Unit convenor and teaching staff 
Unit convenor and teaching staff
Christopher Lustri
Ji Li


Credit points 
Credit points
10

Prerequisites 
Prerequisites
(HSC Mathematics Extension 1 Band E3 and above or HSC Mathematics Extension 2) or admission to BMathSci or BAdvSc in Advanced Mathematics or BActStud or BActStudBSc or BAppFinBActStud or BActStudBProfPrac or BActStudProfPrac(Hons)

Corequisites 
Corequisites

Cobadged status 
Cobadged status

Unit description 
Unit description
This is the first mainstream university mathematics unit and is presented at a more advanced level than MATH1010. The material covered is essential for students studying mathematical or actuarial sciences. This subject provides an introduction to basic concepts and techniques in linear algebra and calculus. In algebra, topics covered include matrices, systems of linear equations and their applications, including the use of vectors in two and threedimensional Euclidean geometry and linear optimisation. In calculus, the concept of a function of one variable is explored, and the notions of limit and continuity are developed. The concept of the derivative as a suitable construct to describe rates of change is defined and techniques of differential and integral calculus of functions of a real variable are developed. Some simple differential equations and their role as quantitative models for dynamic processes, are discussed. Students are also introduced to the use of computers in mathematics, and develop modelling and problem solving skills through theoretical and practical problems. 
Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendarofdates
On successful completion of this unit, you will be able to:
To pass this unit you must:
Unless a Special Consideration request has been submitted and approved, a 5% penalty (of the total possible mark of the task) will be applied for each day a written report or presentation assessment is not submitted, up until the 7th day (including weekends). After the 7th day, a grade of ‘0’ will be awarded even if the assessment is submitted.
The submission time for all uploaded assignments is 11:55 pm. A 1hour grace period will be provided to students who experience a technical concern. For any late submission of timesensitive tasks, including the homework quizzes and midterm tests, please apply for Special Consideration.
Assessments where Late Submissions will be accepted:
Participation in SGTA Classes: Development of knowledge and skills requires continual practice. During SGTAs you will practice a range of mathematical techniques. To pass this hurdle assessment, you must be able to demonstrate your progress in developing and communicating knowledge and skills in 10 of the 12 SGTAs. This is a hurdle assessment meaning that failure to meet this requirement may result in a fail grade for the unit. Students are permitted up to two absences: additional absences will require a Special Consideration to be applied for (see below).
The Special Consideration Policy aims to support students who have been impacted by shortterm circumstances or events that are serious, unavoidable and significantly disruptive, and which may affect their performance in assessment.
Written Assessments/Quizzes/Tests: If you experience circumstances or events that affect your ability to complete the written assessments in this unit on time, please inform the convenor and submit a Special Consideration request through ask.mq.edu.au.
Weekly SGTA participation: To pass the unit you need to demonstrate ongoing development of skills and application of knowledge in 10 out of 12 of the weekly SGTA classes. If you miss a weekly practical class due to a serious, unavoidable and significant disruption, contact your convenor ASAP as you may be able to attend another class that week. If it is not possible to attend another class, you should still contact your convenor for access to class material to review in your own time. Note that a Special Consideration should only be applied for if you miss more than two of the weekly SGTA classes.
Name  Weighting  Hurdle  Due 

Test 1  12%  No  Week 5 
Assignment  10%  No  Week 12 
Test 2  12%  No  Week 11 
Participation in SGTA classes  0%  Yes  Weekly 
Weekly Quiz  16%  No  Weekly 
Examination  50%  No  Exam Period 
Assessment Type ^{1}: Quiz/Test
Indicative Time on Task ^{2}: 7 hours
Due: Week 5
Weighting: 12%
This will be an invigilated test held during the semester. It will test the ability of students to analyse and solve mathematical problems using concepts and techniques in linear algebra and calculus.
Assessment Type ^{1}: Problem set
Indicative Time on Task ^{2}: 7 hours
Due: Week 12
Weighting: 10%
This assignment will test the ability of students to solve theoretical mathematical problems using concepts and techniques from linear algebra and calculus, and prove mathematical statements.
Assessment Type ^{1}: Quiz/Test
Indicative Time on Task ^{2}: 7 hours
Due: Week 11
Weighting: 12%
This will be an invigilated test held during the semester. It will test the ability of students to analyse and solve mathematical problems using concepts and techniques in linear algebra and calculus.
Assessment Type ^{1}: Practicebased task
Indicative Time on Task ^{2}: 0 hours
Due: Weekly
Weighting: 0%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)
Development of knowledge and skills requires continual practice. During SGTAs you will practice a range of mathematical techniques. To pass this hurdle assessment, you must be able to demonstrate your progress in developing and communicating knowledge and skills in 10 out of 12 SGTAs.
Assessment Type ^{1}: Quiz/Test
Indicative Time on Task ^{2}: 9 hours
Due: Weekly
Weighting: 16%
The subject will have nine weekly online (iLearn) quizzes containing one to three short questions. The quizzes will last for one hour, and be available for a duration of one week. The quizzes will not run in Week 1, or weeks containing a midterm test. Each quiz is worth 2%, with the best eight quizzes counted to the overall grade.
Assessment Type ^{1}: Examination
Indicative Time on Task ^{2}: 15 hours
Due: Exam Period
Weighting: 50%
This will be an invigilated exam, held during the final exam period. It will test the ability of students to synthesise the concepts taught in the course in order to analyse and solve mathematical problems with various applications.
^{1} If you need help with your assignment, please contact:
^{2} Indicative timeontask is an estimate of the time required for completion of the assessment task and is subject to individual variation
Classes:
Course Notes: Student notes will be posted on iLearn.
Suggested textbooks:
The following textbooks are useful as supplementary resources, for additional questions and explanations. They are available from the Macquarie University library:
We will communicate with you via your university email or through announcements on iLearn. Queries to convenors can either be placed on the iLearn discussion board or emailed to your lecturers from your university email address. Please include the unit code (MATH1015) in the subject line of your email.
For the latest information on the University’s response to COVID19, please refer to the Coronavirus infection page on the Macquarie website: https://www.mq.edu.au/about/coronavirusfaqs. Remember to check this page regularly in case the information and requirements change during semester. If there are any changes to this unit in relation to COVID, these will be communicated via iLearn.
Planned Unit Schedule
Week  Lecture 1  Lecture 2 
1  Sets & Vectors  Linear Systems 
2  Matrices  Vector Spaces 
3  Gaussian Elimination  Gaussian Elimination 
4  Norms & Orthogonality  Determinants 
5  Determinant Properties  Projection and Cross Products 
6  Lines and Places  Functions 
7  Limits  Continuity 
8  Derivatives  Implicit Differentiation 
9  Antiderivatives  Indefinite Integration 
10  Definite Integration  Fundamental Theorem of Calculus 
11  Substitution & Integration by Parts  Differential Equations 
12  FirstOrder Differential Equations  SecondOrder Differential Equations 
13  Revision (Linear Algebra)  Revision (Calculus) 
Macquarie University policies and procedures are accessible from Policy Central (https://policies.mq.edu.au). Students should be aware of the following policies in particular with regard to Learning and Teaching:
Students seeking more policy resources can visit Student Policies (https://students.mq.edu.au/support/study/policies). It is your onestopshop for the key policies you need to know about throughout your undergraduate student journey.
To find other policies relating to Teaching and Learning, visit Policy Central (https://policies.mq.edu.au) and use the search tool.
Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/admin/otherresources/studentconduct
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
At Macquarie, we believe academic integrity – honesty, respect, trust, responsibility, fairness and courage – is at the core of learning, teaching and research. We recognise that meeting the expectations required to complete your assessments can be challenging. So, we offer you a range of resources and services to help you reach your potential, including free online writing and maths support, academic skills development and wellbeing consultations.
Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
The Writing Centre provides resources to develop your English language proficiency, academic writing, and communication skills.
The Library provides online and face to face support to help you find and use relevant information resources.
Macquarie University offers a range of Student Support Services including:
Got a question? Ask us via AskMQ, or contact Service Connect.
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.
Unit information based on version 2023.02 of the Handbook