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MA3201 - Numerical Methods

Credit points: 03
Year: 2019
Student Contribution Band: Band 2
Administered by: College of Science and Engineering

Numerical linear algebra: LU, QR, SVD factorisations, eigenvalue computations, least squares; numerical partial differential equations: finite differences, stability analysis, iterative solutions for elliptic equations.

Learning Outcomes

  • manipulate advanced algebraic expressions and equations using appropriate techniques;
  • factorise systems of linear equations (A=LU, A=LDU, PA=LU, A=AT=LDLT);
  • understand fundamental theorems and definitions of linear algebra (operation counts, vector norms, matrix norms, condition numbers, Gerschgorin's Theorem, left and right inverses);
  • apply linear algebra methods to solve eigenvalue and eigenvector problems, including QR algorithms and SVD factorisation;
  • solve continuous and discrete least squares problems;
  • classify partial differential equations and analytically solve certain types;
  • construct numerical algorithms for different classes of partial differential equations (parabolic, hyperbolic);
  • communicate mathematical thinking incorporating the concepts and methods presented in the course.
Prerequisites: MA2000 and MA2201

Availabilities

Townsville, Internal, Study Period 2
Census Date 29-Aug-2019
Coordinator: Assoc. Professor Shaun Belward
Contact hours:
  • 26 hours lectures
  • 13 hours practicals
    Assessment: end of semester exam (50%); other exams (10% - 20%); assignments (30% - 40%).

    Cairns, Internal, Study Period 2
    Census Date 29-Aug-2019
    Contact hours:
    • 26 hours lectures
    • 13 hours practicals
      Assessment: end of semester exam (50%); other exams (10% - 20%); assignments (30% - 40%).

      Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.