Unit convenor and teaching staff 
Unit convenor and teaching staff
Lecturer
Michael Batanin
Contact via 9850 8926
12 Wally's Walk (E7A) 706
Wednesday 910
Convenor
Paul Smith
Contact via 9850 8944
12 Wally's Walk (E7A) 726
Tuesday 56
Michael Batanin


Credit points 
Credit points
3

Prerequisites 
Prerequisites
MATH132 or MATH135(HD)

Corequisites 
Corequisites

Cobadged status 
Cobadged status

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.

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, 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  See iLearn 
One test  10%  No  See iLearn 
Final examination  60%  No  University Examination Period 
Due: See iLearn
Weighting: 30%

Due: See iLearn
Weighting: 10%

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 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.
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.
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.
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 
Vector spaces (Introduction, proofs, subspaces) 
Sequences and series, convergence of sequences 
2 
Vector spaces (Span, Linear Independence) 
Convergence Tests of series 
3 
Vector spaces (Basis, Dimension) 
Power series 
4 
Vector spaces associated with matrices 
Taylor series 
5 
Functions of several real variables, Limits 

6 
Orthogonality 
Continuity, partial derivatives 
7 
Projections, Least Squares 
Tangent planes, chain rule 
MIDSEMESTER BREAK  
8 
Eigenvectors nd Eigenvalues 
Maxima and minima, Lagrange multipliers 
9 
Diagonalization 
First order ordinary differential equations 
10 
Applications: Markov Chains, Discrete Dynamical Systems 
Applications of first order ordinary differential equations 
11 
Applications: Systems of linear differential equations 
Higher order ordinary differential equations 
12 
Applications: Quadratic Forms 
Applications of ordinary differential equations 
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.
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.
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.
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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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Date  Description 

28/07/2017  Changes to the Resources Section. 