideration via ask.mq.edu.au.
If you receive special consideration for the final exam, a supplementary exam will be scheduled in the interval between the regular exam period and the start of the next session. By making a special consideration application for the final exam you are declaring yourself available for a resit during the supplementary examination period and will not be eligible for a second special consideration approval based on pre-existing commitments. Please ensure you are familiar with the policy prior to submitting an application. You can check the supplementary exam information page on FSE101 in iLearn (bit.ly/FSESupp) for dates, and approved applicants will receive an individual notification one week prior to the exam with the exact date and time of their supplementary examination.
Name | Weighting | Hurdle | Due |
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Assignment 1 | 15% | No | Week 7 |
Assignment 2 | 15% | No | Week 12 |
Mid-semester Test | 10% | No | Week 8 (in-tutorial) |
Final Exam | 60% | No | Exam Period |
SGTA | 0% | Yes | weekly |
Due: Week 7
Weighting: 15%
Assignment based on all material up to this point.
Due: Week 12
Weighting: 15%
Assignment based on all material up to this point.
Due: Week 8 (in-tutorial)
Weighting: 10%
In-class one-hour test based on first six weeks of material.
Due: Exam Period
Weighting: 60%
Two hour final exam covering all taught material.
Due: weekly
Weighting: 0%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)
Attendance at, and reasonable engagement in, Small Group Teaching Activities (SGTA) in all first year mathematics units is compulsory.
Participation will be assessed by instructors via rosters and observation of students' work during classes.
Attendance and reasonable engagement in the class activities in, at least, 10 out of 12 of the classes are requirements to pass the unit. This is a hurdle requirement.
Lectures: You should attend all four lectures each week, making a total of four hours.
SGTA: You must attend and participate in at least 10 of the 12 weekly tutorial classes to pass this unit.
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.
Students are expected to have access to an internet enabled computer with a web browser and .pdf reader software. Several areas of the university provide wireless access for portable computers, and access to internet-enabled computers.
Difficulties with your home computer or internet connection do not constitute a reasonable excuse for lateness of, or failure to submit, assessment tasks.
Topics Covered | |
Week 1 | Algebra: Complex numbers: definitions, basic operations, equations with complex roots, modulus-argument form, De Moivre theorem, regions in the complex plane. |
Week 2 | Algebra: Polynomials: remainder theorem, factor theorem, rational roots, multiple roots, complex roots, relation between roots and coefficients. |
Week 3 | Algebra: Linear equations: solving systems of linear equations, applications. |
Week 4 | Algebra: Matrices: Matrices and basic properties, applications. |
Week 5 | Algebra: Determinants: definition and basic properties, applications. |
Week 6 | Algebra: Vectors: Vectors in 2 and 3 dimensions, inner product, cross product |
Week 7 |
Calculus: Number systems |
Mid-semester break | |
Week 8 |
Calculus: Functions Mid-term test |
Week 9 | Calculus: Limits and Continuity |
Week 10 | Calculus: Derivatives |
Week 11 | Calculus: Integration |
Week 12 | Calculus: Differential Equations |
Week 13 | Revision |
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:
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).
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 published on platform other than eStudent, (eg. iLearn, Coursera etc.) 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 or if you are a Global MBA student contact globalmba.support@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
If you are a Global MBA student contact globalmba.support@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.
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This graduate capability is supported by:
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This graduate capability is supported by:
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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: