Unit convenor and teaching staff |
Unit convenor and teaching staff
Lecturer
Michael Batanin
Extra staff
Garry Lawson
Unit Convenor
Christopher Gordon
Extra staff
Carolyn Kennett
Michael Batanin
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Credit points |
Credit points
3
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Prerequisites |
Prerequisites
MATH132 or MATH135(HD)
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Corequisites |
Corequisites
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Co-badged status |
Co-badged status
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Unit description |
Unit description
The notion of linearity is developed in this unit through the introduction of the abstract notion of vector spaces. The new ideas are then used to further study systems of linear equations. The study of differential and integral calculus is taken further by the introduction of functions of two real variables and the study of first‐order and second‐order ordinary differential equations. The notion of a limit is enhanced by the study of sequences and series. Ideas from power series are then used to revisit differential equations.
The topics in this unit are studied with a degree of rigour and sophistication appropriate to better prepared students with a strong interest in the theoretical underpinnings of the subject. An alternative treatment of the same material from a less sophisticated point of view can be obtained by taking MATH136.
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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 |
---|---|---|
Five assignments | 20% | Week 4, 6, 8, 10, 12 |
Two Tests | 20% | Week 7, 11 |
Final examination | 60% | University Examination Period |
Due: Week 4, 6, 8, 10, 12
Weighting: 20%
Due: Week 7, 11
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 MATH133 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).
Additional notes Notes for Markov chains
http://www.sosmath.com/matrix/markov/markov.html http://aix1.uottawa.ca/~jkhoury/markov.htm Most books on linear algebra with applications will cover Markov chains. Some references have the columns summing to 1, others have the rows summing to 1 (depending on which way the state table is constructed). We will adopt the convention that the future state is on the vertical axis, so the columns sum to 1.
Orthogonality and least squares
These are covered in Chapter 6 of Lay. They are also in most texts on Linear Algebra, so you will find plenty of reference material in the Library and the Numeracy Centre.
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 |
TASK DUE |
1 |
Vector spaces (Introduction, proofs, subspaces) |
Sequences and series, convergence of sequences |
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2 |
Vector spaces (Span, Linear Independence) |
Convergence Tests of series |
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3 |
Vector spaces (Basis, Dimension) |
Power series | |
4 |
Vector spaces associated with matrices |
Taylor series |
Assignment 1 |
5 |
Functions of several real variables, Limits |
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6 |
Orthogonality |
Continuity, partial derivatives |
Assignment 2 |
7 |
Projections, Least Squares |
Tangent planes, chain rule |
Test 1 |
MID-SEMESTER BREAK | |||
8 |
Eigenvectors nd Eigenvalues |
Maxima and minima, Lagrange multipliers |
Assignment 3 |
9 |
Diagonalization |
First order ordinary differential equations |
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10 |
Applications: Markov Chains, Discrete Dynamical Systems |
Applications of first order ordinary differential equations |
Assignment 4 |
11 |
Applications: Systems of linear differential equations |
Higher order ordinary differential equations |
Test 2 |
12 |
Applications: Quadratic Forms |
Applications of ordinary differential equations |
Assignment 5 |
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.html
Grading Policy http://mq.edu.au/policy/docs/grading/policy.html
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/
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.
No extensions will be granted. Students who have not submitted the task prior to the deadline will be awarded a mark of 0 for the task, except for cases in which an application for special consideration is made and approved.
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://informatics.mq.edu.au/help/.
When using the University's IT, you must adhere to the Acceptable Use Policy. The policy applies to all who connect to the MQ network including students.
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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.
Date | Description |
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15/07/2015 | There are no changes |