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Unit of study_

MATH1902: Linear Algebra (Advanced)

This unit 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 foundations requirement in the Faculty of Engineering. It parallels the normal unit MATH1002 but goes more deeply into the subject matter and requires more mathematical sophistication.

Code MATH1902
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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MATH1002 or MATH1014
Assumed knowledge:
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(HSC Mathematics Extension 2) OR (90 or above in HSC Mathematics Extension 1) or equivalent

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

  • LO1. apply mathematical logic and rigour to solving problems;
  • LO2. express mathematical ideas coherently in written and oral form;
  • LO3. demonstrate fluency in vector and matrix arithmetic, and their applications to solving systems of equations;
  • LO4. solve routine problems of linear algebra with the help of a computer algebra system.
  • LO5. perform arithmetic of geometric vectors in the plane and in space, and in n-dimensional space;
  • LO6. perform and manipulate dot, cross and triple products and vector projections, with applications to lines and planes in space;
  • LO7. develop fluency with systems of equations and the methods of Gaussian and Gauss-Jordan elimination;
  • LO8. perform matrix arithmetic, calculate matrix inverses, determinants, eigenvalues and eigenvectors;
  • LO9. develop fluency with methods of diagonalisation and applications.