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Unit of study_

MATH1014: Introduction to Linear Algebra

This unit is an introduction to Linear Algebra. Topics covered include vectors, systems of linear equations, matrices, eigenvalues and eigenvectors. Applications in life and technological sciences are emphasised.

Code MATH1014
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 MATH1902
Assumed knowledge:
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Coordinate geometry, basic integral and differential calculus, polynomial equations and algebraic manipulations, equivalent to HSC Mathematics

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

  • LO1. represent vectors both algebraically and geometrically in R2 and R3
  • LO2. perform operations on vectors (addition, scalar multiplication, dot and cross products)
  • LO3. find equations of lines and planes in R3
  • LO4. perform arithmetic operations in Zn
  • LO5. understand how to use a check digit code vector
  • LO6. solve systems of linear equations using Gaussian elimination
  • LO7. set up systems of linear equations to model real-world situations
  • LO8. add and multiply matrices, and be able to find inverses
  • LO9. find a steady-state vector for a Markov process
  • LO10. understand how Leslie matrices are used to model population growth
  • LO11. calculate eigenvalues and eigenvectors of 2 × 2 and 3 × 3 matrices.

Unit outlines

Unit outlines will be available 2 weeks before the first day of teaching for the relevant session.