Note. Many of these links will become active only later in the course.
As stated in class and in notes, this course is about the fundamentals of linear algebra and their use in the real world. This link provides some excellent examples of how mathematics is being used to solve important problems concerning, for example, archaeology, black holes, cancer tumors, carbon sequestration, climate change, ecology, epidemics, face surgery, heart valves, oil exploration, protein behaviour, quantum computers, resisting disease, stock markets, weather forecasts.
For another website which shows the relevance of mathematics in everyday life, visit Plus Magazine. This is part of the Millennium Mathematics Project (MMP), a long term initiative based in Cambridge, England, and active across the UK and internationally. The MMP aims to help people of all ages and abilities share in the excitement of mathematics and understand the enormous range and importance of its applications to science and commerce. One of the managers of this site is Rachel Thomas, an ex-student of UWA.Calmaeth: this link leads to Calmaeth for linear algebra, which involves weekly online assessment for M1010.
Beware. In Calmaeth, "week 1" means the week ending 6 August. Also, in weeks 12 and 13, the Calmaeth Practice Questions use some words and expressions like "rotations and reflections", "LU-factorization" and "diagonalization" which are not covered in M1010, so you can ignore them. But you should be able to complete the Assessed Questions on "determinants" and "eigenvalues" in those weeks.Map of UWA: shows location of Lecture Theatres.
Here are links to the solutions of LA Tests in recent semesters (beware: in previous semesters, calculus and linear algebra tests were conducted separately, there were only two tests for each half in some semesters, and sometimes their duration differed between semesters). 2008S1LATest1solns ; 2008S1LATest2solns ; 2008S2LATest1solns ; 2008S2LATest2solns ; 2008S2LATest3solns ; 2009S1LATest1solns ; 2009S1LATest2solns ; 2009S2LATest1solns ; 2009S2LATest2solns ; 2010S1LATest1solns ; 2010S1LATest2solns ;
Trial Linear Algebra Exam: ...likely (not certain) content and standard of linear algebra half of Final Exam.
Beware. The linear algebra half of M1010 changed significantly in 2008, so you may not be able to understand some linear algebra questions on M1010 exam papers before 2008. The "Trial Linear Algebra Exam" roughly indicates what MAY appear in the M1010 final exam. ALL of its questions are taken from linear algebra worksheets, workshops and tests during this semester.Previous exam papers are available on the library website. No solutions are available for any (final or trial) exam papers.
Beware. Questions on the linear algebra half of the final exam will NOT be exactly like those on the Trial Linear Algebra Exam, and they will NOT be taken directly from worksheets during semester. Marks for parts of questions may also be different.
Linear Algebra Notes [LAN]: the following notes have been used for over 10 years at UWA (except Chapter 4, whose content was changed in 2008), and they constitute Recommended Reading for this half of M1010. You should print a copy of them for use throughout this semester.
Lecture Notes: the following notes constitute the basis for my lectures in M1010 (Linear Algebra). They aim to show how linear algebra can be used to explain and predict various phenomena in the real world. However, like all of science and engineering, we need to first consider fundamental aspects of the subject, so we understand both its advantages and its limitations, and that is the emphasis of the course. For your interest, various Applications and Explorations are scattered throughout the course, but they are not examinable.
Lecture Schedule for LA: timetable for lectures on linear algebra each week, and weeks for Tests and Tutorials on Calculus and Linear Algebra.
Tutorials: these are times when you will be given help in understanding basic ideas and methods in linear algebra. For example, you can raise questions about the Review of Basic Algebra (see above) or Workshops or Worksheets or Tests or the problems in [LAN]. Tutorials provide you with an opportunity to discuss, question and analyse many facets of linear algebra which may concern you. What you get out of a tutorial depends very much on what you put into it. The liveliness and value of a tutorial depends to some degree on the tutor but much more on the students, so be prepared to ask questions and make comments.
Workshops: these are times when you can discuss difficult topics in the course with your lecturer and practise doing some extra problems, with guidance readily available. They commence in the 2nd week of semester.
Note 1. The Lecture Schedule tells you the weeks in which the Workshop will be replaced by a Test.
Note 2. No solutions to workshop problems will appear here: they will be discussed only at the Workshops.
Worksheet 1 and solutions
Worksheet 2 and solutions
Worksheet 3 and solutions
Worksheet 4 and solutions
Worksheet 5 and solutions
Worksheet 6 and solutions
Worksheet 7 and solutions
Worksheet 8 and solutions
Worksheet 9 and solutions