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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.
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