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Unit of study_

MATH1002: Linear Algebra

MATH1002 is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a foundation requirement in the Faculty of Engineering. This unit of study introduces vectors and vector algebra, linear algebra including solutions of linear systems, matrices, determinants, eigenvalues and eigenvectors.

Code MATH1002
Academic unit Mathematics and Statistics Academic Operations
Credit points 3
Prerequisites:
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None
Corequisites:
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None
Prohibitions:
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MATH1012 or MATH1014 or MATH1902
Assumed knowledge:
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HSC Mathematics or MATH1111. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February)

At the completion of this unit, you should be able to:

  • LO1. apply mathematical logic and rigour to solving problems;
  • LO2. represent vectors both algebraically and geometrically in two and three dimensions, and perform arithmetic with them;
  • LO3. use vectors to solve classical geometric problems;
  • LO4. determine spanning families and check linear independence
  • LO5. perform and manipulate dot and cross products;
  • LO6. set up systems of linear equations;
  • LO7. solve systems of linear equations using Gaussian elimination;
  • LO8. perform matrix arithmetic and calculate matrix inverses and determinants;
  • LO9. find eigenvalues and eigenvectors;
  • LO10. diagonalise a matrix;
  • LO11. express mathematical ideas and arguments coherently in written form.